scholarly journals Two dialects for KZB equations: generating one-loop open-string integrals

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Johannes Broedel ◽  
André Kaderli ◽  
Oliver Schlotterer
Keyword(s):  
Differential Equations ◽  
Elliptic System ◽  
Configuration Space ◽  
Marked Point ◽  
Open String ◽  
Low Energy ◽  
Compatibility Conditions ◽  
Punctured Torus ◽  
String Amplitudes ◽  
Genus One

Abstract Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1–3]. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik-Zamolodchikov-Bernard(KZB) type on the twice-punctured torus.We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.

scholarly journals On genus-one string amplitudes on AdS5 × S5

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Luis F. Alday
Keyword(s):  
Stress Tensor ◽  
Simple Structure ◽  
Strong Coupling Expansion ◽  
Flat Space ◽  
Low Energy ◽  
Yang Mills ◽  
Space Limit ◽  
Type Iib String Theory ◽  
String Amplitudes ◽  
Genus One

Abstract We study non-planar correlators in $$ \mathcal{N} $$ N = 4 super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order 1/N4 and in a strong coupling expansion. This can be regarded as the genus-one four-point graviton amplitude of type IIB string theory on AdS5× S5 in a low energy expansion. Both the loop supergravity result as well as the tower of stringy corrections have a remarkable simple structure in Mellin space, making manifest important properties such as the correct flat space limit and the structure of UV divergences.

scholarly journals KLT factorization of winding string amplitudes

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Jaume Gomis ◽  
Ziqi Yan ◽  
Matthew Yu
Keyword(s):  
Scattering Amplitudes ◽  
Open String ◽  
Closed String ◽  
Open Strings ◽  
Toroidal Compactifications ◽  
Quantum Numbers ◽  
String Amplitudes

Abstract We uncover a Kawai-Lewellen-Tye (KLT)-type factorization of closed string amplitudes into open string amplitudes for closed string states carrying winding and momentum in toroidal compactifications. The winding and momentum closed string quantum numbers map respectively to the integer and fractional winding quantum numbers of open strings ending on a D-brane array localized in the compactified directions. The closed string amplitudes factorize into products of open string scattering amplitudes with the open strings ending on a D-brane configuration determined by closed string data.

scholarly journals NONCOMMUTATIVE OPEN STRING THEORIES AND THEIR DUALITIES

2001 ◽  
Vol 16 (04n06) ◽  
pp. 349-359 ◽  
Author(s):  
M. M. SHEIKH-JABBARI
Keyword(s):  
Open String ◽  
Low Energy ◽  
Duality Group ◽  
Critical Limit ◽  
Quantum Theories ◽  
Open Strings ◽  
Energy Theory ◽  
String Theories

The recently found noncritical open string theories is reviewed. These open strings, noncommutative open string theories (NCOS), arise as consistent quantum theories describing the low energy theory of D-branes in a background electric B-field in the critical limit. Focusing on the D3-brane case, we construct the most general (3+1) NCOS, which is described by four parameters. We study S- and T-dualities of these theories and argue the existence of a U-duality group.

scholarly journals Topological Open String Amplitudes On Orientifolds

2005 ◽  
Vol 2005 (02) ◽  
pp. 002-002 ◽  
Author(s):  
Vincent Bouchard ◽  
Bogdan Florea ◽  
Marcos Marino
Keyword(s):  
Open String ◽  
String Amplitudes
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