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Branched SL(2,Z) Duality

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arxiv 2208.13815 v3 pith:P63XO2IS submitted 2022-08-29 hep-th

Eric Bergshoeff , Kevin T. Grosvenor , Johannes Lahnsteiner , Ziqi Yan , Utku Zorba This is my paper · ORCID
classification hep-th
keywords actionsrealizestringbranchedchargescornerdualitymanifestly
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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.

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  1. On the Underlying Nonrelativistic Nature of Relativistic Holography

    hep-th 2025-02 conditional novelty 5.0 of 10

    Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.

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