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Considering the conformal anomaly in an effective action, the critical dimension of string theory can be decided in the harmonic gauge, in which it had been reported before to be indefinite. In this gauge, there is no anomaly for the ghost…

High Energy Physics - Theory · Physics 2009-10-28 Tomohiko Takahashi

We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly…

High Energy Physics - Theory · Physics 2009-11-18 Michael Kiermaier , Yuji Okawa

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

We develop a calculable analytic approach to marginal deformations in open string field theory using wedge states with operator insertions. For marginal operators with regular operator products, we construct analytic solutions to all orders…

High Energy Physics - Theory · Physics 2008-11-26 Michael Kiermaier , Yuji Okawa , Leonardo Rastelli , Barton Zwiebach

In this paper we continue studying the decay of unstable FZZT branes initiated in [1],[2]. The mass of tachyonic mode in this model can be chosen arbitrarily small and we use it as a perturbative parameter. In [2] a time-dependent boundary…

High Energy Physics - Theory · Physics 2009-12-10 Anatoly Konechny

After defining cohomologically higher order BRST and anti-BRST operators for a compact simple algebra {\cal G}, the associated higher order Laplacians are introduced and the corresponding supersymmetry algebra $\Sigma$ is analysed. These…

High Energy Physics - Theory · Physics 2015-06-26 C. Chryssomalakos , J. A. de Azcarraga , A. J. Macfarlane , J. C. Perez Bueno

We introduce the ghost algebra, a two-boundary generalisation of the Temperley-Lieb (TL) algebra, using a diagrammatic presentation. The existing two-boundary TL algebra has a basis of string diagrams with two boundaries, and the number of…

Mathematical Physics · Physics 2024-02-22 Madeline Nurcombe

Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory.…

High Energy Physics - Theory · Physics 2023-12-14 Atakan Hilmi Fırat

Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure spinor and $d_\alpha$ are the fermionic Green-Schwarz constraints. By performing a field…

High Energy Physics - Theory · Physics 2009-11-07 Nathan Berkovits

We identify classical string solutions which directly give the classical part of the strong coupling pomeron intercept. The relevant solution is a close cousin of the GKP folded string, which is not surprising given the known relation with…

High Energy Physics - Theory · Physics 2015-06-17 Romuald A. Janik , Pawel Laskos-Grabowski

Expressions for the general and complete perturbations in terms of Debye potentials of static charged black holes in string theory, valid for curvature below the Planck scale, are derived starting from a decoupled set of equations and using…

Mathematical Physics · Physics 2015-06-26 R. Cartas-Fuentevilla

Schnabl recently found an analytic expression for the string field tachyon condensate using a gauge condition adapted to the conformal frame of the sliver projector. We propose that this construction is more general. The sliver is an…

High Energy Physics - Theory · Physics 2014-11-18 Leonardo Rastelli , Barton Zwiebach

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless…

High Energy Physics - Theory · Physics 2015-06-25 Nathan Berkovits

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

We study a conformal field theory with cubic anisotropic symmetry in presence of a line defect. We compute the correlators of the low lying defect operators using Feynman diagrams and derive explicit expressions for the two, three and four…

High Energy Physics - Theory · Physics 2024-09-24 Parijat Dey , Kausik Ghosh

Applying the Thomas-Fermi approximation to renormalizable field theories, we construct ghost condensation models that are free of the instabilities associated with violations of the null-energy condition.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neven Bilić , Gary B. Tupper , Raoul D. Viollier

We revisit the identity-based solutions for tachyon condensation in open bosonic string field theory (SFT) from the viewpoint of the sine-square deformation (SSD). The string Hamiltonian derived from the simplest solution includes the…

High Energy Physics - Theory · Physics 2019-10-11 Isao Kishimoto , Tomomi Kitade , Tomohiko Takahashi

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

A ghost D-brane has been proposed as an object that cancels the effects of a D-branes. We construct a classical solution with an arbitrary number of D-branes and ghost D-branes in the context of open string field theory. Cancellation of…

High Energy Physics - Theory · Physics 2017-12-07 Syoji Zeze

In this paper, we present a convergence rate analysis for the inexact Krasnosel'skii-Mann iteration built from nonexpansive operators. Our results include two main parts: we first establish global pointwise and ergodic iteration-complexity…

Optimization and Control · Mathematics 2015-09-17 Jingwei Liang , Jalal Fadili , Gabriel Peyré
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