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We calculate the chiral string amplitude in pure spinor formalism and take four point amplitude as an example. The method could be easily generalized to $N$ point amplitude by complicated calculations. By doing the usual calculations of…

High Energy Physics - Theory · Physics 2017-02-24 Yuqi Li , Warren Siegel

We analyse the perturbative four-point amplitudes in the simplest string theory examples of T-fold backgrounds, which enjoy N=6 supersymmetries in four dimensions. There are two theories defined as asymmetric orbifolds of order 2 and 3,…

High Energy Physics - Theory · Physics 2022-07-06 Massimo Bianchi , Guillaume Bossard , Dario Consoli

In these lectures we give a brief introduction to perturbative and non-perturbative string theory. The outline is the following: 1. Introduction to perturbative string theory 1.1 From point particle to extended objects 1.2 Free closed and…

High Energy Physics - Theory · Physics 2016-09-06 Ignatios Antoniadis , Guillaume Ovarlez

We investigate the rings of semi-invariants for tame string algebras A(n) of non-polynomial growth. We are interested in dimension vectors of band modules. We use geometric technique related to the description of coordinate rings on…

Representation Theory · Mathematics 2011-03-29 Witold Kraśkiewicz , Jerzy Weyman

In this article we present a method to generate analytic expressions for the integral coefficients of loop amplitudes using numerical evaluations only. We use high-precision arithmetic to explore the singularity structure of the…

High Energy Physics - Phenomenology · Physics 2023-10-09 Giuseppe De Laurentis , Daniel Maître

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder…

High Energy Physics - Theory · Physics 2010-11-26 Jaume Gomis , Matthew Kleban , Thomas Mehen , Mukund Rangamani , Stephen Shenker

We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins.…

High Energy Physics - Theory · Physics 2023-08-08 Clifford Cheung , Grant N. Remmen

Based on the recent developments of explicit computations at 2 loops in superstring theory in the covariant RNS formalism, we propose an explicit formula for the arbitrary loop 4-particle amplitude in superstring theory. We prove that this…

High Energy Physics - Theory · Physics 2007-05-23 Chuan-Jie Zhu

The purpose of this note is to provide a short invitation to the universal algebraic approach to topological string theory. In the first section we make an attempt to explain the origin of this approach and how it fits into the bigger…

High Energy Physics - Theory · Physics 2013-03-07 Nils Carqueville , Michael M. Kay

We develop a robust method to extract the pole configuration of a given partial-wave amplitude. In our approach, a deep neural network is constructed where the statistical errors of the experimental data are taken into account. The teaching…

High Energy Physics - Phenomenology · Physics 2021-08-09 Denny Lane B. Sombillo , Yoichi Ikeda , Toru Sato , Atsushi Hosaka

In this paper, we explicitly construct string theory backgrounds that realise the so-called $\mathcal N=2^\star$ gauge theory. We prove the consistency of our models by calculating their partition function and obtaining the correct gauge…

High Energy Physics - Theory · Physics 2016-06-29 Ioannis Florakis , Ahmad Zein Assi

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

Statistical Mechanics · Physics 2009-11-07 E. Korutcheva , V. Del Prete

The spin-4/3 fractional superstring is characterized by a chiral algebra involving a spin-4/3 current on the world-sheet in addition to the energy-momentum tensor. These currents generate physical state conditions on the fractional…

High Energy Physics - Theory · Physics 2007-05-23 Philip Argyres

Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed…

High Energy Physics - Theory · Physics 2011-06-15 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

High Energy Physics - Theory · Physics 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

This is the first of a series of detailed papers on string amplitudes with highly excited strings (HES). In the present paper we construct a generating function for string amplitudes with generic HES vertex operators using a fixed-loop…

High Energy Physics - Theory · Physics 2017-03-08 Dimitri P. Skliros , Edmund J. Copeland , Paul M. Saffin

We calculate couplings of arbitrary order from correlation functions among twisted strings, using conformal field theory. Twisted strings arise in heterotic string compactified on orbifolds yielding matter fields in the low energy limit. We…

High Energy Physics - Theory · Physics 2008-11-26 Kang-Sin Choi , Tatsuo Kobayashi

We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

High Energy Physics - Lattice · Physics 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

We compute correlation functions in $N=2$ non critical superstrings on the sphere. Our calculations are restrained to the ($s=0$) bulk amplitudes. We show that the four point function factorizes as a consequence of the non-critical…

High Energy Physics - Theory · Physics 2009-10-22 E. Abdalla , M. C. B. Abdalla , D. Dalmazi

Certain scattering amplitudes in the gravitational sector of type II string theory on K3 x T^2 are found to be computed by correlation functions of the N=4 topological string. This analysis extends the already known results for K3 by…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger , K. S. Narain
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