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It is shown that the finite size corrections to the spectrum of the giant magnon solution of classical string theory, computed using the uniform light-cone gauge, are gauge invariant and have physical meaning. This is seen in two ways: from…

High Energy Physics - Theory · Physics 2008-11-26 Davide Astolfi , Valentina Forini , Gianluca Grignani , Gordon W. Semenoff

We explore vacuum structure in bosonic open string field theory expanded around an identity based solution parameterized by $a$ (>= -1/2). Analyzing the expanded theory by using level truncation approximation up to level 14, we find that…

High Energy Physics - Theory · Physics 2009-11-19 Isao Kishimoto , Tomohiko Takahashi

Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of…

Symbolic Computation · Computer Science 2024-12-19 Irina A. Kogan

By direct calculation we showed that a finite analytic solution for marginal deformation of open string field theory, by a matter primary operator with singular OPE, can be obtained to all orders in the deformation parameter. In particular,…

High Energy Physics - Theory · Physics 2018-02-14 Bum-Hoon Lee , Chanyong Park , D. D. Tolla

An open bosonic string is considered with the aim to construct a general gauge invariant, being a polynomial of Fubini-Veneziano (FV) fields. The FV fields are transformed as 1-forms on $S^1$, that allows to formulate the problem in…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Dolgushev

We consider perturbative quantum field theory in the causal framework. Gauge invariance is, in this framework, an identity involving chronological products of the interaction Lagrangian; it express the fact that the scattering matrix must…

High Energy Physics - Theory · Physics 2017-09-13 Dan-Radu Grigore

In this paper we give a general family of conformal invariants associated to bordered Riemann surfaces endowed with boundary parametrizations, or equivalently compact surfaces endowed with conformal maps. Each invariant is specified by a…

Differential Geometry · Mathematics 2026-05-13 Eric Schippers , Wolfgang Staubach

We show how Boundary Conformal Field Theory deformation techniques allow for a complete characterisation of the coupling between the discrete geometry inherited uniformizing a random Regge triangulations and open string theory.

High Energy Physics - Theory · Physics 2007-05-23 Mauro Carfora , Claudio Dappiaggi , Valeria L. Gili

We show how gauge-invariant cosmological perturbations may be constructed by an unambiguous choice of hypersurface-orthogonal time-like vector field (i.e., time-slicing). This may be defined either in terms of the metric quantities such as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Karim A. Malik , David Wands

We consider possible superfield representations of extended BRST symmetry for general gauge theories within the principle of gauge-fixing based on a generating equation for the gauge functional. We examine admissible superfield choices for…

High Energy Physics - Theory · Physics 2009-11-07 P. M. Lavrov , P. Yu. Moshin

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the…

High Energy Physics - Theory · Physics 2015-08-06 B. Sathiapalan

We investigate gauge invariant cosmological perturbations in a spatially flat Friedman-Robertson-Walker universe with scalar fields. It is well known that the evolution equation for the gauge invariant quantities has exact solutions in the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasusada Nambu , Atsushi Taruya

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

By applying properly the concept of twist symmetry to the gauge invariant theories, we arrive at the conclusion that previously proposed in the literature noncommutative gauge theories, with the use of $\star$-product, are the correct ones,…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , A. Tureanu

A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of G. If the nonlinearly realized symmetry is gauged, then the BRST charge can be related by a similarity transformation to the…

High Energy Physics - Theory · Physics 2009-10-28 I. N. McArthur

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

High Energy Physics - Theory · Physics 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

We study images of equilibrium (Gibbs) states for a class of non-invertible transformations associated to conformal iterated function systems with overlaps $\mathcal S$. We prove exact dimensionality for these image measures, and find a…

Dynamical Systems · Mathematics 2021-07-12 Eugen Mihailescu

Dilogarithm identities for the central charges and conformal dimensions exist for at least large classes of rational conformally invariant quantum field theories in two dimensions. In many cases, proofs are not yet known but the numerical…

High Energy Physics - Theory · Physics 2009-10-22 W. Nahm , A. Recknagel , M. Terhoeven

We derive exact inversion identities satisfied by the transfer matrix of inhomogeneous interaction-round-a-face (IRF) models with arbitrary boundary conditions using the underlying integrable structure and crossing properties of the local…

Statistical Mechanics · Physics 2014-09-23 Holger Frahm , Nikos Karaiskos

We consider a general gauge theory with independent generators and study the problem of gauge-invariant deformation of initial gauge-invariant classical action. The problem is formulated in terms of BV-formalism and is reduced to describing…

High Energy Physics - Theory · Physics 2021-06-18 I. L. Buchbinder , P. M. Lavrov
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