Interacting conformal Carrollian theories: Cues from electrodynamics

Banerjee, Kinjal; Basu, Rudranil; Mehra, Aditya; Mohan, Akhila; Sharma, Aditya

doi:10.1103/physrevd.103.105001

Cited by 44 publications

(31 citation statements)

References 40 publications

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“…the Witt algebra generates on-shell symmetries, at the level of equations of motion, when a particular field is turned off. This is a reflection of the fact that these are weak symmetries in the sense elaborated in [40][41][42][43]. To investigate the roles of these later ones, we look at their realizations on phase space, where they generate Hamiltonian vector fields.…”

Section: Noether Charges and Phase Space Analysismentioning

confidence: 99%

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Galilean Gauge Theories from Null Reductions

Bagchi,

Basu,

Islam

et al. 2022

Preprint

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The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3 and 4. Different non-relativistic conformal symmetries arise in these contexts: Schrödinger symmetry in d = 3 and Galilean conformal symmetry in d = 4. A canonical analysis further reveals that the symmetries enhance to their infinite dimensional versions in phase space and pick up central extensions. In addition, for the Abelian theory, we discuss non-relativistic electromagnetic duality in d = 3 and its difference with the d = 4 version. We also mention some quantum aspects for both Abelian and non-Abelian theories.

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Section: Noether Charges and Phase Space Analysismentioning

confidence: 99%

“…It is however of greater importance to construct actions of quantum field theories with Carroll symmetry. Some work in this direction are [40,43,66,67]. We would like to generalise these constructions to non-abelian theories and study their quantum mechanical structure.…”

Section: Looking Aheadmentioning

confidence: 99%

Galilean Gauge Theories from Null Reductions

Bagchi,

Basu,

Islam

et al. 2022

Preprint

Self Cite

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“…It was formulated first in [12,26] in terms of equations of motion. Then the action was constructed using Helmholtz conditions in [27]. This theory is very captivating with different sectors, both of which exhibit infinite-dimensional BMS symmetries.…”

Section: Jhep09(2021)078mentioning

confidence: 99%

Galilean electrodynamics: covariant formulation and Lagrangian

Mehra

Sanghavi

2021

J. High Energ. Phys.

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“…The conformal versions of these are Carrollian CFTs. The putative dual theories of flat space are therefore Carrollian CFTs in one lower dimension [10][11][12][13][14][15]. These field theories live naturally on the null boundary of asymptotically flat spacetime as well as on black hole horizons, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Carrollian superconformal theories and super BMS

Bagchi,

Grumiller,

Nandi

2022

Preprint

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We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions d > 3, with applications of flat space holography in mind. We identify the contraction of the relativistic symmetry relevant for our purposes and construct a finite-dimensional Carrollian superconformal algebra (CSA) before proposing an infinite-dimensional lift. We provide the superspace formulation for N = 1 CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of N > 1 CSA.

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Interacting conformal Carrollian theories: Cues from electrodynamics

Cited by 44 publications

References 40 publications

Galilean Gauge Theories from Null Reductions

Galilean Gauge Theories from Null Reductions

Galilean electrodynamics: covariant formulation and Lagrangian

Carrollian superconformal theories and super BMS

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