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We scrutinize the many known forms of BRST symmetries, as well as some new ones, realized within a prototypical first-class system. Similarities and differences among ordinary BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetries are…

High Energy Physics - Theory · Physics 2022-10-28 Bhabani Prasad Mandal , Sumit Kumar Rai , Ronaldo Thibes

We argue validity of purely ghost kinetic operator in open string field theory from the perspective of the modern analytic method based on the $K B c$ subalgebra. A purely ghost kinetic operator is obtained as a result of gauge fixing…

High Energy Physics - Theory · Physics 2014-01-24 Syoji Zeze

We construct solitonic states in the OSp invariant string field theory, which are BRST invariant in the leading order of regularization parameter. One can show that these solitonic states describe D-branes and ghost D-branes, by calculating…

High Energy Physics - Theory · Physics 2008-11-26 Nobuyuki Ishibashi , Yutaka Baba , Koichi Murakami

An inspection of the precise geometric constructions underlying fundamental notions in quantum gauge field theories sheds light on various aspects which tend to be obscured in the usual formalisms. Revising the notions of mutually…

Mathematical Physics · Physics 2016-12-21 Daniel Canarutto

We examine string field algebra which is generated by star product in Witten's string field theory including ghost part. We perform calculations using oscillator representation consistently. We construct wedge like states in ghost part and…

High Energy Physics - Theory · Physics 2010-02-03 Isao Kishimoto

Witten's open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the…

High Energy Physics - Theory · Physics 2024-08-12 Harold Erbin , Atakan Hilmi Fırat

Two-point tree-level amplitudes in bosonic closed string theory are described by a correlation function within the BRST formalism, which respects manifest Lorentz and conformal invariance. In the derivation of the two-point amplitudes, we…

High Energy Physics - Theory · Physics 2024-02-13 Isao Kishimoto , Shigenori Seki , Tomohiko Takahashi

In this work, a particular BRST-exact class of deformations of the b ghost in the non-minimal pure spinor formalism is investigated and the impact of this construction in the $\mathcal{N}=2$ $\hat{c}=3$ topological string algebra is…

High Energy Physics - Theory · Physics 2013-07-24 Renann Lipinski Jusinskas

The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent…

High Energy Physics - Theory · Physics 2009-10-22 Amit Giveon , Martin Rocek

In open string field theory the kinetic operator mixes matter and ghost sectors, and thus the ghost structure of classical solutions is not universal. Nevertheless, we have found from numerical analysis that certain ratios of expectation…

High Energy Physics - Theory · Physics 2009-11-07 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

Developing the analysis in JHEP 03 (2014) 044 [arXiv:1312.1677] by the present authors et al., we clarify the relation between the Witten formulation and the Berkovits formulation of open superstring field theory at the level of the master…

High Energy Physics - Theory · Physics 2015-08-03 Yuki Iimori , Shingo Torii

We study the coupling of the non-minimal ghost fields of the pure spinor superstring in general curved backgrounds. The coupling is found solving the consistent relations from the nilpotency of the non-minimal BRST charge.

High Energy Physics - Theory · Physics 2015-06-23 Osvaldo Chandia , Brenno Carlini Vallilo

We propose a new BRST operator for the B-twist of $N=2$ Landau-Ginzburg (LG) models. It solves the problem of the fractional ghost numbers of Vafa's old BRST operator and shows how the model is obtained by gauge fixing a zero action. An…

High Energy Physics - Theory · Physics 2009-10-28 F. De Jonghe , P. Termonia , W. Troost , S. Vandoren

Thus far, all known ghost-free interactions of multiple spin-2 fields have involved at most pairwise couplings of the fields, which are direct generalizations of bimetric interactions. Here we present a class of spin-2 theories with genuine…

High Energy Physics - Theory · Physics 2019-07-03 S. F. Hassan , Angnis Schmidt-May

We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for $A_{\infty }$. The covariant string field splits into the light-cone string field and trivial…

High Energy Physics - Theory · Physics 2019-05-22 Hiroaki Matsunaga

In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensional (4D) Abelian 2-form and 2D (non-)Abelian 1-form gauge…

High Energy Physics - Theory · Physics 2015-05-30 S. Krishna , A. Shukla , R. P. Malik

In a model in which a vector gauge field $W_\mu^a$ is coupled to an antisymmetric tensor field $\phi_{\mu\nu}^a$ possessing a pseudoscalar mass, it has been shown that all physical degrees of freedom reside in the vector field. Upon…

High Energy Physics - Theory · Physics 2015-05-30 Farrukh Chishtie , D. G. C. McKeon

We define a ghost D-brane in superstring theories as an object that cancels the effects of an ordinary D-brane. The supergroups U(N|M) and OSp(N|M) arise as gauge symmetries in the supersymmetric world-volume theory of D-branes and ghost…

High Energy Physics - Theory · Physics 2009-11-11 Takuya Okuda , Tadashi Takayanagi

We discuss the Becchi-Rouet-Stora-Tyutin (BRST) cohomology and Hodge decomposition theorem for the two dimensional free U(1) gauge theory. In addition to the usual BRST charge, we derive a local, conserved and nilpotent co(dual)-BRST charge…

High Energy Physics - Theory · Physics 2009-10-31 R. P. Malik

The gist of using the light cone gauge lies in the well known property of ghosts decoupling. But from the BRST point of view this is a stringency since for the construction of a nilpotent operator (from a Lie algebra) the presence of ghosts…

High Energy Physics - Theory · Physics 2007-05-23 Ricardo Bentin