Free-field realisations of the BMS$_{3}$ algebra and its extensions

Banerjee, Nabamita; Jatkar, Dileep P.; Mukhi, Sunil; Neogi, Turmoli

doi:10.1007/JHEP06(2016)024

Free-field realisations of the BMS $_{3}$ algebra and its extensions

Nabamita Banerjee
(
- IISER, Pune
)
,
Dileep P. Jatkar
(
- Harish-Chandra Res. Inst.
)
,
Sunil Mukhi
(
- IISER, Pune
)
,
Turmoli Neogi
(
- IISER, Pune
)

Dec 19, 2015

11 pages

Published in:

JHEP 06 (2016) 024

Published: Jun 6, 2016

e-Print:

1512.06240 [hep-th]

DOI:

10.1007/JHEP06(2016)024

View in:

reference search35 citations

Citations per year

Abstract: (Springer)

We construct an explicit realisation of the BMS

_{3}

algebra with nonzero central charges using holomorphic free fields. This can be extended by the addition of chiral matter to a realisation having arbitrary values for the two independent central charges. Via the introduction of additional free fields, we extend our construction to the minimally supersymmetric BMS

_{3}

algebra and to the nonlinear higher-spin BMS

_{3}

-W

_{3}

algebra. We also describe an extended system that realises both the SU(2) current algebra as well as BMS

_{3}

via the Wakimoto representation, though in this case introducing a central extension also brings in new non-central operators.

Note:

1+18 pages, expanded version, new section on higher-spin BMS$_3$-W$_3$ added, JHEP Version

Gauge-gravity correspondence
Higher Spin Symmetry
Space-Time Symmetries
String Duality
symmetry: Kac-Moody
matter: chiral
algebra
central charge
supersymmetry
holomorphic

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Free-field realisations of the BMS3_{3}3​ algebra and its extensions

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Free-field realisations of the BMS $_{3}$ algebra and its extensions