The twisted open string partition function and Yukawa couplings

Details The twisted open string partition function and Yukawa couplings The twisted open string partition function and Yukawa couplings

2007-01-31

arxiv.org/abs/hep-th/0701292v2

JHEP 0704:030,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 5 figures, Latex; v2: typos corrected

Scientific paper

10.1088/1126-6708/2007/04/030

We use the operator formalism to derive the bosonic contribution to the twisted open string partition function in toroidal compactifications. This amplitude describes, for instance, the planar interaction between g+1 magnetized or intersecting D-branes. We write the result both in the closed and in the open string channel in terms of Prym differentials on the appropriate Riemann surface. Then we focus on the g=2 case for a 2-torus. By factorizing the twisted partition function in the open string channel we obtain an explicit expression for the 3-twist field correlator, which is the main ingredient in the computation of Yukawa couplings in D-brane phenomenological models. This provides an alternative method for computing these couplings that does not rely on the stress-energy tensor technique.

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