The Experts below are selected from a list of 144 Experts worldwide ranked by ideXlab platform
Oscar Varela - One of the best experts on this subject based on the ideXlab platform.
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IIB supergravity and the E-6(6) Covariant Vector-tensor hierarchy
Journal of High Energy Physics, 2015Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional 'dual graviton'. The invariant E-6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
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iib supergravity and the e6 6 Covariant Vector tensor hierarchy
arXiv: High Energy Physics - Theory, 2014Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
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E 6(6) Covariant Vector-tensor hierarchy
2014Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional ‘dual graviton’. The invariant E6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
Franz Ciceri - One of the best experts on this subject based on the ideXlab platform.
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IIB supergravity and the E-6(6) Covariant Vector-tensor hierarchy
Journal of High Energy Physics, 2015Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional 'dual graviton'. The invariant E-6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
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iib supergravity and the e6 6 Covariant Vector tensor hierarchy
arXiv: High Energy Physics - Theory, 2014Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
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E 6(6) Covariant Vector-tensor hierarchy
2014Co-Authors: Franz Ciceri, Bernard De Wit, Oscar VarelaAbstract:IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the Vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional ‘dual graviton’. The invariant E6(6) symmetric tensor that appears in the Vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the Vector fields, as well as consistent expressions for the USp(8) Covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.
Hanno Gottschalk - One of the best experts on this subject based on the ideXlab platform.
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On the formulation of SPDEs leading to local, relativistic QFTs with indefinite metric and nontrivial S-matrix
arXiv: Mathematical Physics, 2004Co-Authors: Sergio Albeverio, Hanno GottschalkAbstract:We discuss Euclidean Covariant Vector random fields as the solution of stochastic partial differential equations of the form $DA=\eta$, where $D$ is a Covariant (w.r.t. a representation \tau of $SO(d)$) differential operator with "positive mass spectrum" and $\eta$ is a non-Gaussian white noise. We obtain explicit formulae for the Fourier transformed truncated Wightman functions, using the analytic continuation of Schwinger functions discussed by Becker, Gielerak and Lugewicz. Based on these formulae we give necessary and sufficient conditions on the mass spectrum of $D$ which imply nontrivial scattering behaviour of relativistic quantum Vector fields associated to the given sequence of Wightman functions. We compute the scattering amplitudes explicitly and we find that the masses of particles in the obtained theory are determined by the mass spectrum of $D$.
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Scattering behaviour of quantum Vector fields obtained from Euclidean Covariant SPDEs
Reports on Mathematical Physics, 1999Co-Authors: Sergio Albeverio, Hanno GottschalkAbstract:We discuss Euclidean Covariant Vector random fields as the solution of stochastic partial differential equations of the form DA = η, where D is a Covariant (w.r.t. a representation τ of SO(d)) differential operator with “positive mass spectrum” and η is a non-Gaussian white noise. We obtain explicit formulae for the Fourier transformed truncated Wightman functions, using the analytic continuation of Schwinger functions discussed by Becker, Gielerak and Lugewicz. Based on these formulae we give necessary and sufficient conditions on the mass spectrum of D which imply nontrivial scattering behaviour of relativistic quantum Vector fields associated to the given sequence of Wightman functions. We compute the scattering amplitudes explicitly and we find that the masses of particles in the obtained theory are determined by the mass spectrum of D.
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Models of local relativistic quantum fields with indefinite metric (in all dimensions)
Communications in Mathematical Physics, 1997Co-Authors: Sergio Albeverio, Hanno GottschalkAbstract:A condition on a set of truncated Wightman functions is formulated and shown to permit the construction of the Hilbert space structure included in the Morchio--Strocchi modified Wightman axioms. The truncated Wightman functions which are obtained by analytic continuation of the (truncated) Schwinger functions of Euclidean scalar random fields and Covariant Vector (quaternionic) random fields constructed via convoluted generalized white noise, are then shown to satisfy this condition. As a consequence such random fields provide relativistic models for indefinite metric quantum field theory, in dimension 4 (Vector case), respectively in all dimensions (scalar case).
Mohamad Reza Tanhayi - One of the best experts on this subject based on the ideXlab platform.
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Conformally Covariant Vector–spinor field in de Sitter space
The European Physical Journal C, 2014Co-Authors: Negin Fatahi, M. V. Takook, Mohamad Reza TanhayiAbstract:In this paper, we study conformally invariant field equations for a Vector–spinor \(\left( \mathrm{spin-}\frac{3}{2}\right) \) field in the de Sitter space-time. The solutions are also obtained in terms of the de Sitter–Dirac plane waves. The related two-point functions are calculated in both the de Sitter ambient space formalism and intrinsic coordinates. In order to study the conformal invariance, Dirac’s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in \(4+2\)-dimensional conformal space and then followed by a projection to the de Sitter space.
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Conformally Covariant Vector-Spinor Field in de Sitter Space
arXiv: High Energy Physics - Theory, 2014Co-Authors: Negin Fatahi, M. V. Takook, Mohamad Reza TanhayiAbstract:In this paper, we study the conformally invariant field equations for Vector-spinor field in de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both de Sitter ambient space formalism and intrinsic de Sitter coordinate. In order to study the conformal invariance, Dirac s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4 + 2 dimensional conformal space and then followed by the projection to de Sitter space.
Lijuan Liu - One of the best experts on this subject based on the ideXlab platform.
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$$\text {SL}(n)$$ SL ( n ) Covariant Vector-valued valuations on $$L^{p}$$ L p -spaces
Annales mathématiques du Québec, 2021Co-Authors: Wei Wang, Lijuan LiuAbstract:A complete classification of continuous $$\text {SL}(n)$$ Covariant Vector-valued valuations on $$L^{p}({\mathbb {R}}^{n},|x|dx)$$ is obtained without any homogeneity assumptions. The moment Vector is shown to be essentially the only such valuation.
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text sl n sl n Covariant Vector valued valuations on l p l p spaces
Annales mathématiques du Québec, 2021Co-Authors: Wei Wang, Lijuan LiuAbstract:A complete classification of continuous $$\text {SL}(n)$$ Covariant Vector-valued valuations on $$L^{p}({\mathbb {R}}^{n},|x|dx)$$ is obtained without any homogeneity assumptions. The moment Vector is shown to be essentially the only such valuation.
