scholarly journals Properties of an Alternative Off-Shell Formulation of 4D Supergravity

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 620
Author(s):  
Friedemann Brandt
Keyword(s):  
Tensor Field ◽  
Degrees Of Freedom ◽  
Antisymmetric Tensor ◽  
Tensor Calculus ◽  
Minimal Supergravity ◽  
Antisymmetric Tensor Field ◽  
Shell Formulation ◽  
Matter Fields

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 supercovariant tensor calculus and the construction of invariant actions including matter fields are discussed.

scholarly journals ON THE LARGE N LIMIT, WILSON LOOPS, CONFINEMENT AND COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES

2004 ◽  
Vol 19 (25) ◽  
pp. 4251-4270 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Tensor Field ◽  
Degrees Of Freedom ◽  
Vacuum Expectation ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Wilson Loops ◽  
Tensor Fields ◽  
Yang Mills ◽  
Large N ◽  
Antisymmetric Tensor Field

A novel approach to evaluate the Wilson loops associated with a SU (∞) gauge theory in terms of pure string degrees of freedom is presented. It is based on the Guendelman–Nissimov–Pacheva formulation of composite antisymmetric tensor field theories of area (volume) preserving diffeomorphisms which admit p-brane solutions and which provide a new route to scale-symmetry breaking and confinement in Yang–Mills theory. The quantum effects are discussed and we evaluate the vacuum expectation values (VEV) of the Wilson loops in the large N limit of the quenched reduced SU (N) Yang–Mills theory in terms of a path integral involving pure string degrees of freedom. The quenched approximation is necessary to avoid a crumpling of the string worldsheet giving rise to very large Hausdorff dimensions as pointed out by Olesen. The approach is also consistent with the recent results based on the AdS/CFT correspondence and dual QCD models (dual Higgs model with dual Dirac strings). More general Loop wave equations in C-spaces (Clifford manifolds) are proposed in terms of generalized holographic variables that contain the dynamics of an aggregate of closed branes (p-loops) of various dimensionalities. This allows us to construct the higher-dimensional version of Wilson loops in terms of antisymmetric tensor fields of arbitrary rank which couple to p-branes of different dimensionality.

scholarly journals DUALITY INVARIANCE OF COSMOLOGICAL SOLUTIONS WITH TORSION

1999 ◽  
Vol 14 (31) ◽  
pp. 4953-4966 ◽  
Author(s):  
DEBASHIS GANGOPADHYAY ◽  
SOUMITRA SENGUPTA
Keyword(s):  
Physical Meaning ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Dilaton Field ◽  
Maximal Symmetry ◽  
Killing Vectors ◽  
Cosmological Solutions ◽  
Antisymmetric Tensor Field ◽  
Vacuum Solutions

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present and illustrate this through two toy models by determining the torsion fields, the metric and Killing vectors. Finally we show that under the O(d) ⊗ O(d) transformation this generalized maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.

scholarly journals Lorentz-violating gaugeon formalism for rank-2 tensor theory

2019 ◽  
Vol 34 (30) ◽  
pp. 1950245
Author(s):  
Sudhaker Upadhyay ◽  
Mushtaq B. Shah ◽  
Prince A. Ganai
Keyword(s):  
Tensor Field ◽  
Vector Fields ◽  
Fock Space ◽  
Antisymmetric Tensor ◽  
Type I ◽  
Classical Action ◽  
Tensor Theory ◽  
Antisymmetric Tensor Field ◽  
Gauge Fixing ◽  
Rank 2

We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz-breaking framework. The Lorentz-breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in very special relativity (VSR), we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.

scholarly journals Inflation with an antisymmetric tensor field

2018 ◽  
Vol 78 (11) ◽  
Author(s):  
Sandeep Aashish ◽  
Abhilash Padhy ◽  
Sukanta Panda ◽  
Arun Rana
Keyword(s):  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field

scholarly journals Avoiding instabilities in antisymmetric tensor field driven inflation

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Sandeep Aashish ◽  
Abhilash Padhy ◽  
Sukanta Panda
Keyword(s):  
Gauge Symmetry ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Kinetic Term ◽  
The Past ◽  
Kinetic Part ◽  
Antisymmetric Tensor Field ◽  
Gradient Instability

Abstract Models of inflation with antisymmetric tensor studied in the past are plagued with ghost instability even in an unperturbed FRW background. We show that it is possible to avoid ghosts in an unperturbed FRW background by considering the most general kinetic term for antisymmetric tensor field. The kinetic part acquires a new gauge symmetry violating term whose effect on perturbed modes is to prevent the appearance of nondynamical modes, and thus avoid ghosts. For completeness, we perform a check for gradient instability and derive the conditions for perturbations to be free of gradient instability.

scholarly journals p-BRANES, POISSON-SIGMA MODELS AND EMBEDDING APPROACH TO (p+1)-DIMENSIONAL GRAVITY

1999 ◽  
Vol 14 (31) ◽  
pp. 4881-4914 ◽  
Author(s):  
IGOR A. BANDOS ◽  
WOLFGANG KUMMER
Keyword(s):  
Tensor Field ◽  
Dimensional Space ◽  
Equations Of Motion ◽  
Antisymmetric Tensor ◽  
Supergravity Theory ◽  
Massive Scalar Field ◽  
Antisymmetric Tensor Field ◽  
Dimensional Space Time ◽  
Dimensional Gravity ◽  
Poisson Sigma Model

A generalization of the embedding approach for d-dimensional gravity based upon p-brane theories is proposed. We prove that the D-dimensional p-brane coupled to an antisymmetric tensor field of rank (p+1) provides the dynamical basis for the description of d=(p+1)-dimensional gravity in the isometric embedding formalism. By that we mean that the equations of motion following from this action describe any (p+1)-dimensional space–time (at least locally) once the antisymmetric tensor field is chosen appropriately. "Physical" matter appears in such an approach as a manifestation of a D-dimensional antisymmetric tensor (generalized Kalb–Ramond) background. For the simplest case, the Lorentz harmonic formulation of the bosonic string in a Kalb–Ramond background and its relation to a first order Einstein–Cartan approach for (d=2)-dimensional gravity is analyzed in some detail. We show that a general Poisson-sigma model structure emerges in this case. For the minimal choice of a free D=3 string an interesting "dual" formulation is found which has the structure of a Jackiw–Teitelboim theory, coupled minimally to a massive scalar field. Our approach is intended to serve as a preparation for the study of d-dimensional supergravity theory, either starting from the generalized action of free supersymmetric (d-1)-branes or D(d-1)-branes, or from the corresponding geometric equations ("rheotropic" conditions).

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