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We revisit the existence, background independence and uniqueness of closed, open and open-closed bosonic- and topological string field theory, using the machinery of homotopy algebra. In a theory of classical open- and closed strings, the…

Quantum Algebra · Mathematics 2013-09-12 Korbinian Muenster , Ivo Sachs

We prove the decomposition theorem for the loop homotopy algebra of quantum closed string field theory and use it to show that closed string field theory is unique up to gauge transformations on a given string background and given S-matrix.…

High Energy Physics - Theory · Physics 2012-08-29 Korbinian Muenster , Ivo Sachs

We show that closed string states in bosonic string field theory are encoded in the cyclic cohomology of cubic open string field theory (OSFT) which, in turn, classifies the deformations of OSFT. This cohomology is then shown to be…

High Energy Physics - Theory · Physics 2011-07-21 Nicolas Moeller , Ivo Sachs

We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number $N$ of identical D-branes of the starting background is large. By reformulating the theory in terms of the 't Hooft coupling…

High Energy Physics - Theory · Physics 2023-09-21 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera

The string field theory for unoriented open-closed string mixed system is constructed up to quadratic order based on the joining-splitting type vertices. The gauge invariance with closed string transformation parameter is proved. The…

High Energy Physics - Theory · Physics 2009-10-30 Taichiro Kugo , Tomohiko Takahashi

The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the…

High Energy Physics - Theory · Physics 2009-10-30 Matthias R. Gaberdiel , Barton Zwiebach

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

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

In the context of the bosonic closed string theory, by using the operatorial formalism, we give a simple expression of the off-shell amplitude with an arbitrary number of external massless states inserted on the Klein bottle.

High Energy Physics - Theory · Physics 2009-10-31 L. Cappiello , R. Marotta , R. Pettorino , F. Pezzella

We apply stochastic quantization method to real symmetric matrix-vector models for the second quantization of non-orientable strings, including both open and closed strings. The Fokker-Planck hamiltonian deduces a well-defined…

High Energy Physics - Theory · Physics 2009-10-30 Naohito Nakazawa , Daiji Ennyu

In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the…

High Energy Physics - Theory · Physics 2021-01-22 Pierre Vanhove , Federico Zerbini

We discuss general properties of $A_\infty$-algebras and their applications to the theory of open strings. The properties of cyclicity for $A_\infty$-algebras are examined in detail. We prove the decomposition theorem, which is a stronger…

Quantum Algebra · Mathematics 2010-11-11 Hiroshige Kajiura

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

A non-supersymmetric ten-dimensional open string theory is constructed as an orbifold of type I string theory, and as an orientifold of the bosonic type B theory. It is purely bosonic, and cancellation of massless tadpoles requires the…

High Energy Physics - Theory · Physics 2014-11-18 Oren Bergman , Matthias R. Gaberdiel

We give a simple prescription for computing, in the framework of the bosonic string theory, off-shell one-loop amplitudes with any number of external massless particles, both for the open and for the closed string. We discuss their…

High Energy Physics - Theory · Physics 2009-10-31 L. Cappiello , R. Marotta , R. Pettorino , F. Pezzella

We reformulate the algebraic structure of Zwiebach's quantum open-closed string field theory in terms of homotopy algebras. We call it the quantum open-closed homotopy algebra (QOCHA) which is the generalization of the open-closed homotopy…

High Energy Physics - Theory · Physics 2015-05-30 Korbinian Muenster , Ivo Sachs

We apply stochastic quantization method to Kostov's matrix-vector models for the second quantization of orientable strings with Chan-Paton like factors, including both open and closed strings. The Fokker-Planck hamiltonian deduces an…

High Energy Physics - Theory · Physics 2009-10-31 Daiji Ennyu , Hiroshi Kawabe , Naohito Nakazawa

In this paper, we study open-closed string field theory in the background B-field in the so-called alpha=p^{+} formulation. The string field theory in the infrared gives noncommutative gauge theory in the open string sector. Since this…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Tomohiko Takahashi

A target space string field theory formulation for open and closed B-model is provided by giving a Batalin-Vilkovisky quantization of the holomorphic Chern-Simons theory with off-shell gravity background. The target space expression for the…

High Energy Physics - Theory · Physics 2014-11-20 Giulio Bonelli , Andrea Prudenziati , Alessandro Tanzini

We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a…

High Energy Physics - Theory · Physics 2014-11-18 Ian Ellwood , Jessie Shelton , Washington Taylor
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