Parallel/coincident D-brane superpotentials, Ooguri-Vafa invariants, and Type II/F theory duality

doi:10.7523/j.issn.2095-6134.2019.05.003

Abstract

Abstract: The superpotential is very important physical observation in the topological string theory, and it determines the F-term of the low-energy effective theory and the string vacuum structure. Ooguri-Vafa invariants, as the counting number of BPS states, can be extracted from the superpotential, giving rise to the energy spectrum of the D-brane system. We compute the superpotentials and Ooguri-Vafa invariants for complicated D-brane system, namely double D-branes system, in the parallel and coincident phases using the Type Ⅱ/F theory duality for the first time. The coincidence of parallel D-branes leads to the enhancement of gauge symmetry U(1)×…×U(1)→U(n) in terms of gauge theory on the worldvolume of the D-branes being known as the phase transition between the parallel D-brane phase and the coincident D-brane phase. We find the difference between the Ooguri-Vafa invariants for the two phases giving rise to the distinct spectra. It can be viewed as an evidence of the phase transition.

Key words: Type II/F-theory duality, phase transition, superpotential, Ooguri-Vafa invariants

CLC Number:

JIANG Xiaotian, YANG Fuzhong. Parallel/coincident D-brane superpotentials, Ooguri-Vafa invariants, and Type II/F theory duality[J]. , 2019, 36(5): 590-597.

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