AdS$_{3}$/CFT$_{2}$ and q-Poincaré superalgebras - INSPIRE

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AdS $_{3}$ /CFT $_{2}$ and q-Poincaré superalgebras

Jun 7, 2016

21 pages

Published in:

J.Phys.A 49 (2016) 43, 435402

Published: Oct 6, 2016

e-Print:

1606.02217 [hep-th]

DOI:

10.1088/1751-8113/49/43/435402

Report number:

DMUS-MP-16-12

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reference search19 citations

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Abstract: (IOP)

We discover that a certain deformation of the 1+1 dimensional Poincaré superalgebra is exactly realised in the massless sector of the

{\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}

integrable scattering problem. Deformed Poincaré superalgebras were previously noticed to appear in the

{\mathrm{AdS}}_{5}/{\mathrm{CFT}}_{4}

correspondence—which displays only massive excitations, but they were there only a partial symmetry. We obtain a representation of the boost operator and its coproduct, and show that the comultiplication exactly satisfies the homomorphism property. We present a classical limit, and finally speculate on an analogy with the physics of phonons.

Note:

21 pages, no figures, pdfLaTeX; v2: typos corrected, references added; v3: matches journal version

AdS/CFT
integrability
quantum groups
field theory: conformal
supersymmetry: algebra
approximation: classical
anti-de Sitter
AdS/CFT correspondence
deformation
Poincare

References(124)

Figures(0)

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