The refined K-theoretic DT and PT theories of local curves are solved explicitly via localization to skew nested Hilbert schemes, yielding three universal series from the equivariant vertex and confirming the DT/PT correspondence in arbitrary genus.
hub
M theory and topological strings. 2
10 Pith papers cite this work. Polarity classification is still indexing.
10
Pith papers citing it
abstract
It is shown how the topological string amplitudes encode the BPS structure of wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This in turn is related to a twisted supersymmetric index in 5 dimensions which receives contribution only from BPS states. The spin dependence of BPS states in 5 dimensions is captured by the string coupling constant dependence of topological string amplitudes.
hub tools
citation-role summary
background 2
method 1
citation-polarity summary
representative citing papers
Resurgence provides a unique analytic continuation across natural boundaries for Chern-Simons q-series that matches 3-manifold orientation reversal via Mordell integral decompositions.
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.
HOMFLY-PT/Kauffman relation via BMW characters proves HZ factorisability for 3-strand knots but fails for 4-strand knots.
A bootstrap approach applied to ABJM theory yields analytic derivations of instanton corrections to the free energy and to 1/2 and 1/6 BPS Wilson loops, confirming relations previously known only conjecturally.
Topological string partition function on CY threefolds factors into conifold terms powered by sheaf invariants, enabling non-perturbative Borel-resummed expression whose jumps are controlled by genus-zero GV invariants and a deformed prepotential.
Heterotic string theory implies the QCD axion mass is bounded below by 0.5 neV and typically falls in [0.5, 0.8] neV across most compactifications.
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.
Hořava-Witten theory offers a potential string embedding of the dark dimension by localizing the Standard Model on the 11th interval, with symmetric tadpole cancellation and an infinite-distance limit helping derive the scalar potential and couplings from Schwinger integrals.
citing papers explorer
-
The refined local Donaldson-Thomas theory of curves
The refined K-theoretic DT and PT theories of local curves are solved explicitly via localization to skew nested Hilbert schemes, yielding three universal series from the equivariant vertex and confirming the DT/PT correspondence in arbitrary genus.
-
Orientation Reversal and the Chern-Simons Natural Boundary
Resurgence provides a unique analytic continuation across natural boundaries for Chern-Simons q-series that matches 3-manifold orientation reversal via Mordell integral decompositions.
-
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.
-
A relation between the HOMFLY-PT and Kauffman polynomials via characters
HOMFLY-PT/Kauffman relation via BMW characters proves HZ factorisability for 3-strand knots but fails for 4-strand knots.
-
Bootstrapping ABJM theory
A bootstrap approach applied to ABJM theory yields analytic derivations of instanton corrections to the free energy and to 1/2 and 1/6 BPS Wilson loops, confirming relations previously known only conjecturally.
-
Non-perturbative topological strings from resurgence
Topological string partition function on CY threefolds factors into conifold terms powered by sheaf invariants, enabling non-perturbative Borel-resummed expression whose jumps are controlled by genus-zero GV invariants and a deformed prepotential.
-
Heterotic String Theory Suggests a QCD Axion Near 0.5 neV
Heterotic string theory implies the QCD axion mass is bounded below by 0.5 neV and typically falls in [0.5, 0.8] neV across most compactifications.
-
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.
-
Towards the Realization of the Dark Dimension Scenario in Ho\v{r}ava-Witten Theory
Hořava-Witten theory offers a potential string embedding of the dark dimension by localizing the Standard Model on the 11th interval, with symmetric tadpole cancellation and an infinite-distance limit helping derive the scalar potential and couplings from Schwinger integrals.