Topological A-Model for AdS₅× S⁵ Superstring and the Maldacena Conjecture

2025/06/12 by Nathan Berkovits, Berkovits, Nathan
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2506.10907

Abstract

A topological A-model constructed from CP^3|4 supertwistor variables is proposed for the AdS₅× S⁵ superstring. At zero AdS radius, free N=4 d=4 super-Yang-Mills amplitudes are reproduced by topological amplitudes of the corresponding gauged linear sigma model where the closed superstring vertex operator for a trace of k super-Yang-Mills fields is described by a boundary state with k edges. After turning on a Fayet-Iliopoulis term in the sigma model with coefficient R² =√g_YM² N, the topological amplitudes are claimed to reproduce the 't Hooft expansion of perturbative super-Yang-Mills amplitudes. Finally, this topological A-model is related to the usual AdS₅× S⁵ superstring in the pure spinor formalism.

Citations

• Deriving the Simplest Gauge-String Duality -- I: Open-Closed-Open Triality
• Sketching a Proof of the Maldacena Conjecture at Small Radius
• N=2 strings and the twistorial Calabi-Yau
• Perturbative Gauge Theory as a String Theory in Twistor Space
• On the Gauge Theory/Geometry Correspondence

Related

• Sketching a Proof of the Maldacena Conjecture at Small Radius
• The AdS₅ × S⁵ Superstring
• Superstring holography and integrability in AdS₅ x S⁵
• Generalized Topological Sigma Model
• Amplitudes at strong coupling as hyperkähler scalars