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A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

We generalise structure tree theory, which is based on removing finitely many edges, to removing finitely many vertices. This gives a significant generalization of Tutte's tree decomposition of 2-connected graphs into 3-connected blocks.…

Group Theory · Mathematics 2015-01-05 M. J. Dunwoody , B. Krön

We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our…

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

We show that for open gauge theories, it is possible to build an off-shell Becchi-Rouet-Stora-Tyutin (BRST) algebra together with an invariant extension of the classical action. This is based on the introduction of auxiliary fields, after…

High Energy Physics - Theory · Physics 2015-06-17 N. Djeghloul , A. Meziane , M. Tahiri

This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to…

High Energy Physics - Theory · Physics 2015-06-26 Stefan Forste

This talk begins with some history and basic facts about string theory and its connections with strong interactions. Comparisons of stacks of Dirichlet branes with curved backgrounds produced by them are used to motivate the AdS/CFT…

High Energy Physics - Phenomenology · Physics 2009-05-01 Igor R. Klebanov

We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of $A_\infty$ or $L_\infty$ type. We construct…

High Energy Physics - Theory · Physics 2020-12-30 Harold Erbin , Carlo Maccaferri , Martin Schnabl , Jakub Vošmera

We give a brief summary of algebraic aspects of string theory arising in the noncommutative geometry setting of foliations called string diagrammatics which we introduced jointly with Bob Penner. We furthermore discuss how this gives rise…

High Energy Physics - Theory · Physics 2008-11-26 Ralph Kaufmann

We apply the techniques of the ``universal string theory'' to the ``manifold'' paradigm for superstring/M-theory and come up with a candidate manifold: the manifold of F-theory vacua, defined in conformal field theoretical terms. It…

High Energy Physics - Theory · Physics 2007-05-23 JM Figueroa-O'Farrill

In this paper, we pursue the discussion of the connections between rational conformal field theories (CFT) and graphs. We generalize our recent work on the relations of operator product algebra (OPA) structure constants of $sl(2)\,$…

High Energy Physics - Theory · Physics 2009-10-28 V. B. Petkova , J. -B. Zuber

The goal of these lectures is to present an informal but precise introduction to a body of concepts and methods of interest in number theory and string theory revolving around modular forms and their generalizations. Modular invariance lies…

High Energy Physics - Theory · Physics 2022-11-21 Eric D'Hoker , Justin Kaidi

We provide a string theory embedding for N = 1 superconformal field theories defined by bipartite graphs inscribed on a disk. We realize these theories by exploiting the close connection with related N = 2 generalized (A_(k-1), A_(n-1))…

High Energy Physics - Theory · Physics 2013-05-31 Jonathan J. Heckman , Cumrun Vafa , Dan Xie , Masahito Yamazaki

String theory on D-brane backgrounds is open-closed string theory. Given the relevance of this fact, we give details and elaborate upon our earlier construction of oriented open-closed string field theory. In order to incorporate explicitly…

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

Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given A-infinity-algebra and apply this result to the case of N=2…

High Energy Physics - Theory · Physics 2009-07-22 Nils Carqueville

The search for analytic solutions in open string fields theory \`a la Witten often meets with singular expressions, which need an adequate mathematical formalism to be interpreted. In this paper we discuss this problem and propose a way to…

High Energy Physics - Theory · Physics 2015-06-15 Loriano Bonora , Stefano Giaccari

We study cocycle properties of vertex operators and present an operator representation of cocycle operators, which are attached to vertex operators to ensure the duality of amplitudes. It is shown that this analysis makes it possible to…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Horiguchi , Makoto Sakamoto , Masayoshi Tabuse

Motivated by recent progress in calculating field theory amplitudes, we study applications of the basic ideas in these developments to the calculation of amplitudes in string theory. We consider in particular both non-Abelian and Abelian…

High Energy Physics - Theory · Physics 2010-05-28 Rutger Boels , Kasper J. Larsen , Niels A. Obers , Marcel Vonk

Despite the lack of experimental confirmation and of unambiguous theoretical proof, superstring theory has long been considered by many the only consistent quantized theory of gravity and the unique viable framework for the unification of…

History and Philosophy of Physics · Physics 2009-05-20 Oswaldo Zapata

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

We analyze systems where an effective large-N expansion arises naturally in gauge theories without a large number of colors: a sufficiently large charge density alone can produce a perturbative string ('tHooft) expansion. One example is…

High Energy Physics - Theory · Physics 2015-06-04 Joseph Polchinski , Eva Silverstein