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  • Open Access

Carrollian superstring in the flipped vacuum

Bin Chen1,2,3,* and Zezhou Hu2,†

  • 1Institute of Fundamental Physics and Quantum Technology, and School of Physical Science and Technology, Ningbo University, Ningbo, Zhejiang 315211, China
  • 2School of Physics, Peking University, No.5 Yiheyuan Rd, Beijing 100871, People’s Republic of China
  • 3Center for High Energy Physics, Peking University, No.5 Yiheyuan Rd, Beijing 100871, People’s Republic of China

  • *Contact author: chenbin1@nbu.edu.cn
  • †Contact author: z.z.hu@pku.edu.cn
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Phys. Rev. D 112, 046005 – Published 5 August, 2025

DOI: https://doi.org/10.1103/b2jy-223t

Abstract

In this work, we study the spectrum of the Carrollian superstring in the flipped vacuum (the highest-weight representation) in detail. The target spacetime of the Carrollian string has a generalized Carrollian symmetry, and it is composed of both Poincaré directions and Carrollian directions. We explicitly show that two homogeneous Carrollian superstring theories, one with compactified Poincaré direction and the other with compactified Carrollian direction, share the same homogenous super-bms3 symmetry, and their zero modes can be identified under the usual T-duality transformation. Moreover, we investigate the spectrum of a general Carrollian superstring in the flipped vacuum. As the string can still have nonvanishing winding along the spatial direction in the infinite radius limit, the spectrum of the Carrollian strings in the flat background is no longer truncated. We furthermore construct the vertex operators of gravitons and discuss their scattering amplitudes. We find that the form of 3-point amplitudes differs from that of the usual tensile superstrings only by a simple function, which reflects the ultralocal nature of Carrollian physics.

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Phys. Rev. D 112, 046005– Published 5 August, 2025
  • Received 24 April 2025
  • Accepted 16 July 2025
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