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Related papers: On Vertex Operators in Effective String Theory

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For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA…

Representation Theory · Mathematics 2012-01-18 Robert L. Griess , Chongying Dong

We calculate gauge instanton corrections to a class of higher derivative string effective couplings introduced in [1]. We work in Type I string theory compactified on K3xT2 and realise gauge instantons in terms of D5-branes wrapping the…

High Energy Physics - Theory · Physics 2014-03-05 Ignatios Antoniadis , Ioannis Florakis , Stefan Hohenegger , K. S. Narain , Ahmad Zein Assi

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis and the global, operator theoretic, Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov…

Dynamical Systems · Mathematics 2021-11-30 Erik M. Bollt , Shane D. Ross

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

High Energy Physics - Theory · Physics 2011-07-19 E. Dudas , J. Mourad

We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find…

High Energy Physics - Theory · Physics 2009-11-07 Romuald A. Janik

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary…

High Energy Physics - Theory · Physics 2015-01-26 Miguel S. Costa , Joao Penedones , David Poland , Slava Rychkov

The eikonal operator was originally introduced to describe the effect of tidal excitations on higher-genus elastic string amplitudes at high energy. In this paper we provide a precise interpretation for this operator through the explicit…

High Energy Physics - Theory · Physics 2015-06-17 Giuseppe D'Appollonio , Paolo Di Vecchia , Rodolfo Russo , Gabriele Veneziano

Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invariance. These continuations possess unusual, apparently stringy,…

High Energy Physics - Theory · Physics 2007-05-23 R. C. Myers , V. Periwal

We present a general vertex operator construction based on the Fock space for an affine Lie algebras of type $A$. This construction allows us to give a unified treatment for both the homogeneous and principle realizations of the affine Lie…

Quantum Algebra · Mathematics 2007-05-23 Stephen Berman , Yun Gao , Shaobin Tan

A virtual string can be defined as an equivalence class of planar diagrams under certain kinds of diagrammatic moves. Virtual strings are related to virtual knots in that a simple operation on a virtual knot diagram produces a diagram for a…

Geometric Topology · Mathematics 2009-09-29 Andrew Gibson

Let $M$ be a Riemannian manifold. For $p\in M$, the tensor algebra of the negative part of the (complex) affinization of the tangent space of $M$ at $p$ has a natural structure of a meromorphic open-string vertex algebra. These meromorphic…

Differential Geometry · Mathematics 2026-03-24 Yi-Zhi Huang

We show that the vacuum state functional for both open and closed string field theories can be constructed from the vacuum expectation values it must generate. The method also applies to quantum field theory and as an application we give a…

High Energy Physics - Theory · Physics 2008-11-26 A. Ilderton

We investigate Wilsonian effective field theory as a model for the construction of the tachyon potential and nonperturbative vacua in closed string field theory. In a number of cases we are able to find the effective potential exactly, and…

High Energy Physics - Theory · Physics 2024-02-06 Theodore Erler , Atakan Hilmi Fırat

To study noncommutativity properties of the open string with constant B-field we construct a mechanical action which reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Deriglazov , C. Neves , W. Oliveira , E. M. C. Abreu , C. Wotzasek , C. Filgueiras

A well-known theorem factors a scalar coefficient differential operator given a linearly independent set of functions in its kernel. The goal of this paper is to generalize this useful result to other types of operators. In place of the…

Rings and Algebras · Mathematics 2015-11-26 Alex Kasman

We construct a covariant closed string field theory by extending recent works on the covariant open string field theory in the proper-time gauge. Rewriting the string scattering amplitudes generated by the closed string field theory in…

High Energy Physics - Theory · Physics 2018-02-02 Taejin Lee

We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -- a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level…

High Energy Physics - Theory · Physics 2009-09-15 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

We propose a framework for computing the (light cone) string field theory vertex in the case when the string worldsheet QFT is a generic integrable theory. The prime example and ultimate goal would be the $AdS_5 \times S^5$ superstring…

High Energy Physics - Theory · Physics 2015-06-23 Zoltan Bajnok , Romuald A. Janik

We study the properties of shifted vertex operator algebras, which are vertex algebras derived from a given theory by shifting the conformal vector. In this way, we are able to exhibit large numbers of vertex operator algebras which are…

Quantum Algebra · Mathematics 2007-05-23 Chongying Dong , Geoffrey Mason