Monopole dynamics in N=2 superYang-Mills theory from a three-brane probe
Mar, 1999
25 pages
Published in:
- Nucl.Phys.B 559 (1999) 143-164
e-Print:
- hep-th/9903207 [hep-th]
Report number:
- CNLS-99-03,
- BROWN-HET-1177
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Abstract:
The BPS states of N=2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the worldvolume theory of a threebrane probe in F theory. The solutions preserve 1/2 of N=2 supersymmetry and provide a worldvolume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to curvature singularities in the supergravity background. We explicitly show how the UV cut off of the effective field theory is mapped into an IR cut off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.Note:
- 26 pages, harvmac, some equations corrected in section 3. No conclusions changed, references added. Apologies to those not previously referenced, final version to appear in Nucl. Phys. B Report-no: CNLS-99-03, BROWN-HET-1177
- 11.25.Mj
- 4.50.+h
- 4.62.+v
- 4.65.+e
- gauge field theory: SU(2)
- supersymmetry
- membrane model
- string model
- moduli space
- supergravity
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