Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory

Saha, Amartya

doi:10.48550/arxiv.2207.11684

Cited by 3 publications

(3 citation statements)

References 41 publications

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“…On its own right, BMSFT has been widely studied in the past few years. These theories are typically not unitary and exhibit novel features [34,35,36,37], especially the appearance of the boost multiplet [35]. Nevertheless, the BMS (GCA) bootstrap seems still viable [35,38,36,39,40].…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

Path-integral quantization of tensionless (super) string

Chen¹,

Hu²,

Yu³

et al. 2023

Preprint

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“…On one hand, non-relativistic symmetries appear in the context of holography [1][2][3][4][5][6][7][8][9][10][11][12], Hořava-Lifshitz gravity [13][14][15][16][17][18], effective field theory description of the quantum Hall effect [19][20][21][22][23], among others. On the other hand, ultra-relativistic symmetries of the Carrollian type have found recent applications in the study of tachyon JHEP10(2022)155 condensation [24], warped conformal field theories [25], tensionless strings [26][27][28][29][30], holography in asymptotically flat space-times [31][32][33][34][35][36][37][38], asymptotic symmetries [39][40][41] and in the context of soft hair on black hole horizons [42,43].…”

Section: Introductionmentioning

confidence: 99%

Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories

Concha

Henríquez-Baez

Rodríguez

2022

J. High Energ. Phys.

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In this paper, we present novel and known non-relativistic and ultra-relativistic spin-3 algebras, by considering the Lie algebra expansion method. We start by applying the expansion procedure using different semigroups to the spin-3 extension of the AdS algebra, leading to spin-3 extensions of known non-relativistic and ultra-relativistic algebras. We then generalize the procedure considering an infinite-dimensional semigroup, which allows to obtain a spin-3 extension of two new infinite families of the Newton-Hooke type and AdS Carroll type. We also present the construction of the gravity theories based on the aforementioned algebras. In particular, the expansion method based on semigroups also allows to derive the (non-degenerate) invariant bilinear forms, ensuring the proper construction of the Chern-Simons gravity actions. Interestingly, in the vanishing cosmological constant limit we recover the spin-3 extensions of the infinite-dimensional Galilean and infinite-dimensional Carroll gravity theories.

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“…Note that in[129], an intrinsic computation of ⟨T1ϕ1ϕ2⟩ and ⟨T2ϕ1ϕ2⟩ for CCFT are also provided. We can obtain the corresponding results for GCFT by interchanging x and t as mentioned in appendix A.…”

mentioning

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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Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory

Cited by 3 publications

References 41 publications

Path-integral quantization of tensionless (super) string

Path-integral quantization of tensionless (super) string

Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories

Symmetry resolution in non-Lorentzian field theories

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