## 115 Citations

In the woods of M theory

- Mathematics
- 2001

We study BPS states which arise in compactifications of M-theory on Calabi-Yau manifolds. In particular, we are interested in the spectrum of the particles obtained by wrapping M2-brane on a…

Local Mirror Symmetry at Higher Genus

- Mathematics
- 1999

We discuss local mirror symmetry for higher-genus curves. Specifically, we consider the topological string partition function of higher-genus curves contained in a Fano surface within a Calabi-Yau.…

Holomorphic Anomaly Equation and BPS State Counting of Rational Elliptic Surface

- Mathematics
- 1999

We consider the generating function (prepotential) for Gromov-Witten invariants of rational elliptic surface. We apply the local mirror principle to calculate the prepotential and prove a certain…

Topological string on elliptic CY 3-folds and the ring of Jacobi forms

- Mathematics
- 2015

A bstractWe give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi-Yau manifolds can be written in terms of meromorphic Jacobi forms whose…

Topological Strings on Elliptic Fibrations

- Mathematics
- 2012

We study topological string theory on elliptically fibered Calabi-Yau manifolds using mirror symmetry. We compute higher genus topological string amplitudes and express these in terms of polynomials…

Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We calculate the generating functions of BPS indices using their modular properties in Type II and M-theory compactifications on compact genus one fibered CY 3-folds with singular fibers…

State counting on fibered CY 3-folds and the non-Abelian weak gravity conjecture

- MathematicsJournal of High Energy Physics
- 2021

Abstract
We extend the dictionary between the BPS spectrum of Heterotic strings and the one of F-/M-theory compactifications on K3 fibered Calabi-Yau 3-folds to cases with higher rank non-Abelian…

Enhanced gauge groups in N=4 topological amplitudes and Lorentzian Borcherds algebras

- Mathematics
- 2011

We continue our study of algebraic properties of N = 4 topological amplitudes in heterotic string theory compactified on T(2), initiated in arXiv:1102.1821. In this work we evaluate a particular…

Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions

- Mathematics
- 2006

The topological string partition function Z(λ,t,t) =exp(λ2 g-2 Fg(t, t)) is calculated on a compact Calabi–Yau M. The Fg(t, t) fulfil the holomorphic anomaly equations, which imply that ψ=Z…

## References

SHOWING 1-10 OF 57 REFERENCES

Topological field theory and rational curves

- Mathematics
- 1993

We analyze the quantum field theory corresponding to a string propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear σ-model and…

The enumerative geometry of K3 surfaces and modular forms

- Mathematics
- 1997

We prove the conjectures of Yau-Zaslow and Gottsche concerning the number curves on K3 surfaces. Specifically, let X be a K3 surface and C be a holomorphic curve in X representing a primitive…

String Duality and Enumeration of Curves by Jacobi Forms

- Mathematics
- 1998

For a Calabi-Yau threefold admitting both a K3 fibration and an elliptic fibration (with some extra conditions) we discuss candidate asymptotic expressions of the genus 0 and 1 Gromov-Witten…

Hodge integrals and Gromov-Witten theory

- Mathematics
- 1998

Integrals of the Chern classes of the Hodge bundle in Gromov-Witten theory are studied. We find a universal system of differential equations which determines the generating function of these…

Prepotential, Mirror Map and F-Theory on K3

- Mathematics
- 1998

We compute certain one-loop corrections to F^4 couplings of the heterotic string compactified on T^2, and show that they can be characterized by holomorphic prepotentials. We then discuss how some of…