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We introduce the topologically twisted index for four-dimensional $\mathcal N=1$ gauge theories quantized on ${\rm AdS}_2 \times S^1$. We compute the index by applying supersymmetric localization to partition functions of vector and chiral…

High Energy Physics - Theory · Physics 2023-07-24 Daniele Iannotti , Antonio Pittelli

We obtain necessary and sufficient conditions for a supersymmetric field configuration in the N=(1,0) U(1) or SU(2) gauged supergravities in six dimensions, and impose the field equations on this general ansatz. It is found that any…

High Energy Physics - Theory · Physics 2009-11-10 Marco Cariglia , Oisin A. P. Mac Conamhna

We deepen and refine the classification of supersymmetric solutions to N=2, D=4 gauged supergravity obtained in a previous paper. In the case where the Killing vector constructed from the Killing spinor is timelike, it is shown that the…

High Energy Physics - Theory · Physics 2009-11-10 Sergio L. Cacciatori , Marco M. Caldarelli , Dietmar Klemm , Diego S. Mansi

We construct the first eleven-dimensional supergravity solutions, which are regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry. They are dual to four-dimensional field theories with N = 2 superconformal symmetry.…

High Energy Physics - Theory · Physics 2013-11-06 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos

We present a new supersymmetric index for three-dimensional ${\cal N}=2$ gauge theories defined on $\Sigma \times S^1$, where $\Sigma$ is a spindle, with twist or anti-twist for the $R$-symmetry background gauge field. We start examining…

High Energy Physics - Theory · Physics 2024-02-20 Matteo Inglese , Dario Martelli , Antonio Pittelli

We report on the construction of four dimensional gauged supergravity models that can be interpreted as type IIB orientifold compactification in presence of 3-form fluxes and D3--branes. We mainly address our attention to the symplectic…

High Energy Physics - Theory · Physics 2009-11-10 Silvia Vaulá

New stationary solutions of $4$-dimensional dilaton-axion gravity are presented, which correspond to the charged Taub-NUT and Israel-Wilson-Perjes (IWP) solutions of Einstein-Maxwell theory. The charged axion-dilaton Taub-NUT solutions are…

High Energy Physics - Theory · Physics 2010-11-01 Renata Kallosh , David Kastor , Tomas Ortin , Tibor Torma

We explore the Euclidean supersymmetric solutions admitting the self-dual gauge field in the framework of ${\cal N}=2$ minimal gauged supergravity in four dimensions. According to the classification scheme utilizing the spinorial geometry…

High Energy Physics - Theory · Physics 2017-05-03 Masato Nozawa

We give a pedagogical review of the localization of supersymmetric gauge theory on 5d toric Sasaki-Einstein manifolds. We construct the cohomological complex resulting from supersymmetry and consider its natural toric deformations with all…

High Energy Physics - Theory · Physics 2017-10-25 Jian Qiu , Maxim Zabzine

The self-gravitating skyrmion is an exact solution of the Einstein $SU(2)$-Skyrme model describing a topological soliton with baryon number $B=1$, living in a $4$-dimensional space-time in the presence of a cosmological constant. Here we…

High Energy Physics - Theory · Physics 2025-03-07 Aldo Vera

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general…

High Energy Physics - Theory · Physics 2009-10-02 Jorge Bellorin

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

Relying on the method of spinorial geometry, purely bosonic supersymmetric solutions in N=2, five-dimensional supergravity theories coupled to vector multiplets in all space-time signatures are found. Explicit examples of some new solutions…

High Energy Physics - Theory · Physics 2021-08-18 W. A. Sabra

The timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets are classified using spinorial geometry techniques. We show that the generalized holonomy group for vacua…

High Energy Physics - Theory · Physics 2014-11-18 Sergio L. Cacciatori , Dietmar Klemm , Diego S. Mansi , Emanuele Zorzan

We propose a topological version of four-dimensional (Euclidean) Einstein gravity, in which anti-self-dual 2-forms and an SU(2) connection are used as fundamental fields. The theory describes the moduli space of conformally self-dual…

High Energy Physics - Theory · Physics 2009-10-22 Mitsuko Abe , A. Nakamichi , T. Ueno

A classification result for Ricci-flat anti-self-dual asymptotically locally Euclidean 4-manifolds is obtained: they are either hyperk\"ahler (one of the gravitational instantons classified by Kronheimer), or they are a cyclic quotient of a…

Differential Geometry · Mathematics 2011-05-02 Evan P. Wright

Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial…

High Energy Physics - Theory · Physics 2014-11-20 Dietmar Klemm , Emanuele Zorzan

We construct eight-dimensional gravitational instantons by solving appropriate self-duality equations for the spin-connection. The particular gravitational instanton we present has $Spin(7)$ holonomy and, in a sense, it is the…

High Energy Physics - Theory · Physics 2009-10-31 I. Bakas , E. Floratos , A. Kehagias

Solutions of five-dimensional De Sitter supergravity admitting Killing spinors are considered, using spinorial geometry techniques. It is shown that the "null" solutions are defined in terms of a one parameter family of 3-dimensional…

High Energy Physics - Theory · Physics 2009-08-26 Jai Grover , Jan B. Gutowski , Carlos A. R. Herdeiro , Patrick Meessen , Alberto Palomo-Lozano , Wafic A. Sabra

We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks