Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-30
Nucl.Phys.B834:258-272,2010
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 1 figure
Scientific paper
10.1016/j.nuclphysb.2010.03.019
Consider the degeneracies of BPS bound states of one D6 brane wrapping Calabi-Yau X with D0 branes and D2 branes. When we include D4-branes wrapping Lagrangian cycle L in addition, D2-branes can end on them. These give rise to new bound states in the d=2, N=(2,2) theory of the D4 branes. We call these "open" BPS states, in contrast to closed BPS states that arise from D-branes without boundaries. Lifting this to M-theory, we show that the generating function is captured by free Fock space spanned by M2-brane particles ending on M5 branes wrapping L. This implies that the open BPS bound states are counted by the square of the open topological string partition function on X, reduced to the corresponding chamber. Our results give new predictions for open BPS invariants and their wall crossing phenomena when we change the open and closed string moduli. We relate our results to the work of Cecotti and Vafa on wall crossing in the two dimensional N=(2,2) theories. The findings from the crystal melting model for the open BPS invariants proposed recently fit well with the M-theory predictions.
Aganagic Mina
Yamazaki Masahito
No associations
LandOfFree
Open BPS Wall Crossing and M-theory 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 Open BPS Wall Crossing and M-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open BPS Wall Crossing and M-theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-444149