The Experts below are selected from a list of 2565 Experts worldwide ranked by ideXlab platform
Changhyun Ahn - One of the best experts on this subject based on the ideXlab platform.
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spin 5 Casimir Operator its three point functions with two scalars
Journal of High Energy Physics, 2014Co-Authors: Changhyun Ahn, H O KimAbstract:By calculating the second-order pole in the Operator product expansion (OPE) between the spin-3 Casimir Operator and the spin-4 Casimir Operator known previously, the spin-5 Casimir Operator is obtained in the coset model based on $ \left( {A_{N-1}^{(1)}\oplus A_{N-1}^{(1) },\ A_{N-1}^{(1) }} \right) $ at level (k, 1). This spin-5 Casimir Operator consisted of the quintic, quartic (with one derivative) and cubic (with two derivatives) WZW currents contracted with SU(N) invariant tensors. The three-point functions with two scalars for all values of ’t Hooft coupling in the large N limit were obtained by analyzing the zero-mode eigenvalue equations carefully. These three-point functions were dual to those in AdS 3 higher spin gravity theory with matter. Furthermore, the exact three-point functions that hold for any finite N and k are obtained. The zero mode eigenvalue equations for the spin-5 current in CFT coincided with those of the spin-5 field in asymptotic symmetry algebra of the higher spin theory on the AdS 3. This paper also describes the structure constant appearing in the spin-4 Casimir Operator from the OPE between the spin-3 Casimir Operator and itself for N = 4, 5 in the more general coset minimal model with two arbitrary levels (k 1 , k 2).
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spin 5 Casimir Operator and its three point functions with two scalars
arXiv: High Energy Physics - Theory, 2013Co-Authors: Changhyun Ahn, H O KimAbstract:By calculating the second-order pole in the Operator product expansion (OPE) between the spin-3 Casimir Operator and the spin-4 Casimir Operator known previously, the spin-5 Casimir Operator is obtained in the coset model based on (A_{N-1}^{(1)} \oplus A_{N-1}^{(1)}, A_{N-1}^{(1)}) at level (k,1). This spin-5 Casimir Operator consisted of the quintic, quartic (with one derivative) and cubic (with two derivatives) WZW currents contracted with SU(N) invariant tensors. The three-point functions with two scalars for all values of 't Hooft coupling in the large N limit were obtained by analyzing the zero-mode eigenvalue equations carefully. These three-point functions were dual to those in AdS_3 higher spin gravity theory with matter. Furthermore, the exact three-point functions that hold for any finite N and k are obtained. The zero mode eigenvalue equations for the spin-5 current in CFT coincided with those of the spin-5 field in asymptotic symmetry algebra of the higher spin theory on the AdS_3. This paper also describes the structure constant appearing in the spin-4 Casimir Operator from the OPE between the spin-3 Casimir Operator and itself for N=4, 5 in the more general coset minimal model with two arbitrary levels (k_1, k_2).
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the coset spin 4 Casimir Operator and its three point functions with scalars
arXiv: High Energy Physics - Theory, 2011Co-Authors: Changhyun AhnAbstract:We find the GKO coset construction of the dimension 4 Casimir Operator that contains the quartic WZW currents contracted with completely symmetric SU(N) invariant tensors of ranks 4, 3, and 2. The requirements, that the Operator product expansion with the diagonal current is regular and it should be primary under the coset Virasoro generator of dimension 2, fix all the coefficients in spin-4 current, up to two unknown coefficients. The Operator product expansion of coset primary spin-3 field with itself fixes them completely. We compute the three-point functions with scalars for all values of the 't Hooft coupling in the large N limit. At fixed 't Hooft coupling, these three-point functions are dual to that found by Chang and Yin recently in the undeformed AdS_3 bulk theory (higher spin gravity with matter).
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explicit construction of the spin 4 Casimir Operator in the coset model so 5 1 so 5 m so 5 1 m
Journal of Physics A, 1994Co-Authors: Changhyun AhnAbstract:We generalize the coset constructions to the dimension-5/2 Operator for so(5) and compute the fourth-order Casimir invariant in the coset model SO(5)1*SO(5)m/SO(5)1+m with the generic unitary minimal c<5/2 series that can be viewed as perturbations of the m to infinity limit, which has previously been investigated in the c=5/2 realization of the free fermion model.
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explicit construction of spin 4 Casimir Operator in the coset model hat so 5 _ 1 times hat so 5 _ m hat so 5 _ 1 m
arXiv: High Energy Physics - Theory, 1992Co-Authors: Changhyun AhnAbstract:We generalize the Goddard-Kent-Olive (GKO) coset construction to the dimension 5/2 Operator for $ \hat{so} (5) $ and compute the fourth order Casimir invariant in the coset model $\hat{SO} (5)_{1} \times \hat{SO} (5)_{m} / \hat{SO} (5)_{1+m} $ with the generic unitary minimal $ c < 5/2 $ series that can be viewed as perturbations of the $ m \rightarrow \infty $ limit, which has been investigated previously in the realization of $ c= 5/2 $ free fermion model.
H O Kim - One of the best experts on this subject based on the ideXlab platform.
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spin 5 Casimir Operator its three point functions with two scalars
Journal of High Energy Physics, 2014Co-Authors: Changhyun Ahn, H O KimAbstract:By calculating the second-order pole in the Operator product expansion (OPE) between the spin-3 Casimir Operator and the spin-4 Casimir Operator known previously, the spin-5 Casimir Operator is obtained in the coset model based on $ \left( {A_{N-1}^{(1)}\oplus A_{N-1}^{(1) },\ A_{N-1}^{(1) }} \right) $ at level (k, 1). This spin-5 Casimir Operator consisted of the quintic, quartic (with one derivative) and cubic (with two derivatives) WZW currents contracted with SU(N) invariant tensors. The three-point functions with two scalars for all values of ’t Hooft coupling in the large N limit were obtained by analyzing the zero-mode eigenvalue equations carefully. These three-point functions were dual to those in AdS 3 higher spin gravity theory with matter. Furthermore, the exact three-point functions that hold for any finite N and k are obtained. The zero mode eigenvalue equations for the spin-5 current in CFT coincided with those of the spin-5 field in asymptotic symmetry algebra of the higher spin theory on the AdS 3. This paper also describes the structure constant appearing in the spin-4 Casimir Operator from the OPE between the spin-3 Casimir Operator and itself for N = 4, 5 in the more general coset minimal model with two arbitrary levels (k 1 , k 2).
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spin 5 Casimir Operator and its three point functions with two scalars
arXiv: High Energy Physics - Theory, 2013Co-Authors: Changhyun Ahn, H O KimAbstract:By calculating the second-order pole in the Operator product expansion (OPE) between the spin-3 Casimir Operator and the spin-4 Casimir Operator known previously, the spin-5 Casimir Operator is obtained in the coset model based on (A_{N-1}^{(1)} \oplus A_{N-1}^{(1)}, A_{N-1}^{(1)}) at level (k,1). This spin-5 Casimir Operator consisted of the quintic, quartic (with one derivative) and cubic (with two derivatives) WZW currents contracted with SU(N) invariant tensors. The three-point functions with two scalars for all values of 't Hooft coupling in the large N limit were obtained by analyzing the zero-mode eigenvalue equations carefully. These three-point functions were dual to those in AdS_3 higher spin gravity theory with matter. Furthermore, the exact three-point functions that hold for any finite N and k are obtained. The zero mode eigenvalue equations for the spin-5 current in CFT coincided with those of the spin-5 field in asymptotic symmetry algebra of the higher spin theory on the AdS_3. This paper also describes the structure constant appearing in the spin-4 Casimir Operator from the OPE between the spin-3 Casimir Operator and itself for N=4, 5 in the more general coset minimal model with two arbitrary levels (k_1, k_2).
S O Krivonos - One of the best experts on this subject based on the ideXlab platform.
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split Casimir Operator for simple lie algebras solutions of yang baxter equations and vogel parameters
Journal of Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in defining (minimal fundamental) and adjoint representations. By means of these characteristic identities, for all simple Lie algebras, we derive explicit formulas for invariant projectors onto irreducible subrepresentations in T⊗2 in two cases, when T is the defining and the adjoint representation. In the case when T is the defining representation, these projectors and the split Casimir Operator are used to explicitly write down invariant solutions of the Yang–Baxter equations. In the case when T is the adjoint representation, these projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator and universal formulation of the simple lie algebras
Symmetry, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T⊗2 in the case when T is the adjoint representation. These projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator and universal formulation of the simple lie algebras
arXiv: Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T^{\otimes 2} in the case when T is the adjoint representation. These projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator for simple lie algebras solutions of yang baxter equations and vogel parameters
arXiv: Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in defining (minimal fundamental) and adjoint representations. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T^{\otimes 2} in two cases, when T is the defining and the adjoint representation. In the case when T is the defining representation, these projectors and the split Casimir Operator are used to explicitly write down invariant solutions of the Yang-Baxter equations. In the case when T is the adjoint representation, these projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
V Dmitrasinovic - One of the best experts on this subject based on the ideXlab platform.
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cubic Casimir Operator of suc 3 and confinement in the nonrelativistic quark model
Physics Letters B, 2001Co-Authors: V DmitrasinovicAbstract:Abstract Only two-body [F i ·F j ] confining potentials have been considered, thus far, in the quark model without gluons, which by construction can only depend on the quadratic Casimir Operator of the colour SU(3) group. A three-quark potential that depends on the cubic Casimir Operator is added to the quark model. This results in improved properties of q 3 colour nonsinglet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the “colour dissolution/anticonfinement” problem of the F i ·F j model is avoided.
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cubic Casimir Operator of su _c 3 and confinement in the nonrelativistic quark model
arXiv: High Energy Physics - Phenomenology, 2000Co-Authors: V DmitrasinovicAbstract:Only two-body [${\rm F}_{i} \cdot {\rm F}_{j}$] confining potentials have been considered, thus far, in the quark model without gluons, which by construction can only depend on the quadratic Casimir Operator of the colour SU(3) group. A three-quark potential that depends on the cubic Casimir Operator is added to the quark model. This results in improved properties of $q^3$ colour non-singlet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the "colour dissolution/anticonfinement" problem of the ${\rm F}_{i} \cdot {\rm F}_{j}$ model is avoided.
A P Isaev - One of the best experts on this subject based on the ideXlab platform.
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split Casimir Operator for simple lie algebras solutions of yang baxter equations and vogel parameters
Journal of Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in defining (minimal fundamental) and adjoint representations. By means of these characteristic identities, for all simple Lie algebras, we derive explicit formulas for invariant projectors onto irreducible subrepresentations in T⊗2 in two cases, when T is the defining and the adjoint representation. In the case when T is the defining representation, these projectors and the split Casimir Operator are used to explicitly write down invariant solutions of the Yang–Baxter equations. In the case when T is the adjoint representation, these projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator and universal formulation of the simple lie algebras
Symmetry, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T⊗2 in the case when T is the adjoint representation. These projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator and universal formulation of the simple lie algebras
arXiv: Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T^{\otimes 2} in the case when T is the adjoint representation. These projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.
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split Casimir Operator for simple lie algebras solutions of yang baxter equations and vogel parameters
arXiv: Mathematical Physics, 2021Co-Authors: A P Isaev, S O KrivonosAbstract:We construct characteristic identities for the split (polarized) Casimir Operators of the simple Lie algebras in defining (minimal fundamental) and adjoint representations. By means of these characteristic identities, for all simple Lie algebras we derive explicit formulae for invariant projectors onto irreducible subrepresentations in T^{\otimes 2} in two cases, when T is the defining and the adjoint representation. In the case when T is the defining representation, these projectors and the split Casimir Operator are used to explicitly write down invariant solutions of the Yang-Baxter equations. In the case when T is the adjoint representation, these projectors and characteristic identities are considered from the viewpoint of the universal description of the simple Lie algebras in terms of the Vogel parameters.