Abstract
We study the bosonic sector of a decoupling limit of type IIA superstring theory, where a background Ramond-Ramond one-form is fined tuned to its critical value, such that it cancels the associated background D0-brane tension. The light excitations in this critical limit are D0-branes, whose dynamics is described by the Banks-Fischler-Shenker-Susskind (BFSS) Matrix theory that corresponds to M-theory in the Discrete Light-Cone Quantization (DLCQ). We develop the worldsheet formalism for the fundamental string in the same critical limit of type IIA superstring theory. We show that the fundamental string develops singularities on its worldsheet, whose topology is described by nodal Riemann spheres as in ambitwistor string theory. We study the T-duality transformations of this string sigma model and provide a worldsheet derivation for the recently revived and expanded duality web that unifies a zoo of decoupling limits in type II superstring theories. By matching the string worldsheet actions, we demonstrate how some of these decoupling limits are related to tensionless (and ambitwistor) string theory, Carrollian string theory, the Spin Matrix limits of the AdS/CFT correspondence, and more.
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Acknowledgments
We would like to thank Stefano Baiguera, Eric Bergshoeff, Chris Blair, Ritankar Chatterjee, Stephen Ebert, Kevin Grosvenor, Troels Harmark, Henrik Johansson, Johannes Lahnsteiner, Yang Lei, Niels Obers, Gerben Oling, Oliver Schlotterer, Bo Sundborg, Matthew Yu, and Konstantin Zarembo for useful discussions. JG would like to thank Perimeter Institute for their hospitality and suport during this work and Galileo Galilei Institute for Theoretical Physics for the hospitality and the INFN for partial support during the completion of this work. The research of JG was supported in part by PID2019-105614GB-C21 and by the State Agency for Research of the Spanish Ministry of Science and Innovation through the Unit of Excellence Maria de Maeztu 2020-2023 award to the Institute of Cosmos Sciences (CEX2019-000918-M). ZY would like to thank Groningen University, Scuola Normale Superiore di Pisa, Soochow University, Universitat de Barcelona, and Uppsala University for their hospitality and stimulating discussions. ZY is supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 31003710. Nordita is supported in part by NordForsk.
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Gomis, J., Yan, Z. Worldsheet formalism for decoupling limits in string theory. J. High Energ. Phys. 2024, 102 (2024). https://doi.org/10.1007/JHEP07(2024)102
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DOI: https://doi.org/10.1007/JHEP07(2024)102