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Related papers: Localization in supergravity

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In this paper we consider the four dimensional N=2 supergravity theory arising from the compactification of type IIA string theory on a Calabi-Yau manifold. We analyse the supersymmetric flow equations for static, spherically symmetric,…

High Energy Physics - Theory · Physics 2016-06-01 Taniya Mandal , Prasanta K. Tripathy

In this technical note we introduce a manifestly gauge-invariant and supersymmetric procedure to regularize and renormalize one-loop divergences of chiral multiplets in two-dimensional N=(2,2) theories in curved spacetime. We apply the…

High Energy Physics - Theory · Physics 2018-01-17 Takuya Okuda

We give a geometric classification of 4-dimensional superalgebras over an algebraic closed field.

Rings and Algebras · Mathematics 2013-03-22 Aaron Armour , Yinhuo Zhang

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

Equivariant quantization is a new theory that highlights the role of symmetries in the relationship between classical and quantum dynamical systems. These symmetries are also one of the reasons for the recent interest in quantization of…

Differential Geometry · Mathematics 2015-05-18 N. Poncin , F. Radoux , R. Wolak

We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general…

High Energy Physics - Theory · Physics 2020-10-28 Guido Festuccia , Anastasios Gorantis , Antonio Pittelli , Konstantina Polydorou , Lorenzo Ruggeri

We study cohomological gauge theories on total spaces of holomorphic line bundles over complex manifolds and obtain their reduction to the base manifold by U(1) equivariant localization of the path integral. We exemplify this general…

High Energy Physics - Theory · Physics 2008-12-18 G. Bonelli , A. Tanzini

New Massive Gravity is an alternative theory to General Relativity that is used to describe the gravitational field in a (2+1)-dimensional spacetime. Black hole solutions have been found in this theory, in particular an asymptotically…

General Relativity and Quantum Cosmology · Physics 2017-05-15 Andrés Aceña , Ericson López , Mario Llerena

We give a brief overview of some of the constraints on the embedding of dark energy in supergravity.

High Energy Physics - Phenomenology · Physics 2008-11-26 Philippe Brax

In this paper we consider axisymmetric black holes in supergravity and address the general issue of defining a first order description for them. The natural setting where to formulate the problem is the De Donder-Weyl-Hamilton-Jacobi theory…

High Energy Physics - Theory · Physics 2015-06-11 Laura Andrianopoli , Riccardo D'Auria , Paolo Giaccone , Mario Trigiante

We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplectic variety with a multiplicity-free action of a compact Lie…

dg-ga · Mathematics 2007-05-23 Michel Brion , Michèle Vergne

We extend our previous study (arXiv:1203.5088) to the case of five-dimensional multi-charge black holes, thus showing that these configurations and their subtracted geometries also lie in a 3d duality orbit. In order to explore the 3d…

High Energy Physics - Theory · Physics 2014-02-26 Anurag Sahay , Amitabh Virmani

We present here a detailed analysis of the local symmetries of supergravity in an arbitrary dimension D, both in the component and superfield approaches, using a field-space democracy point of view. As an application, we discuss briefly how…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos , Jose A. de Azcarraga , Jose M. Izquierdo

We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincar\'e symmetries manifestly. The remaining four supersymmetries and the rest…

High Energy Physics - Theory · Physics 2020-04-22 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch , Stephen Randall

Making use of integral forms and superfield techniques we propose supersymmetric extensions of the multimetric gravity Lagrangians in dimensions one, two, three and four. The supersymmetric interaction potential covariantly deforms the…

High Energy Physics - Theory · Physics 2016-10-12 F. Del Monte , D. Francia , P. A. Grassi

In this article we give a totally new proof of the integral localization formula for equivariantly closed differential forms (Theorem 7.11 in [BGV]). We restate it here as Theorem 2. This localization formula is very well known, but the…

Differential Geometry · Mathematics 2007-05-23 Matvei Libine

We consider an N=4 supersymmetric gauge theory on a curved space. We try to generalize Pestun's localization calculation on the four-sphere to a more general class of curved spaces. We calculated the Q-exact term to localize the…

High Energy Physics - Theory · Physics 2012-03-21 Koichi Nagasaki , Satoshi Yamaguchi

We introduce a general class of toric gravitational instantons in $D=4$, $\mathcal{N}=2$ gauged supergravity, namely Euclidean supersymmetric solutions with $U(1)^2$ isometry. Such solutions are specified by a "supergravity labelled…

High Energy Physics - Theory · Physics 2025-04-11 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Alice Lüscher , James Sparks

We present a framework for studying the dynamics of equivariant vector fields near relative equilibria. To overcome the lack of linearization at a relative equilibrium or the possible non-smoothness of the orbit space, we categorify the…

Dynamical Systems · Mathematics 2020-12-29 Stef Klajbor-Goderich

We discuss a recently proposed limiting curvature theory of gravity and its application to the problem of singularities inside black holes. In this theory the growth of the curvature is suppressed by specially chosen inequality constraints…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Valeri P. Frolov