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In addition to superconformal symmetry, (1,1) supersymmetric two-dimensional sigma models on special holonomy manifolds have extra symmetries that are in one-to-one correspondence with the covariantly constant forms on these manifolds. The…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , V. Stojevic

Preliminary evidence is presented that a long overlooked and critical element in the fundamental definition of a general theory of integration over curved Wess-Zumino superspace lies with the imposition of ``the Ethereal Conjecture'' which…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates,

We give efficient superspace methods for deriving component actions for supergravity coupled to matter. One method uses normal coordinates to covariantly expand the superfield action, and can be applied straightforwardly to any superspace.…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Marcus T. Grisaru , Marcia E. Knutt-Wehlau , Warren Siegel

In this set of lectures we give a pedagogical introduction to the way in which the nilpotency of a super-de Rham operator can be exploited for the construction of gauge theories in superspace. We begin with a discussion of how the…

High Energy Physics - Theory · Physics 2017-02-14 Stephen Randall

Using the coset approach (nonlinear realization) we construct component actions for a superparticle in three-dimensional spacetime with N=4 supersymmetry partially broken to N=2. These actions may contain an anyonic term and the square of…

High Energy Physics - Theory · Physics 2014-03-05 Nikolay Kozyrev , Sergey Krivonos , Olaf Lechtenfeld , Armen Nersessian

We evaluate finite part of the on-shell action for black brane solutions of Einstein gravity on different subregions of spacetime enclosed by null boundaries. These subregions include the intersection of WDW patch with past/future interior…

High Energy Physics - Theory · Physics 2019-07-09 Mohsen Alishahiha , Komeil Babaei Velni , M. Reza Mohammadi Mozaffar

Using the superembedding formalism we construct supermembrane actions with higher derivative terms which can be viewed as possible higher order terms in effective actions. In particular, we provide the first example of an action for an…

High Energy Physics - Theory · Physics 2009-11-07 P. S. Howe , U. Lindström

Recent one-loop calculations of certain supergravity-mediated quantum corrections in supersymmetric brane-world models employ either the component formulation (hep-th/0305184) or the superfield formalism with only half of the bulk…

High Energy Physics - Theory · Physics 2009-11-11 Sergei M. Kuzenko , William D. Linch

The effective action for Q.E.D in external magnetic field is constructed using the method of inhomogeneity expansion. We first treat the non-relativistic case where a Chern-Simons like term is generated. We then consider the full…

High Energy Physics - Theory · Physics 2007-05-23 Gil Gat , Alpan Raval , Rashmi Ray

The explicit coordinate transformations which show the equivalence between a four-dimensional spatially flat cosmology and an appropriate submanifold in the flat five-dimensional Minkowski space-time are presented. Analogous procedure is…

General Relativity and Quantum Cosmology · Physics 2010-04-29 Mikhail N. Smolyakov

We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region $M$ with a co-dimension…

High Energy Physics - Theory · Physics 2022-02-24 Sylvain Carrozza , Philipp A. Hoehn

In this paper we develop the formalism to study superforms in N=2 harmonic superspace. We perform a thorough (if not complete) analysis of the superforms starting from 0-form and moving all the way up to 6-form. Like the N=1 case we find…

High Energy Physics - Theory · Physics 2010-02-03 Tirthabir Biswas , Warren Siegel

In this work I consider extensions of Chern-Simons gravities and supergravities associated to the use of Transgression forms as actions, instead of Chern-Simons forms. It is noted that Transgression Forms yields a essencially unique…

High Energy Physics - Theory · Physics 2007-05-23 Pablo Mora

Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in boundary-value problems in cosmology and string theory. Viewed as the non-null conformal infinity of a spacetime, we consider hypersurfaces embedded in a…

Differential Geometry · Mathematics 2023-02-06 Samuel Blitz

Conformal supergravity provides an effective off-shell formalism to study higher derivative actions. We show that the $D=4$, $\mathcal{N}=2$ theory admits equivariantly closed forms. These may be used to compute closed-form expressions for…

High Energy Physics - Theory · Physics 2026-04-13 Pietro Benetti Genolini , Florian Gaar , Jerome P. Gauntlett , James Sparks

We investigate the complex of differential forms in curved, six-dimensional, $N=(1,0)$ superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group…

High Energy Physics - Theory · Physics 2014-02-21 Cesar Arias , William D. Linch , Alexander K. Ridgway

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We construct a mathematical framework for twisted N=2 supersymmetric topological quantum field theory on a 4-manifold. Supersymmetry in flat space is defined and the twist homomorphism is constructed, giving us a supermanifold that is the…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Langmead

We discuss pseudoduality transformations in two dimensional conformally invariant classical sigma models, and extend our analysis to a given boundaries of world-sheet, which gives rise to an appropriate framework for the discussion of the…

High Energy Physics - Theory · Physics 2013-06-20 Mustafa Sarisaman

We present here a cohomological analysis of the new spacetime superalgebras that arise in the context of superbrane theory. They lead to enlarged superspaces that allow us to write D-brane actions in terms of fields associated with the…

High Energy Physics - Theory · Physics 2009-11-07 J. A. de Azcárraga , J. M. Izquierdo