Free field realization of the BMS Ising model

Yu, Zhe-fei; Chen, Bin

doi:10.48550/arxiv.2211.06926

Cited by 2 publications

(13 citation statements)

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“…In particular, they include an anisotropic scaling symmetry. This is similar to the BMS free scalar and fermion [42].…”

Section: Introductionsupporting

confidence: 71%

“…When doing the path integral, we introduce the BMS bc-ghost, which turns out to be the inhomogenous ultra-relativistic(UR) limit of the usual bc-ghost. This theory is another BMS free theory apart from the BMS free scalar [41] and fermion [42,43,44]. We also find another BMS bc-ghost by taking the homogenious UR limit of the usual bc-ghost.…”

Section: Introductionmentioning

confidence: 61%

“…In the BMS free fermions, it has been shown that the underlying symmetry algebra is a BMS-Kac-Moody algebra with a U (1) Kac-Moody subalgebra [42]. As we will show in the following, the underlying symmetry of the BMS bc ghosts is also generated by a BMS-Kac-Moody algebra, but now the Kac-Moody subalgebra is built from a three-dimensional nonabelian and non-semi-simple Lie algebra.…”

Section: Bms Free Theories: Bc and βγ Ghostsmentioning

confidence: 86%

“…The other BMS free theories, the BMS free scalar and free fermions, had been studied in the literatures [41,42,43,44]. These theories exhibit novel features such as the staggered modules and enhanced underlying symmetries, besides the expected appearance of the boost multiplets [35].…”

Section: Bms Free Theories: Bc and βγ Ghostsmentioning

confidence: 99%

“…Nevertheless, the BMS (GCA) bootstrap seems still viable [35,38,36,39,40]. Very recently, a few concrete models of BMSFT had been constructed [41,42,43,44], which are in fact closely related to the tensionless string 1 .…”

Section: Introductionmentioning

confidence: 99%

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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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“…In particular, they include an anisotropic scaling symmetry. This is similar to the BMS free scalar and fermion [42].…”

Section: Introductionsupporting

confidence: 71%

Section: Introductionmentioning

confidence: 61%

Section: Bms Free Theories: Bc and βγ Ghostsmentioning

confidence: 86%

Section: Bms Free Theories: Bc and βγ Ghostsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Path-integral quantization of tensionless (super) string

Chen¹,

Hu²,

Yu³

et al. 2023

Preprint

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Magic fermions: Carroll and flat bands

Bagchi

Banerjee

Basu

et al. 2023

J. High Energ. Phys.

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The Carroll algebra is constructed as the c → 0 limit of the Poincare algebra and is associated to symmetries on generic null surfaces. In this paper, we begin investigations of Carrollian fermions or fermions defined on generic null surfaces. Due to the availability of two different (degenerate) metrics on Carroll spacetimes, there is the possibility of two different versions of Carroll Clifford algebras. We consider both possibilities and construct explicit representations of Carrollian gamma matrices and show how to build higher spacetime dimensional representations out of lower ones. Actions for Carroll fermions are constructed with these gamma matrices and the properties of these actions are investigated.We show that in condensed matter systems where the dispersion relation becomes trivial i.e. the energy is not dependent on momentum and bands flatten out, Carroll symmetry generically appears. We give explicit examples of this including that of twisted bi-layer graphene, where superconductivity appears at so called magic angles and connect this to Carroll fermions.

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Free field realization of the BMS Ising model

Cited by 2 publications

References 0 publications

Path-integral quantization of tensionless (super) string

Path-integral quantization of tensionless (super) string

Magic fermions: Carroll and flat bands

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