New twist field couplings from the partition function for multiply wrapped D-branes

Abstract

We consider toroidal compactifications of bosonic string theory with particular regard to the phases (cocycles) necessary for a consistent definition of the vertex operators, the boundary states and the T-duality rules. We use these ingredients to compute the planar multi-loop partition function describing the interaction among magnetized or intersecting D-branes, also in presence of open string moduli. It turns out that unitarity in the open string channel crucially depends on the presence of the cocycles. We then focus on the 2-loop case and study the degeneration limit where this partition function is directly related to the tree-level 3-point correlators between twist fields. These correlators represent the main ingredient in the computation of Yukawa couplings and other terms in the effective action for D-brane phenomenological models. By factorizing the 2-loop partition function we are able to compute the 3-point couplings for abelian twist fields on generic non-factorized tori, thus generalizing previous expressions valid for the 2-torus.

36 pages, 1 figure; v2: typos corrected, proof in the Appendix improved

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• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Fermion Wavefunctions in Magnetized branes: Theta identities and Yukawa couplings
• Magnetic flux, Wilson line and orbifold
• Mirror Mediation
• Open string wavefunctions in flux compactifications
• The supergravity fields for a D-brane with a travelling wave from string amplitudes
• Green functions and twist correlators for $N$ branes at angles
• Wrapped Magnetized Branes: Two Alternative Descriptions?
• Correlators of arbitrary untwisted operators and excited twist operators for N branes at angles
• High energy string-brane scattering for massive states
• A comment on discrete Kalb-Ramond field on orientifold and rank reduction
• The generating function of amplitudes with N twisted and M untwisted states
• Open and Closed String Vertices for branes with magnetic field and T-duality
• More About Branes on a General Magnetized Torus
• Canonical quantization of a string describing $N$ branes at angles
• Towards a fully stringy computation of Yukawa couplings on non factorized tori and non abelian twist correlators (I): the classical solution and action
• Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach
• Non-Factorizable Branes on the Torus
• Genus two partition functions of chiral conformal field theories
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• The Classical Solution for the Bosonic String in the Presence of Three D-branes Rotated by Arbitrary SO(4) Elements
• Yukawa couplings for intersecting D-branes on non-factorisable tori
• Magnetized Branes and the Six-Torus