Non-Lorentzian Kač-Moody Algebras

Bagchi, Arjun; Ritankar, Chatterjee,; Kaushik, Rishabh; Saha, Amartya; Sarkar, Debmalya

doi:10.48550/arxiv.2301.04686

Cited by 2 publications

(2 citation statements)

References 42 publications

(25 reference statements)

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“…In this work, we will be looking at SREE calculations in these theories, and also for the same with added global U(1) symmetries in the boundary theory, i.e. for Non-Lorentzian Kac-Moody algebras [105].…”

Section: Introductionmentioning

confidence: 99%

Symmetry resolution in non-Lorentzian field theories

Banerjee,

Basu,

Bhattacharyya

et al. 2024

J. High Energ. Phys.

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Starting from the computation of Symmetry Resolved Entanglement Entropy (SREE) for boosted intervals in a two dimensional Conformal Field Theory, we compute the same in various non-Lorentzian limits, viz, Galilean and Carrollian Conformal Field Theory in same number of dimensions. We approach the problem both from a limiting perspective and by using intrinsic symmetries of respective non-Lorentzian conformal algebras. In particular, we calculate the leading order terms, logarithmic terms, and the $$ \mathcal{O}(1) $$ O 1 terms and explicitly show exact compliance with equipartition of entanglement, even in the non-Lorentzian system. Keeping in mind the holographic origin of SREE for the Carrollian limit, we further compute SREE for BMS3-Kac-Moody, which couples a U(1) × U(1) theory with bulk gravity.

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Section: Introductionmentioning

confidence: 99%

Symmetry resolution in non-Lorentzian field theories

Banerjee,

Basu,

Bhattacharyya

et al. 2024

J. High Energ. Phys.

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“…The contraction of two u(1) Kac-Moody algebras had been studied in[52]. Non-abelian contractions had been studied recently in[53].…”

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confidence: 99%

Path-integral quantization of tensionless (super) string

Chen¹,

Hu²,

Yu³

et al. 2023

Preprint

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In this work, we study the tensionless (super)string in the formalism of path-integral quantization. We introduce BMS bc and βγ ghosts intrinsically by accounting for the Faddeev-Popov determinants appeared in fixing the gauges. We then do canonical quantization and obtain the critical dimensions for different tensionless strings. We find that among four kinds of tensionless superstrings, the N = 2 homogeneous and inhomogeneous doublet tensionless superstrings have the same critical dimension as the usual superstrings. Taking the BMS bc and βγ ghosts as new types of BMS free field theories, we find that their enhanced underlying symmetries are generated by BMS-Kac-Moody algebras, with the Kac-Moody subalgebras being built from a three-dimensional non-abelian and nonsemi-simple Lie algebra.

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Non-Lorentzian Kač-Moody Algebras

Cited by 2 publications

References 42 publications

Symmetry resolution in non-Lorentzian field theories

Symmetry resolution in non-Lorentzian field theories

Path-integral quantization of tensionless (super) string

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