D-instanton, threshold corrections, and topological string - INSPIRE

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D-instanton, threshold corrections, and topological string

Manki Kim
(
- MIT, Cambridge, CTP
)

Jan 9, 2023

18 pages

Published in:

JHEP 05 (2023) 097

Published: May 12, 2023

e-Print:

2301.03602 [hep-th]

DOI:

10.1007/JHEP05(2023)097

Report number:

MIT-CTP/5518

View in:

ADS Abstract Service

reference search11 citations

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Abstract: (Springer)

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.

Note:

v2: 17 pages. Typos fixed. References added. Some discussions expanded. v3: 18 pages. References added. v4: matches jhep version

D-Branes
String and Brane Phenomenology
Superstring Vacua
string model: topological
threshold: correction
superpotential: nonperturbative
orientifold: Calabi-Yau
coupling: gauge
string: topological
partition function

References(64)

Figures(0)

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