D-instanton, threshold corrections, and topological string

A bstract In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, I...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 5; pp. 97 - 17
Main Author Kim, Manki
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 12.05.2023
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
D-Branes
Elementary Particles
Field theory (physics)
High energy physics
Instantons
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String and Brane Phenomenology
String Theory
Superstring Vacua
Topology
D-Branes
Superstring Vacua
String and Brane Phenomenology
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Summary:A bstract In this note, we prove that the one-loop pfaffian of the non-perturbative superpotential generated by Euclidean D-branes in type II compactifications on orientifolds of Calabi-Yau threefolds is determined by the moduli integral of the new supersymmetric index defined by Cecotti, Fendley, Intriligator, and Vafa. As this quantity can be computed via topological string theory, Chern-Simons theory, matrix models, or by solving the holomorphic anomaly equation, this result provides a method to directly compute the one-loop pfaffian of the non-perturbative superpotential. The relation between the one-loop pfaffian, threshold corrections to the gauge coupling, and the one-loop partition function of open topological string theory is discussed.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2023)097