PIRSA:15030071

Topological Strings from quantum mechanics

(2015). Topological Strings from quantum mechanics. Perimeter Institute. https://pirsa.org/15030071

Topological Strings from quantum mechanics. Perimeter Institute, Mar. 17, 2015, https://pirsa.org/15030071 

          @misc{ pirsa_PIRSA:15030071,
            doi = {10.48660/15030071},
            url = {https://pirsa.org/15030071},
            author = {},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Topological Strings from quantum mechanics},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {mar},
            note = {PIRSA:15030071 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:15030071
Collection
Talk Type
Subject
Abstract

In this talk I will propose a general correspondence which associates a non-perturbative quantum mechanical operator to a toric Calabi-Yau manifold, and I will propose a conjectural expression for its spectral determinant. As a consequence of these results, I will derive an exact quantization condition for the operator spectrum. I will give a concrete illustration of this conjecture by focusing on the example of local P2. This approach also provides a non-perturbative Fermi gas picture of topological strings on toric background and suggests the existence of an underlying theory of M2 branes behind this formulation.