PIRSA:15030071 Scientific Series Quantum Fields and Strings

DOI10.48660/15030071

Series: Quantum Fields and Strings

(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}}
}

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.

Resources

Next talk

Related Talks