Spaces of stability conditions

Abstract

Stability conditions are a mathematical way to understand $\Pi$-stability for D-branes in string theory. Spaces of stability conditions seem to be related to moduli spaces of conformal field theories. This is a survey article describing what is currently known about spaces of stability conditions, and giving some pointers for future research.

References in corpus (5)

• Seiberg Duality for Quiver Gauge Theories
• Matrix Factorizations and Representations of Quivers I
• Topological conformal field theories and Calabi-Yau categories
• Derived categories of irreducible projective curves of arithmetic genus one
• Stability conditions and Calabi-Yau fibrations

Cited by in corpus (10)

• Calabi-Yau algebras
• D-brane Deconstructions in IIB Orientifolds
• The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
• Stability Conditions and Branes at Singularities
• Automorphisms and autoequivalences of generic analytic K3 surfaces
• Moduli stacks and invariants of semistable objects on K3 surfaces
• Topologies on a triangulated category
• Joyce invariants for K3 surfaces and mock theta functions
• Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli
• Quotient categories, stability conditions, and birational geometry