Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific DT invariants.
c=1 String as the Topological Theory of the Conifold
5 Pith papers cite this work. Polarity classification is still indexing.
abstract
We show that the non-critical $c=1$ string at the self-dual radius is equivalent to topological strings based on the deformation of the conifold singularity of Calabi-Yau threefolds. The Penner sum giving the genus expansion of the free energy of the $c=1$ string theory at the self-dual radius therefore gives the universal behaviour of the topological partition function of a Calabi-Yau threefold near a conifold point.
citation-role summary
citation-polarity summary
fields
hep-th 5verdicts
UNVERDICTED 5roles
background 3polarities
background 3representative citing papers
Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT and DT invariants.
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.
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.
citing papers explorer
-
The non-perturbative topological string: from resurgence to wall-crossing of DT invariants
Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific DT invariants.
-
Large Order Enumerative Geometry, Black Holes and Black Rings
Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT and DT invariants.
-
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.
-
All the D-Branes of Resurgence
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
-
Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole
The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.