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Related papers: BRST-Antibracket Cohomology in 2D Conformal Gravit…

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We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer…

High Energy Physics - Theory · Physics 2017-09-13 Tim Adamo , Ricardo Monteiro , Miguel F. Paulos

On every split supermanifold equipped with the Rothstein even super-Poisson bracket we construct a deformation quantization by means of a Fedosov-type procedure. In other words, the supercommutative algebra of all smooth sections of the…

Quantum Algebra · Mathematics 2007-05-23 Martin Bordemann

We study field theories in two spacetime dimensions invariant under a chiral scaling symmetry that acts only on right-movers. The local symmetries include one copy of the Virasoro algebra and a U(1) current algebra. This differs from the 2d…

High Energy Physics - Theory · Physics 2015-06-11 Stephane Detournay , Thomas Hartman , Diego M. Hofman

We discuss the BRST cohomology and exhibit a connection between the Hodge decomposition theorem and the topological properties of a two dimensional free non-Abelian gauge theory having no interaction with matter fields. The topological…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik

A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism. All of these models suggest that there is an…

High Energy Physics - Theory · Physics 2007-05-23 M. Buric , J. Madore

For a sigma model of AKSZ-type, we show that the local BRST cohomology is isomorphic to the cohomology of the target space differential when restricted to coordinate neighborhoods both in the base and in the target. An analogous result is…

Mathematical Physics · Physics 2011-01-17 Glenn Barnich , Maxim Grigoriev

The local BRST cohomology of the gauged non-linear sigma model on a group manifold is worked out for any Lie group G. We consider both, the case where the gauge field is dynamical and the case where it has no kinetic term (G/G topological…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Andre' Wilch

We present a conformal field theory calculation of four-point and three-point correlation functions for the bosonic twist fields arising at the intersections of D-branes wrapping (supersymmetric) homology cycles of Type II orientifold…

High Energy Physics - Theory · Physics 2014-11-18 Mirjam Cvetic , Ioannis Papadimitriou

We consider the BRST symmetric four dimensional BF theory, a topological theory, containing antysymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the…

High Energy Physics - Theory · Physics 2017-09-05 Manoj Kumar Dwivedi

The BRST formalism has played a fundamental role in the construction of bosonic closed string backgrounds, ie. the stringy analogs of classical solutions to the field equations of general relativity. The concept of a string background has…

High Energy Physics - Theory · Physics 2008-02-03 Bong H. Lian , Gregg J. Zuckerman

We discuss the nilpotent Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations and derive their corresponding conserved charges in the case of a two (1+1)-dimensional (2D) self-interacting non-Abelian gauge…

High Energy Physics - Theory · Physics 2021-11-02 S. Kumar , B. K. Kureel , R. P. Malik

Classical BRST invariance in the pure spinor formalism for the open superstring is shown to imply the supersymmetric Born-Infeld equations of motion for the background fields. These equations are obtained by requiring that the left and…

High Energy Physics - Theory · Physics 2011-07-19 Nathan Berkovits , Vladimir Pershin

We derive the canonical (anti-)commutation relations amongst the creation and annihilation operators of the various basic fields, present in the four (3 + 1)-dimensional (4D) free Abelian 2-from gauge theory, with the help of continuous…

High Energy Physics - Theory · Physics 2011-05-10 Saurabh Gupta , R. Kumar

Quantum gravity that describes the world beyond the Planck scale should be formulated in a background-metric independent manner. Such a background-free nature can be represented as a gauge equivalency under conformal transformations, called…

High Energy Physics - Theory · Physics 2017-08-01 Ken-ji Hamada

In this paper we analyse a certain type of higher derivative gauge theories which are known to possess BRST symmetry associated with their higher derivative structure. We first show that these theories are also invariant under a anti-BRST…

General Physics · Physics 2014-08-29 Mozzam Khan

The BRST-antiBRST invariant path integral formulation of classical mechanics of Gozzi et al is generalized to pseudomechanics. It is shown that projections to physical propagators may be obtained by BRST-antiBRST invariant boundary…

High Energy Physics - Theory · Physics 2009-10-31 Robert Marnelius

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

We characterize the dependence on doublets of the cohomology of an arbitrary nilpotent differential s (including BRST differentials and classical linearized Slavnov-Taylor (ST) operators) in terms of the cohomology of the…

High Energy Physics - Theory · Physics 2009-11-07 Andrea Quadri

A six dimensional braneworld scenario based on a model describing the interaction of gravity, gauge fields and 3+1 branes in a conformally invariant way is described. The action of the model is defined using a measure of integration built…

General Relativity and Quantum Cosmology · Physics 2015-06-25 E. I. Guendelman

We describe a pure spinor BRST cohomology framework to compactly represent ten-dimensional one-loop amplitudes involving any number of massless open- and closed-string states. The method of previous work to construct scalar and vectorial…

High Energy Physics - Theory · Physics 2014-08-18 Carlos R. Mafra , Oliver Schlotterer