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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…

Algebraic Topology · Mathematics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

Mathematical Physics · Physics 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…

High Energy Physics - Theory · Physics 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…

Quantum Algebra · Mathematics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 2009-11-11 S. Sarkar , B. Sathiapalan