Normalization of ZZ instanton amplitudes in minimal string theory

Journal Article · 26 July 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2022)139 · OSTI ID:1904167

Eniceicu, Dan Stefan ^[1]; Mahajan, Raghu  ^[1]; Murdia, Chitraang ^[2]; Sen, Ashoke  ^[3]

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1. Stanford Univ., CA (United States)
2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
3. International Center for Theoretical Sciences, Bengaluru (India)

We use insights from string field theory to analyze and cure the divergences in the cylinder diagram in minimal string theory with both boundaries lying on a ZZ brane. We focus on theories with worldsheet matter consisting of the (2, p) minimal model plus Liouville theory, with total central charge 26, together with the usual bc-ghosts. The string field theory procedure gives a finite, purely imaginary normalization constant for non-perturbative effects in minimal string theory, or doubly non-perturbative effects in JT gravity. We find precise agreement with the prediction from the dual double-scaled one-matrix integral. We also make a few remarks about the extension of this result to the more general (p', p) minimal string.

• Research Organization: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; US Air Force Office of Scientific Research (AFOSR)
• Grant/Contract Number: AC02-05CH11231; SC0019380
• OSTI ID: 1904167
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2022; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English