## 63 Citations

New Anomalies in Topological String Theory

- Mathematics
- 2009

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and…

Background independence and the open topological string wavefunction

- Mathematics
- 2007

The open topological string partition function in the background of a D-brane on a Calabi-Yau threefold specifies a state in the Hilbert space associated with the quantization of the underlying…

The holomorphic anomaly for open string moduli

- Mathematics
- 2007

We complete the holomorphic anomaly equations for topological strings with their dependence on open moduli. We obtain the complete system by standard path integral arguments generalizing the analysis…

Holomorphic anomaly equations in topological string theory

- Mathematics
- 2008

In this thesis we discuss various aspects of topological string theories. In particular we provide a derivation of the holomorphic anomaly equation for open strings and study aspects of the Ooguri,…

The Real Topological String on a local Calabi-Yau

- Mathematics
- 2009

We study the topological string on local P2 with O-plane and D-brane at its real locus, using three complementary techniques. In the A-model, we refine localization on the moduli space of maps with…

Evidence for Tadpole Cancellation in the Topological String

- Mathematics
- 2007

We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion…

Holomorphic Anomaly in Open Topological String

- Mathematics
- 2007

In my talk I reported on progress in mirror symmetry for open strings and topological strings on compact Calabi-Yau threefolds with D-branes in the background. The emphasis is on compact Calabi-Yau…

Decoupling A and B model in open string theory: topological adventures in the world of tadpoles

- Mathematics
- 2009

In this paper we analyze the problem of tadpole cancellation in open topological strings. We prove that the inclusion of unorientable worldsheet diagrams guarantees a consistent decoupling of A and B…

Integrability of the holomorphic anomaly equations

- Mathematics
- 2008

We show that modularity and the gap condition make the holomorphic anomaly equation completely integrable for non-compact Calabi-Yau manifolds. This leads to a very efficient formalism to solve the…

## References

SHOWING 1-10 OF 60 REFERENCES

Evidence for Tadpole Cancellation in the Topological String

- Mathematics
- 2007

We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion…

Open string amplitudes and large order behavior in topological string theory

- Mathematics
- 2008

We propose a formalism inspired by matrix models to compute open and closed topological string amplitudes in the B-model on toric Calabi-Yau manifolds. We find closed expressions for various open…

Superpotentials, A ∞ Relations and WDVV Equations for Open Topological Strings

- Mathematics
- 2004

We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A∞ relations (which generalize associativity of the…

Holomorphic anomaly and matrix models

- Mathematics
- 2007

The genus g free energies of matrix models can be promoted to modular invariant, non-holomorphic amplitudes which only depend on the geometry of the classical spectral curve. We show that these…

Quantum A-infinity Structures for Open-Closed Topological Strings

- Physics, Mathematics
- 2006

We study factorizations of topological string amplitudes on higher genus Riemann surfaces with multiple boundary components and find quantum A-infinity relations, which are the higher genus analog of…

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…

BPS microstates and the open topological string wave function

- Mathematics
- 2005

It has recently been conjectured that the closed topological string wave function computes a grand canonical partition function of BPS black hole states in 4 dimensions: Z_BH=|psi_top|^2. We…

Opening Mirror Symmetry on the Quintic

- Mathematics
- 2006

Aided by mirror symmetry, we determine the number of holomorphic disks ending on the real Lagrangian in the quintic threefold. We hypothesize that the tension of the domainwall between the two vacua…