Matrix models and eigenfunctions from the Topological String/Spectral Theory correspondence

In section 2, after recalling the basic notions of structure, graph and topological equivalence, we present the pro- posed method, how to build an adjacency matrix associated with

A very common consequence of this, which we shall analyse and generalise in section I.3 , is the fact that string theories see no difference between a circle of radius R and another

Roughly speaking, F-theory can be regarded as an auxiliary twelve-dimensional theory that when compactified on an elliptically fibered Calabi-Yau manifold leads to Type IIB

has given a rigorous treatment, based on Witten's Morse theory ideas, for the case when the boundary conditions are not periodic but instead require the initial and end-points of

For example, Donaldson-Thomas invariants that we mentioned earlier and that originally were introduced via gauge theory, nowadays are actually more widely regarded as part of

Matrix models describing topological strings on more general backgrounds were also proposed in for example [22, 23, 24, 25, 26]. We should note that these models are very different

The trace class operator obtained by quantization of the mirror curve of local P 1 × P 1 can be regarded as a generalization of the density matrix appearing in the Fermi gas

First of all, we have developed techniques to compute multi-instanton amplitudes by finding trans-series solutions to the relevant difference equations, and studied in some detail