Quantized strings and instantons in holography

Friðrik Freyr Gautason*, Valentina Giangreco M. Puletti, Jesse van Muiden

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study worldsheet instantons in holographic type IIA backgrounds directly in string theory. The first background is a dimensional reduction of AdS7 × S 4 and is dual to the maximally supersymmetric Yang-Mills theory on S 5. The second background is AdS4 × C P 3 dual to ABJM in the type IIA limit. We compute the one-loop partition function of the fundamental string in these backgrounds and show that the result is in exact agreement with field theory predictions. We argue that for higher rank instantons, the string partition function takes a product form of the single instanton partition function times the contribution of two orbifolds on the worldsheet. We determine the orbifold factor to be n−3/2 where n is the instanton rank. With this result, we reproduce the series of non-perturbative corrections in α to the planar S 5 free energy. When studying the worldsheet instanton partition function on C P 3, we encounter twelve fermionic and twelve bosonic zero modes. By deforming the ABJM theory, the zero-modes are lifted and consequently the tower of worldsheet instantons can be evaluated and matched to known results in the QFT. As a by-product, we determine a series of higher rank instanton corrections to the free energy of the mass-deformed and orbifolded ABJ(M) theory.

Original languageEnglish
Article number218
JournalJournal of High Energy Physics
Volume2023
Issue number8
DOIs
Publication statusPublished - Sept 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Other keywords

  • AdS-CFT Correspondence
  • D-Branes
  • Gauge-Gravity Correspondence
  • Superstring Vacua

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