2024/10/24 by Рената Каллош, Kallosh, Renata
Physics and Astronomy · #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.2410.19216
D-dimensional maximal supergravities type I with G/H coset spaces have global G-symmetry and local H symmetry, which can be gauge-fixed in symmetric or Iwasawa-type gauges. Maximal D-dimensional supergravities type II derived from higher dimensions without dualization have less local and global symmetries. In 4D, Gaillard-Zumino duality group Sp(56) enhances U-duality symmetry group E7(7). Using the Hamiltonian path integral, we show how extra symmetries beyond E7(7), serve to establish S-matrix equivalence of supergravities I and II in different gauges. Enhanced dualities are not available in D > 4. This is consistent with the existence of local H symmetry and global G symmetry anomalies and UV divergences in D > 4 supergravities, and with the absence of these anomalies and UV divergences, so far, in 4D \cal N≥ 5 supergravities.