Carrollian superstring in the flipped vacuum

Fuente: arXiv
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Main Authors: Chen, Bin, Hu, Zezhou
Format: Preprint
Published: 2025
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author Chen, Bin
Hu, Zezhou
author_facet Chen, Bin
Hu, Zezhou
contents 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 BMS$_3$ 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 ultra-local nature of Carrollian physics.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11011
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Carrollian superstring in the flipped vacuum
Chen, Bin
Hu, Zezhou
High Energy Physics - Theory
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 BMS$_3$ 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 ultra-local nature of Carrollian physics.
title Carrollian superstring in the flipped vacuum
topic High Energy Physics - Theory
url https://arxiv.org/abs/2501.11011