Free boson formulation of boundary states in W_3 minimal models and the critical Potts model
ArXiv hep-th/0306082 (2003)
Abstract:
We develop a Coulomb gas formalism for boundary conformal field theory having a $W$ symmetry and illustrate its operation using the three state Potts model. We find that there are free-field representations for six $W$ conserving boundary states, which yield the fixed and mixed physical boundary conditions, and two $W$ violating boundary states which yield the free and new boundary conditions. Other $W$ violating boundary states can be constructed but they decouple from the rest of the theory. Thus we have a complete free-field realization of the known boundary states of the three state Potts model. We then use the formalism to calculate boundary correlation functions in various cases. We find that the conformal blocks arising when the two point function of $\phi_{2,3}$ is calculated in the presence of free and new boundary conditions are indeed the last two solutions of the sixth order differential equation generated by the singular vector.Rotational Symmetry Breaking in Multi-Matrix Models
ArXiv hep-th/0206226 (2002)
Abstract:
We consider a class of multi-matrix models with an action which is O(D) invariant, where D is the number of NxN Hermitian matrices X_\mu, \mu=1,...,D. The action is a function of all the elementary symmetric functions of the matrix $T_{\mu\nu}=Tr(X_\mu X_\nu)/N$. We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.Modular Transformation and Boundary States in Logarithmic Conformal Field Theory
Physics Letters B 508 (2001) 203-210
Convergent Yang-Mills Matrix Theories
Journal of High Energy Physics (2001)
The Convergence of Yang-Mills Integrals
Journal of High Energy Physics (2001)