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We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The…

High Energy Physics - Theory · Physics 2023-04-28 Ilya Bakhmatov , Aybike Catal-Ozer , Nihat Sadik Deger , Kirill Gubarev , Edvard T. Musaev

We consider generic N=1 supersymmetric matter coupled to linearized N=1 supergravity through the multiplet of currents. By completing the square, we find the effective action giving the leading supergravity induced correction to the matter…

High Energy Physics - Theory · Physics 2009-10-31 Stephen L. Adler

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore. This yields novel…

High Energy Physics - Theory · Physics 2009-10-30 C. Devchand , Jean Nuyts

The projective superspace formulation for four-dimensional N = 2 matter-coupled supergravity presented in arXiv:0805.4683 makes use of the variant superspace realization for the N = 2 Weyl multiplet in which the structure group is SL(2,C) x…

High Energy Physics - Theory · Physics 2009-08-18 S. M. Kuzenko , U. Lindstrom , M. Rocek , G. Tartaglino-Mazzucchelli

A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Ahmet Baykal , Tekin Dereli

Starting from $E_{11}$ and the space-time translations we construct an algebra that promotes the global $E_{11}$ symmetries to local ones, and consider all its possible massive deformations. The Jacobi identities imply that such…

High Energy Physics - Theory · Physics 2009-10-02 Fabio Riccioni , Duncan Steele , Peter West

The two-dimensional manifestly locally supersymmetric actions describing the N=2 and N=4 extended super-Liouville theory coupled to the N=2 and N=4 conformal supergravity, respectively, are constructed in superspace. It is shown that the…

High Energy Physics - Theory · Physics 2011-07-19 Sergei Ketov

We provide a systematic and practical method of deriving 5D supergravity action described by 4D superfields on a general warped geometry, including a non-BPS background. Our method is based on the superconformal formulation of 5D…

High Energy Physics - Theory · Physics 2009-11-10 Hiroyuki Abe , Yutaka Sakamura

We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged…

High Energy Physics - Theory · Physics 2010-02-03 Carlos Nunez , I. Y. Park , Martin Schvellinger , Tuan A. Tran

There exist two variants of the old minimal formulation for ${\cal N}=1$ supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as…

High Energy Physics - Theory · Physics 2018-01-17 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We develop a general formalism of duality rotations for $\cal N$-extended superconformal gauge multiplets in conformally flat backgrounds as an extension of the approach given in arXiv:2107.02001. Additionally, we construct $\mathsf{U}(1)$…

High Energy Physics - Theory · Physics 2023-10-31 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

Generalised parallelisable spaces permit to uplift many maximal gauged supergravities to ten or eleven dimensions. While some of the former are explicitly known, the literature is still lacking a systematic construction and a complete…

High Energy Physics - Theory · Physics 2024-09-23 Falk Hassler , Yuho Sakatani

We construct a supersymmetric formulation of linearized New Massive Gravity without introducing higher derivatives. Instead, we introduce supersymmetrically a set of bosonic and fermionic auxiliary fields which, upon elimination by their…

High Energy Physics - Theory · Physics 2013-09-10 Eric A. Bergshoeff , Marija Kovacevic , Lorena Parra , Jan Rosseel , Yihao Yin , Thomas Zojer

We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted…

High Energy Physics - Theory · Physics 2009-10-07 E. Cremmer , B. Julia , H. Lu , C. N. Pope

We show that the linearized supergravity potential between two objects arising from the exchange of quanta with zero longitudinal momentum is reproduced to all orders in 1/r by terms in the one-loop Matrix theory potential. The essential…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , W. Taylor

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term…

High Energy Physics - Theory · Physics 2009-12-10 Changhyun Ahn

We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold $M$ of arbitrary topology, providing a geometric characterization of its U-duality group.…

Differential Geometry · Mathematics 2021-07-02 C. I. Lazaroiu , C. S. Shahbazi

The conformal equivalence of fourth-order gravity following from a non-linear Lagrangian L(R) to theories of other types is widely known, here we report on a new conformal equivalence of these theories to theories of the same type but with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. -J. Schmidt

Among the usual constraints of (1,1) supergravity in d=2 the condition of vanishing bosonic torsion is dropped. Using the inverse supervierbein and the superconnection considerably simplifies the formidable computational problems. It allows…

High Energy Physics - Theory · Physics 2009-10-30 M. F. Ertl , M. O. Katanaev , W. Kummer