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We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow to systematically reduce the spectrum of fields and subject some of them…

High Energy Physics - Theory · Physics 2023-01-03 Maxim Grigoriev , Adiel Meyer , Ivo Sachs

The worldsheet of the string theory, which consisting of 26 free scalar fields in Minkowski space, is two dimensional conformal field theory. If we denote the two dimension conformal field theory by elliptic curve and denote the partition…

High Energy Physics - Theory · Physics 2019-03-19 Jing Zhou , Jialun Ping

In the framework of simplicial models, we construct and we fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analysed from a string theory perspective as tools to deal with…

High Energy Physics - Theory · Physics 2007-11-01 Valeria L. Gili , Mauro Carfora , Claudio Dappiaggi

We construct a class of nilpotent operators using the BRST current and ghost fields in superstring theory. The operator can be realized in cubic superstring field theory as a kinetic operator in the background of an identity-based solution.…

High Energy Physics - Theory · Physics 2015-05-30 Shoko Inatomi , Isao Kishimoto , Tomohiko Takahashi

We study gauge invariant operators of open string field theory and find a precise correspondence with on-shell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their…

High Energy Physics - Theory · Physics 2010-02-03 Akikazu Hashimoto , N. Itzhaki

We present simple explicit formulae for the change of the $g$-function, boundary state, boundary spectrum and structure constants between the endpoints of short boundary RG flows at next-to-leading order. The formulae are derived using open…

High Energy Physics - Theory · Physics 2025-10-09 Jaroslav Scheinpflug , Martin Schnabl , Jakub Vošmera

We sharpen the duality between open and closed topological string partition functions for topological gravity coupled to matter. The closed string partition function is a generalised Kontsevich matrix model in the large dimension limit. We…

High Energy Physics - Theory · Physics 2019-10-02 Sujay K. Ashok , Jan Troost

This paper consists of two parts: (1) Using a Z[1/2]-form of Virasoro vertex operator algebra L(1/2,0) with central charge 1/2, we obtain a modular vertex operator algebra over any field F of finite characteristic different from 2. We…

Quantum Algebra · Mathematics 2021-03-23 Chongying Dong , Ching Hung Lam , Li Ren

A dynamical symmetry, as well as special diffeomorphism algebras generalizing the Witt-Virasoro algebra, related to Poincar\'e-invariance and crucial with regard to quantisation, questions of integrability, and M(atrix) theory, are found to…

High Energy Physics - Theory · Physics 2011-06-27 Jens Hoppe

We construct a four-dimensional conformal amplitude whose four-point structure matches the Virasoro-Shapiro form familiar from string theory. The construction uses only general principles of conformal field theory - radial quantization,…

High Energy Physics - Theory · Physics 2026-01-09 Vaibhav Wasnik

We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms of…

Quantum Algebra · Mathematics 2013-04-24 Donny Hurley , Michael P. Tuite

We show that the three-dimensional asymptotically linear dilaton background that arises in the near-horizon decoupling region of NS5-branes compactified on $T^4$ admits boundary conditions that lead to an infinite set of symmetries. The…

High Energy Physics - Theory · Physics 2024-01-10 Silvia Georgescu , Monica Guica

We show that microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are consequence of regularity of…

High Energy Physics - Theory · Physics 2009-11-10 M. Cvitan , S. Pallua

Conformal boundary conditions in two-dimensional conformal field theories are still mostly an uncharted territory. Even less is known about the relevant boundary deformations that connect them. A natural approach to the problem is via…

High Energy Physics - Theory · Physics 2025-01-20 Jaroslav Scheinpflug , Martin Schnabl

It has previously been proven that $T\bar T$ - deformed CFTs possess Virasoro $\times$ Virasoro symmetry at the full quantum level, whose generators are obtained by simply transporting the original CFT generators along the $T\bar T$ flow.…

High Energy Physics - Theory · Physics 2022-12-29 Monica Guica , Ruben Monten , Ioannis Tsiares

We continue our analysis of open string field theory based on A-infinity-algebras obtained from Witten's theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions…

High Energy Physics - Theory · Physics 2025-03-04 Martin Schnabl , Georg Stettinger

We give field theoretic realizations of both the $q$-Heisenberg and the $q$-Virasoro algebra. In particular, we obtain the operator product expansions among the current and the energy momentum tensor obtained using the Sugawara…

High Energy Physics - Theory · Physics 2009-10-28 C. H. Oh , K. Singh

We consider matrix models exhibiting open-closed string duality in two-dimensional string theories with various amounts of supersymmetry. In particular, a relationship between matrix models in the $\beta = 2$ Wigner-Dyson class and models…

High Energy Physics - Theory · Physics 2024-04-26 Ashton Lowenstein

We discuss the appearance of the GL(1) charged physical operators in the twistor string theory. These operators are shown to be BRST-invariant and non-trivial, and some of their correlators and conformal beta-functions are computed.…

High Energy Physics - Theory · Physics 2009-11-11 Dimitri Polyakov

Recently Kazama and Yokoi (arXiv:0801.1561 [hep-th]) have used a phase-space method to study the Virasoro algebra of type IIB superstring theory in the maximally supersymmetric R-R plane wave background in a semi-light-cone gauge. Two types…

High Energy Physics - Theory · Physics 2008-11-26 Partha Mukhopadhyay