2017/12/31 by R. Javadinezhad, B. Oblak, M. M. Sheikh-Jabbari
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1007/jhep04(2018)025
published as J. High Energ. Phys. (2018) 2018: 25 · 22 pages, one figure. v2: Title expanded, various minor clarifications added. Published in JHEP
arxiv created 2018/04/13 · arxiv updated 2018/04/16
The NHEG algebra is an extension of Virasoro introduced in [arXiv:1503.07861]; it describes the symplectic symmetries of (n+4)-dimensional Near Horizon Extremal Geometries with SL(2,R)× U(1)n+1 isometry. In this work we construct the NHEG group and classify the (coadjoint) orbits of its action on phase space. As we show, the group consists of maps from an n-torus to the Virasoro group, so its orbits are bundles of standard Virasoro coadjoint orbits over Tn. We also describe the unitary representations that are expected to follow from the quantization of these orbits, and display their characters. Along the way we show that the NHEG algebra can be built from u(1) currents using a twisted Sugawara construction.