Towards a gauge theory interpretation of the real topological string
arXiv:1508.06644 · doi:10.1103/PhysRevD.93.066001
Abstract
We consider the real topological string on certain non-compact toric Calabi-Yau three-folds X, in its physical realization describing an orientifold of type IIA on X with an O4-plane and a single D4-brane stuck on top. The orientifold can be regarded as a new kind of surface operator on the gauge theory with 8 supercharges arising from the singular geometry. We use the M-theory lift of this system to compute the real Gopakumar-Vafa invariants (describing wrapped M2-brane BPS states) for diverse geometries. We show that the real topological string amplitudes pick up certain signs across flop transitions, in a well-defined pattern consistent with continuity of the real BPS invariants. We further give some preliminary proposals of an intrinsically gauge theoretical description of the effect of the surface operator in the gauge theory partition function.
40 pages; v2: minor changes (refs added, section 4.2.3 added)
References in corpus (14)
- The Refined Topological Vertex
- 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
- Non-Lagrangian Theories from Brane Junctions
- Instanton counting with a surface operator and the chain-saw quiver
- Surface Operator, Bubbling Calabi-Yau and AGT Relation
- Refined Chern-Simons Theory and Topological String
- Curve counting and instanton counting
- Instanton counting on blowup. II. -theoretic partition function
- Flop Invariance of Refined Topological Vertex and Link Homologies
- The Real Topological String on a local Calabi-Yau
- Flop invariance of the topological vertex
- Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case
- Some Details On The Gopakumar-Vafa and Ooguri-Vafa Formulas
- M-theory interpretation of the real topological string