The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform
Mehmet Akyol - One of the best experts on this subject based on the ideXlab platform.
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spinorial geometry and killing spinor equations of 6d supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George PapadopoulosAbstract:We solve the Killing spinor equations of six-dimensional (1, 0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are , , , Sp(1)(2), U(1)(4) and {1}(8), where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion given by the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The case admits a descendant solution preserving three out of four supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the Sp(1) and U(1) cases, the spacetime admits three and four parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
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Spinorial geometry and Killing spinor equations of 6D supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George PapadopoulosAbstract:We solve the Killing spinor equations of 6-dimensional (1, 0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are Sp(1)*Sp(1)H(1), U (1)*Sp(1)H(2), Sp(1)H(3, 4), Sp(1)(2), U (1)(4) and {1}(8), where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The Sp(1) H case admits a descendant solution preserving 3 out of 4 supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the Sp(1) and U (1) cases, the spacetime admits 3 and 4 parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
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Spinorial geometry and Killing spinor equations of 6-D supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George K. PapadopoulosAbstract:We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot Sp(1)\ltimes \bH (2)$, $Sp(1)\ltimes \bH (3,4)$, $Sp(1) (2)$, $U(1) (4)$ and $\{1\} (8)$, where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The $Sp(1)\ltimes \bH$ case admits a descendant solution preserving 3 out of 4 supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the $Sp(1)$ and U(1) cases, the spacetime admits 3 and 4 parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
George Papadopoulos - One of the best experts on this subject based on the ideXlab platform.
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spinorial geometry and killing spinor equations of 6d supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George PapadopoulosAbstract:We solve the Killing spinor equations of six-dimensional (1, 0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are , , , Sp(1)(2), U(1)(4) and {1}(8), where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion given by the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The case admits a descendant solution preserving three out of four supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the Sp(1) and U(1) cases, the spacetime admits three and four parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
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Spinorial geometry and Killing spinor equations of 6D supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George PapadopoulosAbstract:We solve the Killing spinor equations of 6-dimensional (1, 0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are Sp(1)*Sp(1)H(1), U (1)*Sp(1)H(2), Sp(1)H(3, 4), Sp(1)(2), U (1)(4) and {1}(8), where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The Sp(1) H case admits a descendant solution preserving 3 out of 4 supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the Sp(1) and U (1) cases, the spacetime admits 3 and 4 parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
George K. Papadopoulos - One of the best experts on this subject based on the ideXlab platform.
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Spinorial geometry and Killing spinor equations of 6-D supergravity
Classical and Quantum Gravity, 2011Co-Authors: Mehmet Akyol, George K. PapadopoulosAbstract:We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The Isotropy Groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot Sp(1)\ltimes \bH (2)$, $Sp(1)\ltimes \bH (3,4)$, $Sp(1) (2)$, $U(1) (4)$ and $\{1\} (8)$, where in parenthesis is the number of supersymmetries preserved in each case. If the Isotropy Group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The $Sp(1)\ltimes \bH$ case admits a descendant solution preserving 3 out of 4 supersymmetries due to the hyperini Killing spinor equation. If the Isotropy Group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the $Sp(1)$ and U(1) cases, the spacetime admits 3 and 4 parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie Group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
Octavio A. Agustín-aquino - One of the best experts on this subject based on the ideXlab platform.
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Enumeration of strong dichotomy patterns
2018Co-Authors: Octavio A. Agustín-aquinoAbstract:We apply the version of Polya-Redfield theory obtained by White to count patterns with a given automorphism Group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of \(\mathbb{Z}_{2k}\) with respect to the action of \(\operatorname{Aff}(\mathbb{Z}_{2k})\) and with trivial Isotropy Group. As a byproduct, a conjectural instance of phenomenon similar to cyclic sieving for special cases of these combinatorial objects is proposed.
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Enumeration of strong dichotomy patterns.
arXiv: Combinatorics, 2014Co-Authors: Octavio A. Agustín-aquinoAbstract:We apply the version of Polya-Redfield theory obtained by White to count patterns with a given automorphism Group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of $\mathbb{Z}_{2k}$ with respect to the action of $\Aff(\mathbb{Z}_{2k})$ and with trivial Isotropy Group. As a byproduct, a conjectural instance of phenomenon similar to cyclic sieving for special cases of these combinatorial objects is proposed.
Bin Zhou - One of the best experts on this subject based on the ideXlab platform.
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The principle of relativity and the special relativity triple
Physics Letters B, 2009Co-Authors: Han-ying Guo, Bin ZhouAbstract:Based on the principle of relativity and the postulate on universal invariant constants ($c,l$) as well as Einstein's Isotropy conditions, three kinds of special relativity form a triple with a common Lorentz Group as Isotropy Group under full Umov-Weyl-Fock-Lorentz transformations among inertial motions.Comment: 11 papge
