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Bulk supergravity on a manifold with boundary must be supplemented by boundary conditions that preserve local supersymmetry. This "downstairs" picture has certain advantages over the equivalent "upstairs" picture, expressed in terms of…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan Bagger , Dmitry V. Belyaev

We establish a direct correspondence between certain higher-rank p-form Chern-Simons topological type theories in the bulk of a manifold with boundary and particular sectors of supergravity models on the boundary, provided that certain…

High Energy Physics - Theory · Physics 2007-05-23 I. V. Lavrinenko

We review the geometric superspace approach to the boundary problem in supergravity, retracing the geometric construction of four-dimensional supergravity Lagrangians in the presence of a non-trivial boundary of spacetime. We first focus on…

High Energy Physics - Theory · Physics 2021-11-30 Laura Andrianopoli , Lucrezia Ravera

In this work, we build the most general boundary conditions for $\mathcal N=\left(1,1\right)$ and $\mathcal N=\left(2,2\right)$ extended supergravity. We show that for the loosest set of boundary conditions, their asymptotic symmetry…

High Energy Physics - Theory · Physics 2019-03-06 C. E. Valcárcel

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the…

High Energy Physics - Theory · Physics 2008-11-26 Sean McReynolds

We provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

High Energy Physics - Theory · Physics 2010-02-03 M. Ertl , W. Kummer , T. Strobl

We extend the Kac-Moody (KM) boundary conditions of AdS$_3$ gravity by incorporating fermionic fields. For $\mathcal{N}=(1,1)$ AdS$_3$ supergravity, we show that there are two possible ways to implement the fermionic extension. In the…

High Energy Physics - Theory · Physics 2025-12-02 Nabamita Banerjee , Vedant Bhutra , Suvankar Dutta , Soumava Kundu

In this paper we derive part of the low energy action corresponding to F-theory compactifications on specific eight manifolds with SU(3) structure. The setup we use can actually be reduced to compactification of six-dimensional supergravity…

High Energy Physics - Theory · Physics 2011-12-12 Andrei Micu

We explore the supersymmetry invariance of a supergravity theory in the presence of a non-trivial boundary. The explicit construction of a bulk Lagrangian based on an enlarged superalgebra, known as $AdS$-Lorentz, is presented. Using a…

High Energy Physics - Theory · Physics 2016-09-08 P. K. Concha , M. C. Ipinza , L. Ravera , E. K. Rodríguez

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

We extend to the context of hyperbolic 3-manifolds with geodesic boundary Thurston's approach to hyperbolization by means of geometric triangulations. In particular, we introduce moduli for (partially) truncated hyperbolic tetrahedra, and…

Geometric Topology · Mathematics 2007-05-23 R. Frigerio , C. Petronio

A finite action principle for three-dimensional gravity with negative cosmological constant, based on a boundary condition for the asymptotic extrinsic curvature, is considered. The bulk action appears naturally supplemented by a boundary…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

We extend the formulation of gauged supergravity in five dimensions, as obtained by compactification of $M$~theory on a deformed Calabi-Yau manifold, to include non-universal matter hypermultiplets. Even in the presence of this gauging,…

High Energy Physics - Theory · Physics 2009-09-11 John Ellis , Zygmunt Lalak , Witold Pokorski

Superconformal tensor calculus on an orbifold S^1/Z_2 is given in five-dimensional (5D) spacetime. The four-dimensional superconformal Weyl multiplet and various matter multiplets are induced on the boundary planes from the 5D…

High Energy Physics - Theory · Physics 2009-11-07 Taichiro Kugo , Keisuke Ohashi

In this work, we construct a three-dimensional non-relativistic Chern--Simons supergravity theory with both curvature and torsion within the Mielke--Baekler framework. We show that a consistent non-relativistic supergravity formulation…

High Energy Physics - Theory · Physics 2026-04-28 Francisco Barriga , Patrick Concha , Nelson Merino , Evelyn Rodríguez

We investigate the Brown-York stress tensor for curvature-squared theories. This requires a generalized Gibbons-Hawking term in order to establish a well-posed variational principle, which is achieved in a universal way by reducing the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Erik Tonni

We solve two-dimensional gravity on surfaces with boundary in terms of contact interactions and surface degenerations. The known solution of the bulk theory in terms of a contact algebra is generalized to include boundaries and an enlarged…

High Energy Physics - Theory · Physics 2023-02-01 Jan Troost

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

We extend the f(R) gravity action by including a generic dependence upon the Weyl tensor, and further generalize it to supergravity by using the super-curvature (R) and super-Weyl (W) chiral superfields in N=1 chiral curved superspace. We…

High Energy Physics - Theory · Physics 2013-07-24 Sergei V. Ketov , Takahiro Terada

An off-shell formulation is given for the ``supersymmetry in singular spaces'' which has recently been developed in an on-shell formalism by Bergshoeff, Kallosh and Van Proeyen using supersymmetry singlet `coupling constant' field and…

High Energy Physics - Theory · Physics 2014-11-18 Tomoyuki Fujita , Taichiro Kugo , Keisuke Ohashi