Knots, braids and BPS states in M-theory | Zendy

Antonella Grassi | Zendy; Zachary Guralnik | Zendy; Burt A. Ovrut | Zendy

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Knots, braids and BPS states in M-theory

Author(s) -

Antonella Grassi,

Zachary Guralnik,

Burt A. Ovrut

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/06/023

Subject(s) - braid , singularity , discriminant , string theory , brane cosmology , string (physics) , lattice (music) , pure mathematics , mathematics , physics , theoretical physics , geometry , computer science , artificial intelligence , materials science , acoustics , composite material

In previous work we considered M-theory five branes wrapped on ellipticCalabi-Yau threefold near the smooth part of the discriminant curve. In thispaper, we extend that work to compute the light states on the worldvolume offive-branes wrapped on fibers near certain singular loci of the discriminant.We regulate the singular behavior near these loci by deforming the discriminantcurve and expressing the singularity in terms of knots and their associatedbraids. There braids allow us to compute the appropriate string junctionlattice for the singularity and,hence to determine the spectrum of light BPSstates. We find that these techniques are valid near singular points with N=2supersymmetry.Comment: 38 page

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