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We construct off-shell amplitudes in heterotic and type II string theories involving arbitrary combination of Ramond and Neveu-Schwarz sector external states. We also construct the equations of motion of a gauge invariant 1PI effective…

High Energy Physics - Theory · Physics 2015-09-02 Ashoke Sen

The color structure of two-loop gluon amplitudes is examined both from a color trace basis expansion and an alternative based upon structure constants. We use use this as a vehicle for systemising relations between the partial amplitudes of…

High Energy Physics - Phenomenology · Physics 2026-05-04 David C. Dunbar

The Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated to pairs of Lax-Orlov operators. A method for determining the quasiclassical limit of string equations in the…

Exactly Solvable and Integrable Systems · Physics 2009-01-05 L. Martinez Alonso , E. Medina

It is argued that the complete S-matrix of string theory at tree level in a flat background can be obtained from a small set of target space properties, without recourse to the worldsheet description. The main non-standard inputs are…

High Energy Physics - Theory · Physics 2015-06-18 Rutger H. Boels , Tobias Hansen

In this paper we discuss the scattering S-matrix of non-critical N=2 string at tree level. First we consider the \hat{c}<1 string defined by combining the N=2 time-like linear dilaton SCFT with the N=2 Liouville theory. We compute three…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

High Energy Physics - Theory · Physics 2023-11-07 Edward Witten

Superstring amplitudes of an arbitrary genus are calculated through super-Schottky parameters by a summation over the fermion strings. For a calculation of divergent multi-loop fermion string amplitudes a supermodular invariant…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov

We discuss the differences between several partial-wave analysis formalisms used in the construction of three-body decay amplitudes involving fermions. Specifically, we consider the decay Lambda_b -> psi p K- , where the hidden charm…

Methods are described for the nonperturbative calculation of wave functions and scattering amplitudes in light-cone quantization. Form factors are computed from the boost-invariant wave functions, which appear as coefficients in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Hiller

The genus-dependence of multi-loop superstring amplitudes is bounded at large orders in perturbation theory using the super-Schottky group parametrization of supermoduli space. Partial estimates of supermoduli space integrals suggest an…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invariance. These continuations possess unusual, apparently stringy,…

High Energy Physics - Theory · Physics 2007-05-23 R. C. Myers , V. Periwal

We study topological open string amplitudes on orientifolds without fixed planes. We determine the contributions of the untwisted and twisted sectors as well as the BPS structure of the amplitudes. We illustrate our general results in…

High Energy Physics - Theory · Physics 2009-09-29 Vincent Bouchard , Bogdan Florea , Marcos Marino

We study the analytic structure of partial-wave amplitudes derived from u- and t-channel exchange processes. The latter plays a crucial role in dispersion-theory approaches to coupled-channel systems that model final state interactions in…

High Energy Physics - Phenomenology · Physics 2015-07-22 M. F. M. Lutz , E. E. Kolomeitsev , C. L. Korpa

We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$…

High Energy Physics - Theory · Physics 2024-01-19 Chen Huang

A number theoretic algorithm is given for writing gauge theory amplitudes in a compact manner. It is possible to write down all details of the complete $L$ loop amplitude with two integers, or a complex integer. However, a more symmetric…

General Physics · Physics 2007-05-23 Gordon Chalmers

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

Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

Investigations for decay of unstable D-brane and rolling of accelerated D-brane dynamics have revealed that various proposed prescriptions give different result for spectral amplitudes and observables. Here, we study them with particular…

High Energy Physics - Theory · Physics 2009-11-11 Yu Nakayama , Soo-Jong Rey , Yuji Sugawara

Instead of the infinitesimal extrinsic and intrinsic perturbations on strings, considered so far, we discuss the evolution and propagation of finite-amplitude perturbations. Those intrinsic perturbations may result in appearance of stable…

High Energy Physics - Theory · Physics 2007-05-23 G. V. Vlasov

String field theory for the non-critical NSR string is described. In particular it gives string field theory for the 2D super-gravity coupled to a $\hat{c}=1$ matter field. For this purpose double-step pictures changing operators for the…

High Energy Physics - Theory · Physics 2007-05-23 I. Ya. Aref'eva , A. P. Zubarev
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