Wall Crossing Phenomenology of Orientifolds
arXiv:1001.5031
Abstract
We initiate the study of wall crossing phenomena in orientifolds of local toric Calabi-Yau 3-folds from a topological string perspective. For this purpose, we define a notion of real Donaldson-Thomas partition function at the large volume, orbifold and non-commutative point in Kaehler moduli space. As a byproduct, we refine the constant map contribution to the partition function of the real topological string on a local toric background. We conjecture the general relation between the real large volume and real non-commutative/orbifold Donaldson-Thomas partition function of orientifolds of local toric Calabi-Yau 3-folds without compact divisors. The conjectured relation is confirmed at hand of the conifold and local A_n singularity, for which we explicitly derive the real non-commutative/orbifold Donaldson-Thomas partition function combinatorially.
arXiv comment62 pages, 11 figures
References in corpus (26)
- Black Hole Attractors and the Topological String
- Mirror Symmetry, D-Branes and Counting Holomorphic Discs
- Quantum Foam and Topological Strings
- Brane Tilings
- Crystal Melting and Toric Calabi-Yau Manifolds
- Quantum Calabi-Yau and Classical Crystals
- Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
- Orientifolds, Mirror Symmetry and Superpotentials
- SO and Sp Chern-Simons at Large N
- Wall crossing in local Calabi Yau manifolds
- Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
- Topological Open String Amplitudes On Orientifolds
- Wall Crossing and M-theory
- Open BPS Wall Crossing and M-theory
- BPS Microstates and the Open Topological String Wave Function
- On the noncommutative Donaldson-Thomas invariants arising from brane tilings
- Evidence for Tadpole Cancellation in the Topological String
- Non-perturbative orientifold transitions at the conifold
- Counting invariant of perverse coherent sheaves and its wall-crossing
- Computing a pyramid partition generating function with dimer shuffling
- The Real Topological String on a local Calabi-Yau
- The Real Topological Vertex at Work
- Symmetric obstruction theories and Hilbert schemes of points on threefolds
- Density modulo 1 of sublacunary sequences: application of Peres-Schlag's arguments
- Orientiholes
- Random skew plane partitions and the Pearcey process