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This article studies some features of quantum field theories with internal supersymmetry, focusing mainly on 2-dimensional non-linear sigma models which take values in a coset superspace. It is discussed how BRST operators from the target…

High Energy Physics - Theory · Physics 2010-05-25 Constantin Candu , Thomas Creutzig , Vladimir Mitev , Volker Schomerus

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST…

High Energy Physics - Theory · Physics 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

We describe the ghost sector of cubic string field theory in terms of degrees of freedom on the two halves of a split string. In particular, we represent a class of pure ghost BRST operators as operators on the space of half-string…

High Energy Physics - Theory · Physics 2010-02-03 David J. Gross , Washington Taylor

Based on a novel first class algebra, we develop an extension of the pure spinor (PS) formalism of Berkovits, in which the PS constraints are removed. By using the homological perturbation theory in an essential way, the BRST-like charge…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Aisaka , Yoichi Kazama

BRST complexes are differential graded Poisson algebras. They are associated to a coisotropic ideal $J$ of a Poisson algebra $P$ and provide a description of the Poisson algebra $(P/J)^J$ as their cohomology in degree zero. Using the notion…

Mathematical Physics · Physics 2017-10-11 Martin Müller-Lennert

We analyse the BRST cohomology of the Ramond sector of heterotic ambitwistor theory. We also write the free string field theory action and compute the supersymmetry transformations.

High Energy Physics - Theory · Physics 2019-09-04 Henrique Flores , Matheus Lize

A method for the calculation of the BRST cohomology, recently developed for 2D gravity theory and the bosonic string in the Beltrami parametrization,is generalised to the superstring theories quantized in super-Beltrami parametrization.

High Energy Physics - Theory · Physics 2011-04-12 Liviu Tătaru , Ion V. Vancea

Consider a physical system for which a mathematically rigorous geometric quantization procedure exists. Now subject the system to a finite set of irreducible first class (bosonic) constraints. It is shown that there is a mathematically…

Differential Geometry · Mathematics 2008-11-26 Ronald Fulp

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Kostas Skenderis

We perform a BRST analysis of the N=2 superconformal minimal unitary models. A bosonic as well as fermionic BRST operators are used to construct irreducible representations of the N=2 superconformal algebra on the Fock space as BRST…

High Energy Physics - Theory · Physics 2010-11-01 Katsuyuki Sugiyama

In our previous paper, we have presented a covariant BRST quantization of unimodular gravity which may account for the smallness of the cosmological constant, and have shown that the physical degrees of freedom in the theory are the same as…

High Energy Physics - Theory · Physics 2022-05-25 Taichiro Kugo , Ryuichi Nakayama , Nobuyoshi Ohta

The BRST cohomology of any topological conformal field theory admits the structure of a Batalin--Vilkovisky algebra, and string theories are no exception. Let us say that two topological conformal field theories are ``cohomologically…

High Energy Physics - Theory · Physics 2009-10-28 JM Figueroa-O'Farrill

Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations ("gaugings"), i.e., the deformations that preserve the number (but…

High Energy Physics - Theory · Physics 2018-04-04 Glenn Barnich , Nicolas Boulanger , Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We demonstrate experimentally ghost optical coherence tomography using a broadband incoherent supercontinuum light source with shot-to-shot random spectral fluctuations. The technique is based on ghost imaging in the spectral domain where…

p-form gauge theories with Stueckelberg coupling are quantized in an irreducible antifield-BRST way. As a consequence, neither the ghosts of ghosts nor their antifields appear. Some irreducible gauge conditions are inferred naturally within…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , S. O. Saliu

We consider the BRST and superconformal properties of the ghost action of 2-D supergravity. Using the background spin structure on the worldsheet, we show that this action can be transformed by canonical field transformations to reach other…

High Energy Physics - Theory · Physics 2009-10-22 Laurent Baulieu

In this short note we discuss N-supersymmetric worldlines of relativistic massless particles and review the known result that physical spin-N/2 fields are in the first BRST cohomology group. For N=1,2,4 emphasis is given to particular…

High Energy Physics - Theory · Physics 2022-07-06 E. Boffo

We consider the theory of bosonic closed strings on the flat background R(25,1). We show how the BRST complex can be extended to a complex where the string center of mass operator, x^mu_0, is well defined. We investigate the cohomology of…

High Energy Physics - Theory · Physics 2014-11-18 Alexander Astashkevich , Alexander Belopolsky

An algebraic cohomological characterization of a class of linearly broken Ward identities is provided. The examples of the topological vector supersymmetry and of the Landau ghost equation are discussed in detail. The existence of such a…

High Energy Physics - Theory · Physics 2010-02-05 L. C. Q. Vilar , O. S. Ventura , C. A. G. Sasaki , S. P. Sorella

We investigate experimentally fundamental properties of coherent ghost imaging using spatially incoherent beams generated from a pseudo-thermal source. A complementarity between the coherence of the beams and the correlation between them is…

Quantum Physics · Physics 2007-05-23 A. Gatti , M. Bache , D. Magatti , E. Brambilla , F. Ferri , L. A. Lugiato