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We study the Schwinger-Dyson equations of a matrix model for an open-closed string theory. The free energy with source terms for scaling operators satisfies the same Virasoro conditions as those of the pure closed string and is obtained…

High Energy Physics - Theory · Physics 2009-10-22 Yukihisa Itoh , Yoshiaki Tanii

We investigate gauge invariant operators corresponding to on-shell closed string states in open string field theory. Using both oscillator representation and conformal mapping techniques, we calculate a two closed string tachyon amplitude…

High Energy Physics - Theory · Physics 2009-11-10 Tomohiko Takahashi , Syoji Zeze

We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity…

High Energy Physics - Theory · Physics 2022-03-03 Achilleas Lazopoulos , Alexander Ochirov , Canxin Shi

The tree-level amplitudes in $\beta$-deformed theory are studied from twistor string theory. We first show that a simple generalization of the proposal in hep-th/0410122 gives the correct results for all of the tree-level amplitudes to the…

High Energy Physics - Theory · Physics 2008-11-26 Peng Gao , Jun-Bao Wu

Method for computing scattering amplitudes of open strings with Dirichlet boundary on one end and Neumann boundary condition on the other is described. Vertex operator for these states are constructed using twist fields which have been…

High Energy Physics - Theory · Physics 2009-10-30 Akikazu Hashimoto

The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its alpha'-expansion into several contributions accounting…

High Energy Physics - Theory · Physics 2015-06-05 O. Schlotterer , S. Stieberger

We clarify some aspects of the map between the c=1 string theory at self-dual radius and the topologically twisted cigar at level one. We map the ZZ and FZZT D-branes in the c=1 string theory at self dual radius to the localized and…

High Energy Physics - Theory · Physics 2010-02-03 Sujay K. Ashok , Sameer Murthy , Jan Troost

We reformulate tree-level amplitudes in open superstring theory (type-I) in terms of stringy Tr$(\phi^3)$ amplitudes with various kinematical shifts in the "curve-integral" formulation: while the bosonic-string amplitude with $n$ pairs of…

High Energy Physics - Theory · Physics 2025-11-05 Qu Cao , Jin Dong , Song He , Fan Zhu

The scattering amplitudes of string theory exhibit many extraordinary properties. But are they the unique mathematical objects to do so? Recently, it has been shown how the spectrum and amplitudes of open string theory follow directly from…

High Energy Physics - Theory · Physics 2025-05-01 Clifford Cheung , Aaron Hillman , Grant N. Remmen

We discuss the relation between open and closed string correlators using topological string theories as a toy model. We propose that one can reconstruct closed string correlators from the open ones by considering the Hochschild cohomology…

High Energy Physics - Theory · Physics 2009-11-10 A. Kapustin , L. Rozansky

In previous work we have shown that large $N$ field theory amplitudes, in Schwinger parametrised form, can be organised into integrals over the stringy moduli space ${\cal M}_{g,n}\times R_{+}^n$. Here we flesh this out into a concrete…

High Energy Physics - Theory · Physics 2009-11-11 Rajesh Gopakumar

We propose a nonperturbative framework for the O(32) type I open and closed string theory. The short distance degrees of freedom are bosonic and fermionic hermitian matrices belonging respectively to the adjoint and fundamental…

High Energy Physics - Theory · Physics 2012-01-25 Shyamoli Chaudhuri

We derive the complete five-gluon scattering amplitude at tree level, within the context of Open Superstring theory. We find the general expression in terms of kinematic factors, and also find its complete expansion up to ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 R. Medina , F. T. Brandt , F. R. Machado

New monodromy relations of loop amplitudes are derived in open string theory. We particularly study N-point one-loop amplitudes described by a world-sheet cylinder (planar and non-planar) and derive a set of relations between subamplitudes…

High Energy Physics - Theory · Physics 2017-10-24 S. Hohenegger , S. Stieberger

We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological…

High Energy Physics - Theory · Physics 2015-06-26 Mina Aganagic , Marcos Marino , Cumrun Vafa

We study topological strings on local toric del Pezzo surfaces by a method called remodeling the B-model which was recently proposed by Bouchard, Klemm, Marino and Pasquetti. For a large class of local toric del Pezzo surfaces we prove a…

High Energy Physics - Theory · Physics 2015-05-13 Masahide Manabe

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at…

High Energy Physics - Theory · Physics 2011-03-02 Clifford Cheung

We provide new methods to straightforwardly obtain compact and analytic expressions for epsilon-expansions of functions appearing in both field and string theory amplitudes. An algebraic method is presented to explicitly solve for…

High Energy Physics - Theory · Physics 2016-01-20 Georg Puhlfuerst , Stephan Stieberger

We apply the method of geometric transition and compute all genus topological closed string amplitudes compactified on local {\bf F}_0 by making use of the Chern-Simons gauge theory. We find an exact agreement of the results of our…

High Energy Physics - Theory · Physics 2009-11-10 Tohru Eguchi , Hiroaki Kanno

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