Topological string on elliptic CY 3-folds and the ring of Jacobi forms
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Publication:2636007
DOI10.1007/JHEP10(2015)125zbMath1388.81219arXiv1501.04891OpenAlexW1825128189MaRDI QIDQ2636007
Sheldon Katz, Albrecht Klemm, Min-Xin Huang
Publication date: 31 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.04891
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Uses Software
Cites Work
- Integrability of the holomorphic anomaly equations
- Special polynomial rings, quasi modular forms and duality of topological strings
- Extended holomorphic anomaly in gauge theory
- From weak to strong coupling in ABJM theory
- Topological wave functions and heat equations
- Holomorphic anomalies in topological field theories
- Refined stable pair invariants for E-, M- and \([p,q\)-strings]
- The theory of Jacobi forms
- Direct integration of the topological string
- The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
- Topological strings and (almost) modular forms
- The moduli space of 3-folds with \(K=0\) may nevertheless be irreducible
- Automorphic forms with singularities on Grassmannians
- Topological gravity as large \(N\) topological gauge theory
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
- Elliptic genera of symmetric products and second quantized strings
- Counting higher genus curves in a Calabi-Yau manifold
- Elliptic genus of E-strings
- On the elliptic genus of three E-strings and heterotic strings
- On gauge theory and topological string in Nekrasov-Shatashvili limit
- Holomorphic anomaly equation and BPS state counting of rational elliptic surface.
- A test of the chiral \(E_8\) current algebra on a 6D non-critical string
- Mirror symmetry is \(T\)-duality
- The \(\Omega \) deformed \(B\)-model for rigid \(N=2\) theories
- Direct integration for general \(\Omega\) backgrounds
- Hodge integrals and Gromov-Witten theory
- Holomorphicity and modularity in Seiberg-Witten theories with matter
- The refined BPS index from stable pair invariants
- M-strings
- Topological strings on elliptic fibrations
- Quantum geometry of elliptic Calabi-Yau manifolds
- Elliptic genera of 2d \(\mathcal N = 2\) gauge theories
- On compact analytic surfaces. III
- On compact analytic surfaces. II
- Relative Lefschetz Action and BPS State Counting
- Strings of Minimal 6d SCFTs
- Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
- Introduction to Toric Varieties. (AM-131)
- Topological string amplitudes for the local $\frac{1}{2}$K3 surface
- Stable pairs and BPS invariants
- Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions
- Product formulas for modular forms on O(2,n) (after R.Borcherds)
- Supergravity
- Mirror symmetry for two-parameter models. II
- Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces
- Mirror maps, modular relations and hypergeometric series. II
- Holomorphic couplings in string theory
- BPS states of exceptional non-critical strings
- Local mirror symmetry: Calculations and interpretations
- M-theory, topological strings and spinning black holes
- Exact results for \(N=2\) compactifications of heterotic strings
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- Unnamed Item
- Unnamed Item