Abstract
We revisit the boundary conformal field theory of twist fields. Based on the equivalence between twisted bosons on a circle and the orbifold theory at the critical radius, we provide a bosonized representation of boundary twist fields and thus a free field representation of the latter. One advantage of this formulation is that it considerably simplifies the calculation of correlation functions involving twist fields. At the same time this also gives access to higher order terms in the operator product expansions of the latter which, in turn, allows to explore the moduli space of marginal deformation of bound states of D-branes. In the process we also generalize some results on correlation functions with excited twist fields.
Highlights
Twist fields play an important role in the context of conformal field theory, or more generally, quantum field theory
We provide the explicit form of some useful correlation functions and we discuss possible marginal deformation of bound states of D-branes in bosonic string theory
The key ingredient for this is the operator product expansion (OPE) of twist fields and various correlation functions containing a higher number of twist fields
Summary
Twist fields play an important role in the context of conformal field theory, or more generally, quantum field theory. The role of twist fields is essential when considering open strings stretched between branes of different dimension, in such a way to have different boundary conditions on the two endpoints; scattering amplitudes contain vertex operators built using twist fields [11]. Another important application of twist fields is in the context of entanglement entropy [12, 13]; for example, correlation functions of Zn twist fields are connected to the calculation of the entanglement entropy of an interval. In appendix C and D we review the derivation of known correlation functions involving four twist fields, and we give the explicit results for other correlators
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