Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-15
JHEP 0402:021,2004
Physics
High Energy Physics
High Energy Physics - Theory
72 pages, 3 figures, improved treatment of FZZT and ZZ branes, minor changes
Scientific paper
10.1088/1126-6708/2004/02/021
We study both bosonic and supersymmetric (p,q) minimal models coupled to Liouville theory using the ground ring and the various branes of the theory. From the FZZT brane partition function, there emerges a unified, geometric description of all these theories in terms of an auxiliary Riemann surface M_{p,q} and the corresponding matrix model. In terms of this geometric description, both the FZZT and ZZ branes correspond to line integrals of a certain one-form on M_{p,q}. Moreover, we argue that there are a finite number of distinct (m,n) ZZ branes, and we show that these ZZ branes are located at the singularities of M_{p,q}. Finally, we discuss the possibility that the bosonic and supersymmetric theories with (p,q) odd and relatively prime are identical, as is suggested by the unified treatment of these models.
Seiberg Nathan
Shih David
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