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

2025/06/12 by Nathan Berkovits, Berkovits, Nathan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Operator (biology) #Pure spinor #Sigma #Sigma model #Superstring theory #Topological quantum number #Topology (electrical circuits) #Vertex (graph theory)

paper · pdf · doi:10.48550/arxiv.2506.10907

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/06/12 · openalex created_date 2025/10/13 · openalex updated_date 2026/08/05

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

• Perturbative super-Yang-Mills from the topologicalAdS5×S5sigma model
• 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