Fractional branes and N=1 gauge theories

Dec, 2001
20 pages
Published in:
  • Nucl.Phys.B 630 (2002) 222-240
e-Print:
Report number:
  • NORDITA-2001-92-HE,
  • DSF-43-2001

Citations per year

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Abstract:
We discuss fractional D3-branes on the orbifold C^3/Z_2*Z_2. We study the open and the closed string spectrum on this orbifold. The corresponding N=1 theory on the brane has, generically, a U(N_1)*U(N_2)*U(N_3)*U(N_4) gauge group with matter in the bifundamental. In particular, when only one type of brane is present, one obtains pure N=1 Yang-Mills. We study the coupling of the branes to the bulk fields and present the corresponding supergravity solution, valid at large distances. By using a probe analysis, we are able to obtain the Wilsonian beta-function for those gauge theories that possess some chiral multiplet. Although, due to the lack of moduli, the probe technique is not directly applicable to the case of pure N=1 Yang-Mills, we point out that the same formula gives the correct result also for this case.
Note:
  • 21 pages, AMS-LaTeX, v2: references added and typos corrected Report-no: NORDITA-2001/92 HE, DSF-43/2001 Journal-ref: Nucl. Phys. B, 630 (2002) 222-240
  • 11.25.-w
  • membrane model: D-brane
  • membrane: fractional
  • gauge field theory: Yang-Mills
  • supergravity
  • beta function
  • string: spectrum
  • bound state