2007/10/03 by Daniel L. Jafferis, Jafferis, Daniel L., Natalia Saulina +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.0710.0648
16 pages
arxiv created 2007/10/03 · openalex publication_date 2007/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the index of BPS states for two stacks of D4-branes wrapped on ample divisors and overlapping over a compact Riemann surface inside non-compact Calabi-Yau 3-fold. This index is given in terms of U(N) x U(M) q-deformed Yang Mills theory with bifundamental matter. From the factorization in the limit of large D4 charge, we argue that our result computes the jump in the index of BPS states across the wall of the marginal stability for the split flow of a D4 brane fragmenting into a pair of D4 branes.