Branes, fluxes and duality in M(atrix) theory

Nov, 1996
14 pages
Published in:
  • Nucl.Phys.B 492 (1997) 191-204
e-Print:
Report number:
  • PUPT-1668

Citations per year

19962003201020172024020406080
Abstract:
We use the T-duality transformation which relates M-theory on T 3T~3 to M-theory on a second T 3T~3 with inverse volume to test the Banks-Fischler-Shenker-Susskind suggestion for the matrix model description of M-theory. We find that T-duality appears to be realized as S-duality for U()U(\infty) N=4N=4 Super-Yang-Mills in 3+1D. We argue that Kaluza Klein states of gravitons correspond to electric fluxes, wrapped membranes become magnetic fluxes and instantonic membranes are related to Yang-Mills instantons. The T-duality transformation of gravitons into wrapped membranes is interpreted as the duality between electric and magnetic fluxes. The equivalence of M-theory T-duality and SYM S-duality provides a natural framework for studying the M-theory 5-brane as the S-dual object to the unwrapped membrane.
  • 11.25.-w
  • field theory: M-theory
  • matrix model
  • membrane model
  • gauge field theory: Yang-Mills
  • supersymmetry
  • duality
  • compactification
  • Kaluza-Klein model