Gauge theory at large N and new G(2) holonomy metrics

Jun, 2001
32 pages
Published in:
  • Nucl.Phys.B 611 (2001) 179-204
e-Print:
Report number:
  • CALT-68-2333,
  • CITUSC-01-022,
  • ITEP-TH-27-01,
  • PUPT-1991

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Abstract:
We find a one-parameter family of new G_2 holonomy metrics and demonstrate that it can be extended to a two-parameter family. These metrics play an important role as the supergravity dual of the large NN limit of four dimensional supersymmetric Yang-Mills. We show that these G_2 holonomy metrics describe the M-theory lift of the supergravity solution describing a collection of D6-branes wrapping the supersymmetric three-cycle of the deformed conifold geometry for any value of the string coupling constant.
Note:
  • 31 pages, harvmac; references added Report-no: CALT-68-2333, CITUSC/01-022, ITEP-TH-27/01, PUPT-1991
  • gauge field theory: Yang-Mills
  • supersymmetry
  • expansion 1/N
  • holonomy: G(2)
  • geometry
  • supergravity
  • duality
  • M-theory
  • membrane model: D-brane
  • instanton