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The homology of a 2-colored dioperad of decorated Riemann surfaces, relevant to open-closed string field theory, is computed. The structure it describes is realized in an open-closed setting of string topology via an action at the level of…

代数拓扑 · 数学 2009-09-29 Eric Harrelson

We make a proposal for the string dual to the simplest large $N$ theory, the Gaussian matrix integral in the 'tHooft limit, and how this dual description emerges from double line graphs. This is a specific realisation of the general…

高能物理 - 理论 · 物理学 2011-04-14 Rajesh Gopakumar

I discuss the general formalism of two-dimensional topological field theories defined on open-closed oriented Riemann surfaces, starting from an extension of Segal's geometric axioms. Exploiting the topological sewing constraints allows for…

高能物理 - 理论 · 物理学 2018-06-25 C. I. Lazaroiu

We return to and refine Zwiebach's formulation of closed string field theory (CSFT) built around non-critical backgrounds [1,2], restricting our attention to genus zero. The structure involves a special string state $F$ that encodes the…

高能物理 - 理论 · 物理学 2026-05-22 Amr Ahmadain , Alexander Frenkel , Xi Yin

In this short letter we present a class of remarkably simple solutions to Witten's open string field theory that describe marginal deformations of the underlying boundary conformal field theory. The solutions we consider correspond to…

高能物理 - 理论 · 物理学 2008-11-26 Martin Schnabl

$AdS_3$ string theory in the stringy regime $k=(R_{AdS}/\ell_{str})^2 < 1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for…

高能物理 - 理论 · 物理学 2022-06-22 Emil J. Martinec

We consider certain supersymmetric configurations of intersecting branes and branes ending on branes and analyze the duality between their open and closed string interpretation. The examples we study are chosen such that we have the lower…

高能物理 - 理论 · 物理学 2009-11-07 Andreas Karch , Lisa Randall

We derive a concrete closed string dual to any interacting Hermitian one-matrix model, away from the double-scaling limit. Matrix and string correlators manifestly agree, to all orders in the genus expansion and all orders in the 't Hooft…

高能物理 - 理论 · 物理学 2026-04-06 Alessandro Giacchetto , Rajesh Gopakumar , Edward A. Mazenc

The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator…

数学物理 · 物理学 2007-05-23 David Radnell , Eric Schippers

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between…

高能物理 - 理论 · 物理学 2025-04-17 Ben Mazel , Charles Wang , Xi Yin

The connection between Riemann surfaces with boundaries and the theory of vertex operator algebras is discussed in the framework of conformal field theories defined by Kontsevich and Segal and in the framework of their generalizations in…

量子代数 · 数学 2007-05-23 Yi-Zhi Huang

A minimal area problem imposing different length conditions on open and closed curves is shown to define a one parameter family of covariant open-closed quantum string field theories. These interpolate from a recently proposed factorizable…

高能物理 - 理论 · 物理学 2015-06-26 Barton Zwiebach

It is shown that all possible N sheeted coverings of the cylinder are contained in type IIA matrix string theory as non-trivial gauge field configurations. Using these gauge field configurations as backgrounds the large $N$ limit is shown…

高能物理 - 理论 · 物理学 2010-11-19 Thomas Wynter

In these introductory notes I explain some basic ideas in string field theory. These include: the concept of a string field, the issue of background independence, the reason why minimal area metrics solve the problem of generating all…

高能物理 - 理论 · 物理学 2007-05-23 B. Zwiebach

String backgrounds are described as purely geometric objects related to moduli spaces of Riemann surfaces, in the spirit of Segal's definition of a conformal field theory. Relations with conformal field theory, topological field theory and…

高能物理 - 理论 · 物理学 2008-02-03 Alexander A. Voronov

We use the recently constructed solution for marginal deformations by one of the authors, to analytically relate the BCFT modulus (lambda_BCFT) to the coefficient of the boundary marginal field in the solution (lambda_SFT). We explicitly…

高能物理 - 理论 · 物理学 2015-09-04 Carlo Maccaferri , Martin Schnabl

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to…

高能物理 - 理论 · 物理学 2009-11-10 Rajesh Gopakumar

As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

高能物理 - 理论 · 物理学 2024-06-21 Ashoke Sen , Barton Zwiebach

Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two…

高能物理 - 理论 · 物理学 2009-09-15 Ashoke Sen

We study closed string exchanges in background $B$-field. By analysing the two point one loop amplitude in bosonic string theory, we show that tree-level exchange of lowest lying, tachyonic and massless closed string modes, have IR…

高能物理 - 理论 · 物理学 2009-11-11 S. Sarkar , B. Sathiapalan