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In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge degrees of freedom in a gauge theory. In this paper, we…

High Energy Physics - Theory · Physics 2022-07-20 A. P. Balachandran , V. P. Nair , A. Pinzul , A. F. Reyes-Lega , S. Vaidya

We study actions by lattices in higher-rank (semi)simple Lie groups on compact manifolds. By classifying certain measures invariant under a related higher-rank abelian action (the diagonal action on the suspension space) we deduce a number…

Dynamical Systems · Mathematics 2024-06-04 Aaron Brown , Federico Rodriguez Hertz , Zhiren Wang

We construct a seven-dimensional brane world in a slice of AdS_7, where the boundary matter content is fixed by the cancellation of anomalies. The seven-dimensional minimal N=2 gauged supergravity is compactified on the orbifold S^1/Z_2,…

High Energy Physics - Theory · Physics 2009-11-07 Tony Gherghetta , Alex Kehagias

The algebra of differential geometry operations on symmetric tensors over constant curvature manifolds forms a novel deformation of the sl(2,R) [semidirect product] R^2 Lie algebra. We present a simple calculus for calculations in its…

High Energy Physics - Theory · Physics 2009-11-11 Karl Hallowell , Andrew Waldron

The $\mathfrak{osp}(2,N)$-BF formulation of dilaton supergravity in two dimensions is considered. We introduce a consistent class of asymptotic conditions preserved by the extended superreparametrization group of the thermal circle at…

By incorporating two gauge connections, transgression forms provide a generalization of Chern-Simons actions that are genuinely gauge-invariant on bounded manifolds. In this work, we show that, when defined on a manifold with a boundary,…

High Energy Physics - Theory · Physics 2024-01-02 Pablo Pais , Patricio Salgado-Rebolledo , Aldo Vera

We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Arcioni , Matthias Blau , Martin O'Loughlin

In this paper we analyse super-Chern-Simons theory in $\mathcal{N} =1$ superspace formalism, in the presence of a boundary. We modify the Lagrangian for the Chern-Simons theory in such a way that it is supersymmetric even in the presence of…

High Energy Physics - Theory · Physics 2015-06-03 Mir Faizal , Douglas J. Smith

The chiral worldvolume theory of an M-theory boundary (the so-called M9 brane) is uniquely determined by supersymmetry and anomaly inflow. In this brief note we investigate whether alternative chiral boundary field contents may be allowed…

High Energy Physics - Theory · Physics 2025-04-10 Miguel Montero , Luis Zapata

Two main themes populate this Thesis's pages: transgression forms as Lagrangians for gauge theories and the Abelian semigroup expansion of Lie algebras. A transgression form is a function of two gauge connections whose main property is its…

High Energy Physics - Theory · Physics 2008-01-22 Eduardo Rodríguez

We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have…

High Energy Physics - Theory · Physics 2015-06-25 Sergei M. Kuzenko , Stefan Theisen

We construct the worldline superfield massive superparticle actions which preserve 1/4 portion of the underlying higher-dimensional supersymmetry. The rest of supersymmetry is spontaneously broken and realized by nonlinear transformations.…

High Energy Physics - Theory · Physics 2008-11-26 F. Delduc , E. Ivanov , S. Krivonos

Holographic currents and their associated Ward identities are derived in the framework of gravity/gauge duality. Holographic improvements of the energy-momentum tensor and R-symmetry current which are consistent with the Ward identities are…

High Energy Physics - Theory · Physics 2010-12-13 T. E. Clark , S. T. Love , T. ter Veldhuis

A state saturating a BPS bound derived from a supersymmetry algebra preserves some fraction of the supersymmetry. This fraction of supersymmetry depends on the charges carried by the system, and we show that in general there are…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Chris M. Hull

We investigate the asymptotic symmetries of General Relativity at spatial infinity within the first-order formalism described by the Holst action. Employing the covariant phase space method, we propose a set of relaxed boundary conditions…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Sepideh Bakhoda , Hongguang Liu

We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively…

High Energy Physics - Theory · Physics 2020-12-02 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel

Nonlinear supersymmetry is used to compute the general form of the effective D-brane action in type I string theory compactified to four dimensions in the presence of internal magnetic fields. In particular, the scalar potential receives…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , J. P. Derendinger , T. Maillard

It is frequently useful to construct dual descriptions of theories containing antisymmetric tensor fields by introducing a new potential whose curl gives the dual field strength, thereby interchanging field equations with Bianchi…

High Energy Physics - Theory · Physics 2009-09-15 John H. Schwarz , Ashoke Sen

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and…

High Energy Physics - Theory · Physics 2021-09-15 Pietro Benetti Genolini , Paul Richmond
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