The perspective of Kac-Schwarz operators is introduced to the authors'
previous work on the quantum mirror curves of topological string theory in
strip geometry and closed topological vertex. Open string amplitudes on each
leg of the web diagram o...
The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory therein ca...
This paper addresses the issue of integrable structure in topological string
theory on generalized conifolds. Open string amplitudes of this theory can be
expressed as the matrix elements of an operator on the Fock space of 2D charged
This paper addresses the issue of integrable structure in a modified melting
crystal model of topological string theory on the resolved conifold. The
partition function can be expressed as the vacuum expectation value of an
operator on the Fock sp...
J. Phys.: Conf. Ser. 482 (2014) 012041 2013年12月 [依頼有り]
This is a review of recent results on the integrable structure of the
ordinary and modified melting crystal models. When deformed by special external
potentials, the partition function of the ordinary melting crystal model is
known to become essen...
The notion of topological vertex and the construction of topological string
partition functions on local toric Calabi-Yau 3-folds are reviewed.
Implications of an explicit formula of partition functions for the generalized
conifolds are considered...
poster presentation at conference "Integrability in Gauge and String Theory" (Zurich, August 20-24, 2012) 2012年8月
Our previous work on a hidden integrable structure of the melting crystal
model (the U(1) Nekrasov function) is extended to a modified crystal model. As
in the previous case, "shift symmetries" of a quantum torus algebra plays a
central role. With...
The melting crystal model is a statistical model of 3D Young diagrams. Its partition function can be identified with the instanton partition function of 5D N = 1 supersymmetric U(1) Yang-Mills theory on R^4 × S^1. Its deformation by a set of exte...
The melting crystal models are statistical models of
random partitions that stems from the instanton sum of
a 5D supersymmetric gauge theory. The topological vertex
is a diagrammatic method for constructing the partition functions
KIAS Workshop on integrable systems and related topics 2016年6月21日 Jinsung Park (KIAS)
The melting crystal models are statistical models of random partitions that stems from the instanton sum of a 5D supersymmetric gauge theory. The topological vertex is a diagrammatic method for constructing the partition functions, or amplitudes, ...