Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules

Abstract

We prove Iqbal's conjecture on the relationship between the free energy of closed string theory in local toric geometry and the Wess-Zumino-Witten model. This is achieved by first reformulating the calculations of the free energy by localization techniques in terms of suitable Feynman rule, then exploiting a realization of the Feynman rule by free bosons. We also use a formula of Hodge integrals conjectured by the author and proved jointly with Chiu-Chu Melissa Liu and Kefeng Liu.

References in corpus (6)

• Framed knots at large N
• On Link Invariants and Topological String Amplitudes
• Local Mirror Symmetry at Higher Genus
• Hodge integrals, Hurwitz numbers, and Symmetric Groups
• A Conjecture on Hodge Integrals
• The Homfly polynomial of the decorated Hopf link

Cited by in corpus (8)

• Chern-Simons Theory and Topological Strings
• Curve counting and instanton counting
• Crepant resolution conjecture in all genera for type A singularities
• Formulae of one-partition and two-partition Hodge integrals
• Computing Hodge integrals with one lambda-class
• Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration
• Crepant Resolutions, Quivers and GW/NCDT Duality
• Gromov-Witten invariants of toric Calabi-Yau threefolds