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We extend the notion of central charge superspace to the case of local supersymmetry. Gauged central charge transformations are identified as diffeomorphisms at the same footing as space-time diffeomorphisms and local supersymmetry…

High Energy Physics - Theory · Physics 2009-10-31 G. Akemann , R. Grimm , M. Hasler , C. Herrmann

We construct the minimal off-shell formulation of N = 1 chiral supergravity (SUGRA) introducing a complex antisymmetric tensor field $B_{\mu \nu}$ and a complex axial-vector field $A_{\mu}$ as auxiliary fields. The resulting algebra of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Motomu Tsuda , Takeshi Shirafuji

We study four-derivative corrections to 5d $\mathcal{N}=2$ minimal gauged supergravity using tools from conformal supergravity. There are two supersymmetric invariants at the four-derivative order and we show explicitly how to write down…

High Energy Physics - Theory · Physics 2022-05-04 Nikolay Bobev , Kiril Hristov , Valentin Reys

We study the lowest dimensional typical and atypical representations of SU(5/3) superalgebra as a possible unified gauge theory having a natural SU(5) subalgebra with SU(3) extra structure, which will be used to accommodate three…

High Energy Physics - Theory · Physics 2015-06-15 Chang-Ho Kim , Seung Kook Kim , Young-Jai Park

We study the scalar curvature $R$ of the vector moduli space of 5d $\mathcal{N}=1$ supergravities, obtained by compactifying M-theory on a Calabi--Yau three-fold. We find that $R$ can only diverge at points where some gauge interactions go…

High Energy Physics - Theory · Physics 2026-03-02 Alejandro Blanco , Fernando Marchesano , Luca Melotti

We present the N = 2 supersymmetric completion of a scalar curvature squared term in a completely gauge independent form. We also elaborate on its component structure.

High Energy Physics - Theory · Physics 2015-10-28 Sergei M. Kuzenko , Joseph Novak

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the…

High Energy Physics - Theory · Physics 2009-11-07 Machiko Hatsuda , Kiyoshi Kamimura , Makoto Sakaguchi

We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential…

High Energy Physics - Theory · Physics 2020-10-12 Siyul Lee , Sungjay Lee

We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that…

High Energy Physics - Theory · Physics 2015-06-26 Bernard de Wit , Henning Samtleben

Motivated by the necessity to find exact solutions with the elliptic Weierstrass function of the Einstein's equations (see gr-qc/0105022),the present paper develops further the proposed approach in hep-th/0107231, concerning the s.c. cubic…

High Energy Physics - Theory · Physics 2007-05-23 Bogdan G. Dimitrov

We study five-dimensional superconformal field theories and their holographic dual, matter-coupled Romans supergravity. On the one hand, some recently derived formulae allow us to extract the central charges from deformations of the…

High Energy Physics - Theory · Physics 2018-06-13 Chi-Ming Chang , Martin Fluder , Ying-Hsuan Lin , Yifan Wang

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

The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge of standard gauge theories and general…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

Construction of a five dimensional conformal supergravity (D=5 CSG) is attempted by applying the AdS/CFT correspondence to the F(4) AdS supergravity in six dimensions. As a first step, local transformation laws of D=5 CSG have been…

High Energy Physics - Theory · Physics 2009-10-31 Madoka Nishimura

Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly…

High Energy Physics - Theory · Physics 2018-04-04 Yiwen Pan , Wolfger Peelaers

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

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope

We show how to construct seven-dimensional half-maximally supersymmetric consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$ exceptional field theory. Such truncations are defined on generalised…

High Energy Physics - Theory · Physics 2017-06-28 Emanuel Malek

We construct part of the superspace vielbein and tensor gauge field in terms of the component fields of 11-dimensional on-shell supergravity. The result can be utilized to describe supermembranes and corresponding matrix models for…

High Energy Physics - Theory · Physics 2009-10-31 Bernard de Wit , Kasper Peeters , Jan Plefka

We introduce a new superintegrable Kepler-Coulomb system with non-central terms in $N$-dimensional Euclidean space. We show this system is multiseparable and allows separation of variables in hyperspherical and hyperparabolic coordinates.…

Mathematical Physics · Physics 2015-06-23 Md. Fazlul Hoque , Ian Marquette , Yao-Zhong Zhang
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