Note on a duality of topological branes

Abstract

We show a duality of branes in the topological B-model by inserting two kinds of the non-compact branes simultaneously. We explicitly derive the integral formula for the matrix model partition function describing this situation, which correspondingly includes both of the characteristic polynomial and the external source. We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions.

1+18 pages, 2 figures; title changed, references added; minor corrections

References in corpus (3)

• Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants
• Vertices from replica in a random matrix theory
• About the x-y symmetry of the F_g algebraic invariants

Cited by in corpus (5)

• On characteristic polynomials for a generalized chiral random matrix ensemble with a source
• Diffusion method in Random Matrix Theory
• Towards U(N|M) knot invariant from ABJM theory
• Duality and integrability of supermatrix model with external source
• The Schur Expansion of Characteristic Polynomials and Random Matrices