$\Omega$ versus Graviphoton

Abstract

I study the deformation of the topological string by $\bar{\Omega }$, the complex conjugate of the $\Omega$-deformation. Namely, I identify $\bar{\Omega }$ in terms of a physical state in the string spectrum and verify that the deformed Yang-Mills and ADHM actions are reproduced. This completes the study initiated recently [1] where we show that $\bar{\Omega }$ decouples from the one-loop topological amplitudes in heterotic string theory. Similarly to the N=2* deformation, I show that the quadratic terms in the effective action play a crucial role in obtaining the correct realisation of the full $\Omega$-deformation. Finally, I comment on the differences between the graviphoton and the $\Omega$-deformation in general and discuss possible $\bar{\Omega }$ remnants at the boundary of the string moduli space.

References in corpus (14)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Topological Amplitudes in String Theory
• Open & Closed vs. Pure Open String Disk Amplitudes
• N=2 Type II- Heterotic duality and Higher derivative F-terms
• Testing Seiberg-Witten Solution
• Worldsheet Realization of the Refined Topological String
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• Lectures on Heterotic-Type I Duality
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• Higher Point Spin Field Correlators in D=4 Superstring Theory
• Probing the Moduli Dependence of Refined Topological Amplitudes
• Topological Amplitudes and the String Effective Action
• Instanton Corrections for m and Omega