The twisted open string partition function and Yukawa couplings

Abstract

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.

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

References in corpus (29)

• Target Space Duality in String Theory
• Branes Intersecting at Angles
• Noncommutative Open String and D-brane
• D-brane dynamics
• Computing Yukawa Couplings from Magnetized Extra Dimensions
• Yukawa couplings in intersecting D-brane models
• Scattering of Gauge, Matter, and Moduli Fields from Intersecting Branes
• Pair Creation of Open Strings in an Electric Field
• Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds
• On the Bound States of p- and (p+2)-Branes
• Interactions in Intersecting Brane Models
• Brane world effective actions for D-branes with fluxes
• N-point Amplitudes in Intersecting Brane Models
• Scattering of closed strings from many D-branes
• Higher Twisted Sector Couplings of $Z_N$ Orbifolds
• Boundary states for moving D-branes
• On Vanishing Two Loop Cosmological Constants in Nonsupersymmetric Strings
• Open string topological amplitudes and gaugino masses
• Yukawa Couplings for Bosonic $Z_N$ Orbifolds: Their Moduli and Twisted Sector Dependence
• Two-loop scalar diagrams from string theory
• Multiloop String Amplitudes with B-Field and Noncommutative QFT
• Moduli and Twisted Sector Dependence of Z_N x Z_M Orbifold Couplings
• Evidence for Nonvanishing Cosmological Constant in NonSusy Superstring Models
• Scalar field theory limits of bosonic string amplitudes
• Two-loop Euler-Heisenberg effective actions from charged open strings
• Noncommutative Field Theory from String Theory: Two-loop Analysis
• Twisted determinants on higher genus Riemann surfaces
• Twisted determinants and bosonic open strings in an electromagnetic field
• Stretched strings and worldsheets with a handle

Cited by in corpus (18)

• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Three generation magnetized orbifold models
• Higher Order Couplings in Magnetized Brane Models
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• Fermion Wavefunctions in Magnetized branes: Theta identities and Yukawa couplings
• Magnetic flux, Wilson line and orbifold
• Mirror Mediation
• New twist field couplings from the partition function for multiply wrapped D-branes
• Green functions and twist correlators for $N$ branes at angles
• Multi-loop open string amplitudes and their field theory limit
• Wrapped Magnetized Branes: Two Alternative Descriptions?
• Correlators of arbitrary untwisted operators and excited twist operators for N branes at angles
• Two-Point Functions of Chiral Fields at One Loop in Type II
• Supersymmetric SU(5) GUT with Stabilized Moduli
• More About Branes on a General Magnetized Torus
• Canonical quantization of a string describing $N$ branes at angles
• The holomorphic anomaly for open string moduli
• Yukawa couplings from magnetized D-brane models on non-factorisable tori