2002/08/31 by Itzhak Bars · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.66.105024
published as Phys.Rev. D66 (2002) 105024 · LaTeX, 32 pages. v2 includes additional generalizations in the discussion section. The norm of J has been modified in eqs.(2.6, 3.3, 3.8). v3 includes a correction to Eq.(5.3)
arxiv created 2002/10/28 · openalex publication_date 2002/11/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is shown that AdS5\ifmmode×\else\texttimes\fiS5 supergravity has hitherto unnoticed supersymmetric properties that are related to a hidden 12-dimensional structure. The totality of the AdS5\ifmmode×\else\texttimes\fiS5 supergravity Kaluza-Klein towers is given by a single superfield that describes the quantum states of a 12-dimensional supersymmetric particle. The particle has super phase space (XM,PM,\ensuremathΘ), with a (10,2) signature and 32 fermions. The worldline action is constructed as a generalization of the supersymmetric particle action in two-time physics. SU(2,2|4) is a linearly realized global supersymmetry of the 2T action. The action is invariant under the gauge symmetries Sp (2,R), SO(4,2), SO(6), and fermionic kappa. These gauge symmetries ensure unitarity and causality while allowing the reduction of the 12-dimensional super phase space to the correct super phase space for AdS5\ifmmode×\else\texttimes\fiS5 or M4\ifmmode×\else\texttimes\fiR6 with 16 fermions and one time, or other dually related one time spaces. One of the predictions of this formulation is that all of the SU(2,2|4) representations that describe Kaluza-Klein towers in AdS5\ifmmode×\else\texttimes\fiS5 or M4\ifmmode×\else\texttimes\fiR6 supergravity universally have vanishing eigenvalues for all the Casimir operators. This prediction has been partially verified directly in AdS5\ifmmode×\else\texttimes\fiS5 supergravity. This suggests that the supergravity spectrum supports a hidden (10,2) structure. A possible duality between AdS5\ifmmode×\else\texttimes\fiS5 and M4\ifmmode×\else\texttimes\fiR6 supergravities is also indicated. Generalizations of the approach applicable 10-dimensional super Yang-Mills theory and 11-dimensional M theory are briefly discussed.