Abstract
We investigate tensionless (or null) bosonic string theory with a Kalb-Ramond background turned on. In analogy with the tensile case, we find that the Kalb-Ramond field has a non-trivial effect on the spectrum only when the theory is compactified on an (S1)⊗d background with d ≥ 2. We discuss the effect of this background field on the tensionless spectrum constructed on three known consistent null string vacua. We elucidate further on the intriguing fate of duality symmetries in these classes of string theories when the background field is turned on.
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Acknowledgments
It is a pleasure to thank Arjun Bagchi for numerous illuminating discussions and comments on the manuscript. The authors would also like to thank Stephane Detournay, Sabyasachi Dhar, Daniel Grumiller, Jelle Hartong, Johannes Lahnsteiner, Shailesh Lal, Hisayoshi Muraki, Niels Obers, Shahin Sheikh-Jabbari, Stefan Vandoren, and Ziqi Yan for many useful discussions. Initial version of this work was presented at OIST Okinawa and BITS Goa. ArB is supported in part by an OPERA grant and a seed grant NFSG/PIL/2023/P3816 from BITS-Pilani. RC would like to acknowledge the partial support of CSIR grant File No: 09/092(0991)/2018-EMR-I and PHY/SERB/2019525. RC would also like to thank TU Wien, University of Utrecht, University of Amsterdam, NORDITA, DESY Hamburg, ULB Brussels, I.I.T. Bombay and BITS Goa for hospitality during various stages of this work. PP is partially supported by SPO/SERB/PHY/2019525 and by Institute Post Doctoral Fellowship (IPDF) from IIT kanpur. PP would also like to thank Kyoto University, OIST Okinawa and BITS Goa for kind hospitality during various stages of this work.
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Banerjee, A., Chatterjee, R. & Pandit, P. Tensionless strings in a Kalb-Ramond background. J. High Energ. Phys. 2024, 67 (2024). https://doi.org/10.1007/JHEP06(2024)067
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DOI: https://doi.org/10.1007/JHEP06(2024)067