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In the low-energy limit, M-theory compactified on S1/Z2 is formulated in terms of Bianchi identities with sources localized at orbifold singularities and anomaly-cancelling counterterms to the Wilson effective Lagrangian. Compactifying to…

High Energy Physics - Theory · Physics 2010-11-19 J. -P. Derendinger , R. Sauser

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

The general theory of N=1 supergravity with supermatter is applied to a Bianchi type IX diagonal model. The supermatter is constituted by a complex scalar field and its spin-$1\over 2$ fermionic partners. The Lorentz invariant Ansatz for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. V. Moniz

The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified…

High Energy Physics - Theory · Physics 2022-11-01 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

Building on the superspace formulation for four-dimensional N=2 matter-coupled supergravity developed in arXiv:0805.4683, we elaborate upon a general setting for field theory in N=2 conformally flat superspaces, and concentrate specifically…

High Energy Physics - Theory · Physics 2011-08-04 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2010-02-03 R. D'Auria , S. Ferrara , S. Vaulà

We present a general `off-shell' description of the effective N=1 supergravity describing the low-energy limit of M-theory compactified on (Calabi-Yau) x S1/Z2. In our formulation, the M-theory Bianchi identities are imposed by the…

High Energy Physics - Theory · Physics 2007-05-23 J. -P. Derendinger , R. Sauser

We give the full lagrangean and supersymmetry transformation rules for D=5, N=2 supergravity interacting with an arbitrary number of vector, tensor and hyper-multiplets, with gauging of the R-symmetry group SU(2)_R as well as a subgroup K…

High Energy Physics - Theory · Physics 2009-10-31 A. Ceresole , G. Dall'Agata

Half-supersymmetric geometries of N=2 five-dimensional gauged supergravity have recently been fully classified using spinorial geometry techniques. We use this classification to determine all possible regular half-supersymmetric…

High Energy Physics - Theory · Physics 2011-02-07 J. B. Gutowski , W. A. Sabra

In our recent paper arXiv:0704.1185 [hep-th], we presented the differential geometry of five-dimensional N=1 anti-de Sitter superspace AdS^{5|8}=SU(2,2|1)/SO(4,1) x U(1) and developed the harmonic and the projective superspace settings to…

High Energy Physics - Theory · Physics 2007-11-02 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

We study $N=5$ gauged supergravity in three dimensions with compact, non-compact and non-semisimple gauge groups. The theory under consideration is of Chern-Simons type with $USp(4,k)/USp(4)\times USp(k)$ scalar manifold. We classify…

High Energy Physics - Theory · Physics 2014-01-30 Auttakit Chatrabhuti , Parinya Karndumri , Boonpithak Ngamwatthanakul

We construct multiple embeddings of all solutions of $d=5$ minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $\mathcal{N}=1$ supersymmetric…

High Energy Physics - Theory · Physics 2023-02-01 Christopher Couzens , Niall T. Macpherson , Achilleas Passias

We construct a new off-shell invariant in N=2, D=5 supergravity whose leading term is the square of the Riemann tensor. It contains a gravitational Chern-Simons term involving the vector field that belongs to the supergravity multiplet. The…

High Energy Physics - Theory · Physics 2015-05-28 Eric A. Bergshoeff , Jan Rosseel , Ergin Sezgin

Supergravity with eight supercharges in a four-dimensional Euclidean space is constructed at the full non-linear level by performing an off-shell time-like reduction of five-dimensional supergravity. The resulting four-dimensional theory is…

High Energy Physics - Theory · Physics 2018-01-17 Bernard de Wit , Valentin Reys

Forty-six years after the birth of supersymmetry in 1973 from works of Julius Wess and Bruno Zumino, the standard quantum-field-theorists and particle physicists' language of `superspaces', `supersymmetry', and `supersymmetric action…

Algebraic Geometry · Mathematics 2020-02-28 Chien-Hao Liu , Shing-Tung Yau

We develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in arxiv:1806.03690. The gravitational functional integral…

High Energy Physics - Theory · Physics 2022-10-07 Imtak Jeon , Sameer Murthy

We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2…

High Energy Physics - Theory · Physics 2015-06-11 Anna Ceresole , Sergio Ferrara , Alessandra Gnecchi , Alessio Marrani

We consider 2+1 dimensional off-shell N = 1 pure supergravity that is constructed from graviton, gravitino and auxiliary field. We show that the $R^2$ supersymmetric invariant and $R^2_{\mu \nu}$ supersymmetric invariant are expressed as…

High Energy Physics - Theory · Physics 2016-05-25 Norihiro Iizuka , Akinori Tanaka

We prove that the near-horizon geometries of minimal gauged five-dimensional supergravity preserve at least half of the supersymmetry. If the near-horizon geometries preserve a larger fraction, then they are locally isometric to $AdS_5$.…

High Energy Physics - Theory · Physics 2015-06-15 J. Grover , J. B. Gutowski , G. Papadopoulos , W. A. Sabra
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