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We show that it is possible to distinguish between different off-shell completions of supergravity at the on-shell level. We focus on the comparison of the ``new minimal'' formulation of off-shell four-dimensional N=1 supergravity with the…

High Energy Physics - Theory · Physics 2009-11-11 Neil D. Lambert , Gregory W. Moore

The multidimensional gravity on the principal bundle with the SU(2) gauge group is considered. The numerical investigation of the spherically symmetric metrics with the center of symmetry is made. The solution of the gravitational equations…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. Dzhunushaliev , H. -J. Schmidt , O. Rurenko

The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved…

High Energy Physics - Theory · Physics 2015-06-19 M. Akyol , G. Papadopoulos

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework…

High Energy Physics - Theory · Physics 2009-01-07 R. P. Malik

We study the 6-dimensional N=2 supersymmetric grand unified theories with gauge group SU(N) and $ SO(M)$ on the extra space orbifolds $T^2/(Z_2)^3$ and $T^2/(Z_2)^4$, which can be broken down to the 4-dimensional N=1 supersymmetric…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tianjun Li

All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the…

High Energy Physics - Theory · Physics 2010-04-05 Jorge Bellorin , Tomas Ortin

We consider the most general solutions of eleven-dimensional supergravity preserving $N=2$ supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those…

High Energy Physics - Theory · Physics 2023-05-17 Anthony Ashmore

We construct supergravity plus branes solutions, which we argue to be related to 4d N=1 SQCD with a quartic superpotential. The geometries depend on the ratio Nf/Nc which can be kept of order one, present a good singularity at the origin…

High Energy Physics - Theory · Physics 2010-04-06 Roberto Casero , Carlos Nunez , Angel Paredes

We begin to develop the formalism of localization for the functional integral of supergravity on $AdS_3 \times S^2$. We show how the condition of supersymmetry in the Euclidean $\mathbb{H}^3/\mathbb{Z} \times S^2$ geometry naturally leads…

High Energy Physics - Theory · Physics 2023-08-16 Axel Ciceri , Imtak Jeon , Sameer Murthy

This is the first paper of a series that will examine the options for embedding supersymmetric orbifold-GUTs into five-dimensional N=2 Yang-Mills-Einstein supergravity theories (YMESGTs). In particular, we focus on the allowed couplings of…

High Energy Physics - Phenomenology · Physics 2010-04-05 Sean McReynolds

We develop a manifest supertwistor space formalism for three dimensional $\mathcal{N}=1, 2,3,4$ superconformal field theories. This formalism simultaneously makes manifest the supersymmetry, conformal invariance and conservation. We solve…

High Energy Physics - Theory · Physics 2025-03-27 Aswini Bala , Sachin Jain , Dhruva K. S. , Deep Mazumdar , Vibhor Singh , Brijesh Thakkar

Let X be a compact 4-manifold with boundary. We study the space of hyperk\"ahler triples on X, modulo diffeomorphisms which are the identity on the boundary. We prove that this moduli space is a smooth infinite-dimensional manifold and…

Differential Geometry · Mathematics 2017-05-16 Joel Fine , Jason D. Lotay , Michael Singer

We find out the complex geometries corresponding to the semi-classical saddles of threedimensional quantum gravity by making use of the known results of dual conformal field theory (CFT), which is effectively given by Liouville field…

High Energy Physics - Theory · Physics 2024-07-16 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

As a concrete application of the holographic correspondence to manifolds which are only asymptotically Anti-de Sitter, we take a closer look at the quaternionic Taub-NUT space. This is a four dimensional, non-compact, inhomogeneous,…

High Energy Physics - Theory · Physics 2010-02-03 Konstantinos Zoubos

In this note, we propose an extension of the relation between worldsheet global symmetries and structures over moduli spaces of superconformal field theories (SCFTs) to include noninvertible symmetries. The most familiar examples of such…

High Energy Physics - Theory · Physics 2025-06-26 A. Perez-Lona , E. Sharpe , X. Yu

In this paper we examine a new class of five dimensional (5D) exact solutions in extra dimension gravity possessing Lie algebroid symmetry. The constructions provide a motivation for the theory of Clifford nonholonomic algebroids elaborated…

High Energy Physics - Theory · Physics 2007-05-23 Sergiu I. Vacaru

In the framework of usual superfield approach, we derive the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A_\mu) and the…

High Energy Physics - Theory · Physics 2007-05-23 R. P. Malik

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow…

High Energy Physics - Theory · Physics 2018-01-03 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We construct new supersymmetric $\mathrm{AdS}_2\times \mathbb{M}_4$ solutions of $D=6$ gauged supergravity, where $\mathbb{M}_4$ are certain four-dimensional orbifolds. After uplifting to massive type IIA supergravity these correspond to…

High Energy Physics - Theory · Physics 2023-05-16 Federico Faedo , Alessio Fontanarossa , Dario Martelli

We investigate supersymmetric SU(5) grand-unified theories (GUTs) realized in 5 space-time dimensions and broken down to the MSSM by SU(5)-violating boundary conditions on a S^1/(Z_2 x Z_2') orbifold with two 3-branes. The doublet-triplet…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Hebecker , J. March-Russell