Branched SL(2,ℤ) duality

Journal of High Energy Physics, vol. 2022

Abstract

Abstract We investigate how SL(2,ℤ) duality is realized in nonrelativistic type IIB superstring theory, which is a self-contained corner of relativistic string theory. Within this corner, we realize manifestly SL(2,ℤ)-invariant (p, q)-string actions. The construction of these actions imposes a branching between strings of opposite charges associated with the two-form fields. The branch point is determined by these charges and the axion background field. Both branches must be incorporated in order to realize the full SL(2,ℤ) group. Besides these string actions, we also construct D-instanton and D3-brane actions that manifestly realize the branched SL(2,ℤ) symmetry.

Authors 5

1. Eric Bergshoeff

   University of Groningen

   Affiliation as printed

   Van Swinderen Institute, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

2. Kevin T. Grosvenor Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA, Leiden, The Netherlands

3. Johannes Lahnsteiner corresponding

   University of Groningen

   Affiliation as printed

   Van Swinderen Institute, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

4. Ziqi Yan

   Nordic Institute for Theoretical Physics · Stockholm University · KTH Royal Institute of Technology

   Affiliation as printed

   Nordita, KTH Royal Institute of Technology and Stockholm University, Hannes Alfvéns väg 12, SE-106 91, Stockholm, Sweden

5. Utku Zorba

   Boğaziçi University

   Affiliation as printed

   Physics Department, Boğaziçi University, Bebek, 34342, Istanbul, Turkey