The Spectrum of $BPS$ Branes on a Noncompact Calabi-Yau

By Michael R Douglas, B. Fiol, Christian Romelsberger. 2000

179 citations recorded by the source corpus.

We begin the study of the spectrum of BPS branes and its variation on lines of marginal stability on 2(?3), a Calabi-Yau ALE space asymptotic to 3/3. We show how to get the complete spectrum near the large volume limit and near the orbifold point, and find a striking similarity between the descriptions of holomorphic bundles and BPS branes in these two limits. We use these results to develop a general picture of the spectrum. We also suggest a generalization of some of the ideas to the quintic Calabi-Yau.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dfde3063b09f03112558293e51f33be6ba836694

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. M. Graña
2. A. Kapustin
3. G. Moore
4. P. Aspinwall
5. T. Bridgeland
6. Yukinobu Toda
7. Clay Córdova
8. Michael R Douglas

In Nuclear and High Energy Physics

1. M. Graña
2. G. Moore
3. E. Witten
4. A. Tomasiello
5. Clay Córdova
6. A. Kapustin
7. C. Vafa
8. N. Seiberg

In Statistical and Nonlinear Physics

1. M. Graña
2. Clay Córdova
3. G. Moore
4. A. Tomasiello
5. C. Vafa
6. R. Minasian
7. Balázs Szendrői
8. E. Witten

Citations in the corpus

• Dirichlet Branes and Mirror Symmetry (2009, methodology): “Thus, we can get a quite explicit picture in this case, studied in [138, 137, 149].”
• D-Branes on Calabi-Yau Manifolds (2004, methodology): “he example is C3/Z 3 where ggenerates Z 3 and acts as g: (z 1,z 2,z 3) →(ωz 1,ωz 2,ωz 3) for ω= exp(2πi/3). Much of the analysis of D-branes on orbifolds has been done in this simplest example (e.g., [118,157,159,175]). Let Vi, i= 0,...,2 be the one-dimensional irreducible representations of Z 3 giv”
• $\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, background): “Fractional branes as a basis of BPS quivers were studied in [26, 29, 30].”
• A scan for new N = 1 vacua on twisted tori (2006, background): “o show that the D–term BPS conditions for B–branes [75], which read Im(eiθeB+FeiJ), are mapped by mirror symmetry to the stability conditions for A–branes, Im(eiθeFΩ). A similar mapping was argued in [76] for the expression of the central charge for B–branes, R B e B+iJch(E) q Td(M) Td(B) and for A–”
• Exact solutions for supersymmetric stationary black hole composites (2003, unknown): “We also give an example of moduli-dependent black hole entropy.”