Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.
Holomorphic Anomalies in Topological Field Theories
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study the stringy genus one partition function of $N=2$ SCFT's. It is shown how to compute this using an anomaly in decoupling of BRST trivial states from the partition function. A particular limit of this partition function yields the partition function of topological theory coupled to topological gravity. As an application we compute the number of holomorphic elliptic curves over certain Calabi-Yau manifolds including the quintic threefold. This may be viewed as the first application of mirror symmetry at the string quantum level.
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hep-th 5representative citing papers
Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.
The Species Scale implies Laplace eigenvalue equations for BPS-protected Wilson coefficients and produces a one-loop moduli potential with minima at desert points that may stabilize Kähler moduli in 4d Type IIB orientifolds.
Deforming holomorphic Chern-Simons theory produces rescaling-invariant instantons and anomaly-free theories on End(TX) for Morse-classified directions in deformation space.
citing papers explorer
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Non-Perturbative Real Topological Strings
Extends operator formalism of closed topological strings to derive all-order trans-series solutions for real topological strings, with disk invariants as Stokes constants and numerical checks on local P2.
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Open-Closed-Open Triality Beyond Matrix Models
Two open-string descriptions of branes on the resolved conifold are equivalent; integrating out one stack yields an effective potential that reproduces the backreaction and matches giant-graviton actions on the deformed conifold.
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Some Properties and Uses of the Species Scale
The Species Scale implies Laplace eigenvalue equations for BPS-protected Wilson coefficients and produces a one-loop moduli potential with minima at desert points that may stabilize Kähler moduli in 4d Type IIB orientifolds.
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On a Deformed Holomorphic Chern-Simons Theory
Deforming holomorphic Chern-Simons theory produces rescaling-invariant instantons and anomaly-free theories on End(TX) for Morse-classified directions in deformation space.
- Large Order Enumerative Geometry, Black Holes and Black Rings