Knots, Braids and BPS States in M-Theory

Details Knots, Braids and BPS States in M-Theory Knots, Braids and BPS States in M-Theory

2001-10-03

arxiv.org/abs/hep-th/0110036v1

JHEP 0206 (2002) 023

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1088/1126-6708/2002/06/023

In previous work we considered M-theory five branes wrapped on elliptic Calabi-Yau threefold near the smooth part of the discriminant curve. In this paper, we extend that work to compute the light states on the worldvolume of five-branes wrapped on fibers near certain singular loci of the discriminant. We regulate the singular behavior near these loci by deforming the discriminant curve and expressing the singularity in terms of knots and their associated braids. There braids allow us to compute the appropriate string junction lattice for the singularity and,hence to determine the spectrum of light BPS states. We find that these techniques are valid near singular points with N=2 supersymmetry.

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