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M-Theory and Topological Strings--II
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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.
Forward citations
Cited by 31 Pith papers
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Conifold Gap Theorem for Topological Recursion
For every toric mirror curve with a generic one-node degeneration and every genus at least 2, the conifold free energy equals B_{2g}/(2g(2g-2)) t^{2-2g} plus a holomorphic remainder.
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Monodromy defects in Chern-Simons theory and Holography
Monodromy defects in charge-conjugation-symmetric Chern-Simons theory are labeled by twisted affine representations, realize a Z2-crossed category, and are holographically dual to orientifolds of the resolved conifold...
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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 D...
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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 co...
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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.
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Exact Modular Completion of the ABJM Effective Twisted Superpotential
The paper reports closed-form and apparently exact formulas, involving Eisenstein series and Eichler integrals, for the nonperturbative completion of the ABJM twisted superpotential at levels 1, 2, and 4.
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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.
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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.
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Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds
The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...
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Gromov-Witten invariants of log Calabi-Yau 3-folds are holomorphic lagrangian correspondences
Log Gromov-Witten invariants of Calabi-Yau 3-folds are canonically represented by holomorphic lagrangian cycles in a new Weinstein-style category, with a conjectural unitary bridge to Donaldson-Thomas invariants.
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Co-Scaling and Alignment of Electric and Magnetic Towers
Electric and magnetic BPS towers in 5d supergravity are conjectured to co-scale and align, and a new S-map is conjectured to characterize the magnetic infinity cone of a Calabi-Yau threefold.
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Black Hole Entropy, Quantum Corrections and EFT Transitions
Quantum corrections to BPS black hole entropy in 4d N=2 string compactifications can be resummed into a finite formula that interpolates between four- and five-dimensional EFT descriptions and matches exact 5d microst...
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The Double EFT Expansion in Quantum Gravity
Quantum gravity EFT actions organize higher-curvature corrections into a field-theoretic expansion suppressed by the lightest new mass and a quantum-gravitational expansion suppressed by the species scale.
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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 invariant...
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BPS Invariants for Generalized Toric Calabi-Yau Threefolds
Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.
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Flux Vacua Near the Boundary of Large Complex Structure
Near the boundary of large complex structure, the first worldsheet instanton can displace flux vacua significantly while higher instantons stay negligible, and such vacua are common in a bounded two-modulus scan.
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On Calabi-Yau Threefolds For Unified LVS Inflation
A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.
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On BPS Branes
The paper defines cones C_BPS-B and C_BPS-BB for BPS branes in supergravity and conjectures that states in C_BPS-BB are realized as BPS states with C_BPS-B as their electric-magnetic dual when moduli-independent.
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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...
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More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
For 5d N=1 pure gauge theories, Wilson-loop blowup equations can be fixed using one-form symmetry and low-instanton data, and one-instanton free energies admit a universal v=sqrt(q1q2) expansion resembling Hilbert series.
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An Airy Tale at Large $N$
The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.
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Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex
First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.
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Deep observations of the Type IIB flux landscape
An enumeration algorithm for Type IIB flux vacua yields millions of explicit vacua in a two-modulus Calabi-Yau, exposing deviations from statistical predictions and a vacuum with |W0| about 5.5 x 10^-5.
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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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Quantum Mirror Map for Del Pezzo Geometries
The quantum mirror map of the D5 del Pezzo curve is expressed in D5 characters with a signed multi-covering structure, and it reproduces the effective chemical potentials of the (2,2) and (1,1,1,1) super Chern-Simons ...
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Modular resurgence of topological string
Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.
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Chern-Simons Theory, Holography and Topological Strings
A review of Chern-Simons/topological string duality with a new heuristic explanation of the conifold transition in terms of a 3-form gauge field sourced by D-branes.
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Mock modularity at work, or black holes in a forest
Generating functions of D4-D2-D0 BPS black hole microstates in Calabi-Yau compactifications are higher-depth mock modular forms, and solving their anomaly equations determines exact degeneracies and topological invariants.
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$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence
Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.
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Brief overview of Candidate de Sitter Vacua
Type IIB Calabi-Yau orientifold compactifications are shown to admit metastable de Sitter vacua with all moduli stabilized at leading order in the alpha prime and g_s expansions, in five explicit examples.
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A survey of knots and quivers
This is a review of knot polynomials, triply-graded knot homologies, and the knots-quivers correspondence, with no new results.
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