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We compute the ${\cal N}=2$ supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the K\"ahler form with jumps…

Recently a new maximally supersymmetric, dyonically gauged supergravity in four-dimenions has been constructed. This theory admits several supersymmetric AdS solutions, and a Chern- Simons-matter dual theory has been proposed for a solution…

High Energy Physics - Theory · Physics 2018-08-29 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

We construct a supergeometry based on S^2XS^2 on which four dimensional N=2 gauge theories can be placed supersymmetrically while preserving all supersymmetries. By embedding the supergeometry in four dimensional N=2 supergravity we are…

High Energy Physics - Theory · Physics 2014-11-19 Musema Sinamuli

When placed on four-manifolds, $ \mathcal{N} = 2 $ gauge theories couple to topological invariants of the background via two functions $ A $ and $ B $. General considerations allow for these functions to be fixed in terms of the Coulomb…

High Energy Physics - Theory · Physics 2022-09-28 Renjan Rajan John , Sujoy Mahato , Madhusudhan Raman

We study a solution generating technique in supergravity which can be viewed as a generalised version of U-duality, taking solutions of type IIA supergravity on a 6-sphere with RR flux to new solutions of 11-dimensional supergravity. The…

High Energy Physics - Theory · Physics 2023-01-04 Chris D. A. Blair , Sofia Zhidkova

We consider the superfield formulation of supersymmetric gauge and matter field theories on a three-dimensional sphere with rigid ${\cal N}=2$ supersymmetry, as well as with ${\cal N}> 2$. The construction is based on a supercoset…

High Energy Physics - Theory · Physics 2015-06-18 I. B. Samsonov , D. Sorokin

The low energy effective couplings of a four-dimensional $\mathcal{N}=2$ supersymmetric gauge theory to topological invariants of the background gravitational field are described by two functions $A$ and $B$. These two functions play an…

High Energy Physics - Theory · Physics 2020-07-15 Jan Manschot , Gregory W. Moore , Xinyu Zhang

We propose methods towards a systematic determination of d dimensional curved spaces where Euclidean field theories with rigid supersymmetry can be defined. The analysis is carried out from a group theory as well as from a supergravity…

High Energy Physics - Theory · Physics 2015-06-12 A. Kehagias , J. G. Russo

We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same…

High Energy Physics - Theory · Physics 2011-07-06 Laura Andrianopoli , Riccardo D'Auria , Luca Sommovigo , Mario Trigiante

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled…

High Energy Physics - Theory · Physics 2015-12-09 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally…

High Energy Physics - Theory · Physics 2009-11-07 Michael Gutperle , Wafic A. Sabra

Expanding on previous papers, we continue studying Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. Using a set of differential constraints on a $SU(2)$ structure, we look for further…

High Energy Physics - Theory · Physics 2019-06-26 Carolina Matté Gregory

We summarize and extend our work on nonsupersymmetric solutions of a 5d consistent truncation of type IIB supergravity, that is relevant for gauge/gravity duality. The fields in this 5d theory are the five-dimensional metric and a set of…

High Energy Physics - Theory · Physics 2016-01-08 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N=2 supergravity and carefully analyse the relation to gravitational theories known as "fake supergravities". We first show that \emph{curved} BPS-domain…

High Energy Physics - Theory · Physics 2009-11-10 Alessio Celi , Anna Ceresole , Gianguido Dall'Agata , Antoine Van Proeyen , Marco Zagermann

Five-dimensional $\mathcal{N}=1$ theories with gauge group $U(N)$, $SU(N)$, $USp(2N)$ and $SO(N)$ are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal…

High Energy Physics - Theory · Physics 2021-07-19 Leonardo Santilli

We find a large class of supersymmetric domain wall solutions from six-dimensional $N=(2,2)$ gauged supergravity with various gauge groups. In general, the embedding tensor lives in $\mathbf{144}_c$ representation of the global symmetry…

High Energy Physics - Theory · Physics 2021-08-27 Parinya Karndumri , Patharadanai Nuchino

We study phase structure of mass-deformed ABJM theory which is a three dimensional $\mathcal{N}=6$ superconformal theory deformed by mass parameters and has the gauge group $\text{U}(N)\times \text{U}(N)$ with Chern-Simons levels $(k,-k)$…

High Energy Physics - Theory · Physics 2019-05-01 Masazumi Honda , Tomoki Nosaka , Kazuma Shimizu , Seiji Terashima

An N=1/2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard (1,1) conformally extended supergravity in four Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Tomoya Hatanaka , Sergei V. Ketov

We construct four-dimensional domain wall solutions of N=2 gauged supergravity coupled to vector and to hypermultiplets. The gauged supergravity theories that we consider are obtained by performing two types of Abelian gauging. In both…

High Energy Physics - Theory · Physics 2009-10-07 Klaus Behrndt , Gabriel Lopes Cardoso , Dieter Lust

We consider mass-deformed theories with ${\cal N}\geq2$ supersymmetry on round and squashed three-spheres. By embedding the supersymmetric backgrounds in extended supergravity we show that at special values of mass deformations the…

High Energy Physics - Theory · Physics 2022-01-19 Joseph Minahan , Usman Naseer , Charles Thull