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The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

We construct a Lagrangian that describes the dynamics of a six-dimensional free infinite (continuous) spin field in $6D$ Minkowski space. The Lagrangian is formulated in the framework of the BRST approach to higher spin field theory and is…

High Energy Physics - Theory · Physics 2023-08-17 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev , V. A. Krykhtin

We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is…

High Energy Physics - Theory · Physics 2013-04-09 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Yanwen Shang

The BRST quantization of a gauge theory in noncommutative geometry is carried out in the ``matrix derivative" approach. BRST/anti-BRST transformation rules are obtained by applying the horizontality condition, in the superconnection…

High Energy Physics - Theory · Physics 2009-10-28 Chang-Yeong Lee , Dae Sung Hwang , Yuval Ne'eman

The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two massless representation in any $d\geq 3$. The starting point of the construction is the linearised…

High Energy Physics - Theory · Physics 2022-08-23 V. A. Abakumova , Daniel Frolovsky , Hans-Christian Herbig , S. L. Lyakhovich

In this work we derive two important tools for working in the \kappa basis of string field theory. First we give an analytical expression for the finite part of the spectral density \rho_{fin}. This expression is relevant when both matter…

High Energy Physics - Theory · Physics 2007-05-23 Ehud Fuchs , Michael Kroyter , Alon Marcus

We briefly review some modern developments in higher spin field theory and their links with superstring theory. The analysis is based on various BRST constructions allowing to derive the Lagrangians for massive and massless higher spin…

High Energy Physics - Theory · Physics 2014-11-18 X. Bekaert , I. L. Buchbinder , A. Pashnev , M. Tsulaia

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

High Energy Physics - Theory · Physics 2009-10-22 Frank De Jonghe

We study a possibility of Lagrangian formulation for free higher spin bosonic totally symmetric tensor field on the background manifold characterizing by the arbitrary metric, vector and third rank tensor fields in framework of BRST…

High Energy Physics - Theory · Physics 2011-06-15 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

In their simplest form, metric-like Lagrangians for higher-spin massless fields display constrained gauge symmetries, unless auxiliary fields are introduced or locality is foregone. Specifically, in its standard incarnation, gauge…

High Energy Physics - Theory · Physics 2015-06-17 D. Francia , S. L. Lyakhovich , A. A. Sharapov

We generalize the BRST transformations in Abelian rank-2 tensor field theory by allowing the parameter to be finite and field dependent and show that such transformations play crucial role in studying the Abelian 2-form gauge theory in…

High Energy Physics - Theory · Physics 2013-11-26 Sudhaker Upadhyay , Bhabani Prasad Mandal

We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one…

High Energy Physics - Theory · Physics 2007-05-23 M. Martellini , M. Spreafico , K. Yoshida

The problem of determining all consistent non-Abelian local interactions is reviewed in flat space-time. The antifield-BRST formulation of the free theory is an efficient tool to address this problem. Firstly, it allows to compute all…

High Energy Physics - Theory · Physics 2009-11-11 Xavier Bekaert , Nicolas Boulanger , Sandrine Cnockaert , Serge Leclercq

This work deals with the theory of a quantized spin-2 field in the framework of causal perturbation theory. It is divided into two parts. In the first part we analyze the gauge structure of a massless self-interacting quantum tensor field.…

High Energy Physics - Theory · Physics 2007-05-23 M. Wellmann

We review the construction of gauge field theories from BRST first-quantized systems and its relation to the unfolded formalism. In particular, the BRST extension of the non linear unfolded formalism is discussed in some details.

High Energy Physics - Theory · Physics 2007-05-23 Glenn Barnich , Maxim Grigoriev

We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the…

High Energy Physics - Theory · Physics 2017-07-20 Pavel Yu. Moshin , Sudhaker Upadhyay , Ricardo A. Castro

A symmetric zero mass tensor of rank two is constructed using the superstring modes of excitation which satisfies the physical state constraints of a superstring. These states have one to one correspondence with quantised operators and are…

High Energy Physics - Theory · Physics 2014-11-18 B. B. Deo , P. K. Jena , L Maharana

A recent progress in a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS and Minkowski spaces is presented. The procedure is based on a BFV-BRST operator, encoding the initial conditions…

High Energy Physics - Theory · Physics 2007-12-01 Alexander A. Reshetnyak

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian…

High Energy Physics - Theory · Physics 2011-04-01 R. Kumar , R. P. Malik
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