Tensionless strings and Galilean Conformal Algebra

Self Cite

168

177

Assuming the existence of a field theory in D dimensions dual to (D + 1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review briefly some successes of the 3d bulk -2d boundary case and then focus on the 4d bulk -3d boundary example, where the symmetry in question is the infinite dimensional BMS 4 algebra. We look at the constraints imposed by this symmetry on a 3d field theory by constructing highest weight representations of this algebra. We construct two and three point functions of BMS primary fields and surprisingly find that symmetries constrain these correlators to be identical to those of a 2d relativistic conformal field theory. We then go one dimension higher and construct prototypical examples of 4d field theories which are putative duals of 5d Minkowski spacetimes. These field theories are ultra-relativistic limits of electrodynamics and Yang-Mills theories which exhibit invariance under the conformal Carroll group in D = 4. We explore the different sectors within these Carrollian gauge theories and investigate the symmetries of the equations of motion to find that an infinite ultra-relativistic conformal structure arises in each case.

Section: Jhep12(2016)147mentioning

confidence: 82%

Flat holography: aspects of the dual field theory

Bagchi

Basu

Kakkar

et al. 2016

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168

177

“…It should be noticed [35] that the physical degrees of freedom describe a Galilean string with vanishing potential energy density, although the tension parameter T in the NR lagrangian density is finite. On the other hand, non-relativistic and carrollian symmetries of relativistic tensionless strings have been discussed in [36,37]. Let us consider now the NR stringy limit of the string.…”

Section: Jhep02(2017)049mentioning

confidence: 99%

Extended Galilean symmetries of non-relativistic strings

Batlle

Gomis

Not

2017

161

We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-relativistic vibrating string. For both cases we write the generator of the most general point transformation and impose the condition of Noether symmetry. As a result we obtain two sets of non-relativistic Killing equations for the vector fields that generate the symmetry transformations. Solving these equations shows that NR strings exhibit two extended, infinite dimensional space-time symmetries which contain, as a subset, the Galilean symmetries. For each case, we compute the associated conserved charges and discuss the existence of non-central extensions.

“…Let us return to the discussion of the tensionless string. It has been shown that the tensionless limit on the worldsheet is obtained by the following scaling [39] σ → σ, τ → ετ, ε → 0.…”

Section: Jhep02(2018)065mentioning

confidence: 99%

Inhomogeneous tensionless superstrings

Bagchi

Banerjee

Chakrabortty

et al. 2018

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We construct a novel tensionless limit of Superstring theory that realises the Inhomogeneous Super Galilean Conformal Algebra (SGCA I ) as the residual symmetry in the analogue of the conformal gauge, as opposed to previous constructions of the tensionless superstring, where a smaller symmetry algebra called the Homogeneous SGCA emerged as the residual gauge symmetry on the worldsheet. We obtain various features of the new tensionless theory intrinsically as well as from a systematic limit of the corresponding features of the tensile theory. We discuss why it is desirable and also natural to work with this new tensionless limit and the larger algebra.