Notes on integrating out M2 branes
Jarod Hattab, Eran Palti
TL;DR
This paper discusses the process of integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi-Yau manifolds, leading to a new formula for topological string free energy.
Contribution
It introduces a new formula for topological string free energy derived from integrating out M2 branes in Calabi-Yau manifolds.
Findings
Derivation of a new formula for topological string free energy
Clarification of the role of M2 branes in topological string theory
Educational exposition suitable for graduate students
Abstract
Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi-Yau manifolds is an important calculation: it allows the determination of, and in some ways defines, the free energy of topological strings. In these notes, based on a short course aimed at graduate students, we go through various aspects of this calculation in detail. The end result is a recently proposed new formula for the topological string free energy.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Numerical methods for differential equations