Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-16
SIGMA 4 (2008), 068, 33 pages
Physics
High Energy Physics
High Energy Physics - Theory
This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrabilit
Scientific paper
10.3842/SIGMA.2008.068
The appearance of a generalized (or Borcherds-) Kac-Moody algebra in the spectrum of BPS dyons in N=4, d=4 string theory is elucidated. From the low-energy supergravity analysis, we identify its root lattice as the lattice of the T-duality invariants of the dyonic charges, the symmetry group of the root system as the extended S-duality group PGL(2,Z) of the theory, and the walls of Weyl chambers as the walls of marginal stability for the relevant two-centered solutions. This leads to an interpretation for the Weyl group as the group of wall-crossing, or the group of discrete attractor flows. Furthermore we propose an equivalence between a "second-quantized multiplicity" of a charge- and moduli-dependent highest weight vector and the dyon degeneracy, and show that the wall-crossing formula following from our proposal agrees with the wall-crossing formula obtained from the supergravity analysis. This can be thought of as providing a microscopic derivation of the wall-crossing formula of this theory.
Cheng Miranda C. N.
Verlinde Erik P.
No associations
LandOfFree
Wall Crossing, Discrete Attractor Flow and Borcherds Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wall Crossing, Discrete Attractor Flow and Borcherds Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wall Crossing, Discrete Attractor Flow and Borcherds Algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-91258