Green functions and twist correlators for $N$ branes at angles

Abstract

We compute the Green functions and correlator functions for N twist fields for branes at angles on T^2 and we show that there are N-2 different configurations labeled by an integer M which is roughly associated with the number of obtuse angles of the configuration. In order to perform this computation we use a SL(2,R) invariant formulation and geometric constraints instead of Pochammer contours. In particular the M=1 or M=N-1 amplitude can be expressed without using transcendental functions. We determine the amplitudes normalization from N -> N-1 reduction without using the factorization into the untwisted sector. Both the amplitudes normalization and the OPE of two twist fields are unique (up to one constant) when the ε<-> 1-εsymmetry is imposed. For consistency we find also an infinite number of relations among Lauricella hypergeometric functions.

40 pages, 13 figures; V2 published version with misprints and a minor error corrected

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• Revisiting light stringy states in view of the 750 GeV diphoton excess
• Canonical quantization of a string describing $N$ branes at angles
• ${\mathbb{Z}}_2$ boundary twist fields and the moduli space of D-branes
• Light cone quantization and interactions of a new closed bosonic string inspired to D1 string
• Yukawa's of light stringy states
• Production of light stringy states
• Towards a fully stringy computation of Yukawa couplings on non factorized tori and non abelian twist correlators (I): the classical solution and action
• The Classical Solution for the Bosonic String in the Presence of Three D-branes Rotated by Arbitrary SO(4) Elements
• On the gauge chosen by the bosonic open string
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• Yukawa couplings for intersecting D-branes on non-factorisable tori
• 2D Fermion on the Strip with Boundary Defects as a CFT with Excited Spin Fields