Open-closed string duality, branes, and topological recursion

Lowenstein, Ashton

doi:10.1007/jhep07(2024)056

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Open-closed string duality, branes, and topological recursion

Lowenstein, Ashton

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Abstract

We consider matrix models exhibiting open-closed string duality in two-dimensional string theories with various amounts of supersymmetry. In particular, a relationship between matrix models in the β = 2 Wigner-Dyson class and models in the (1 + 2Γ, 2) Altland-Zirnbauer class relates the perturbative solutions of the two systems’ string equations. Point-like operator insertions in the closed string theory are mapped to the topological expansion of the free energy in the open string theory. We compute correlation functions of macroscopic loop operators and FZZT branes in a general topological gravity background. The relationship between the topological recursion of moduli space volumes and branes is discussed by analyzing the Virasoro conditions in the matrix models.

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2D Gravity 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Category Theory, Homological Algebra Computability and Recursion Theory D-Branes Matrix Models Matrix Theory Operator Theory Physics String Duality String Theory Topological Groups and Lie Groups

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Lowenstein, Ashton. 2024-07-05. Open-closed string duality, branes, and topological recursion. https://doi.org/10.1007/jhep07(2024)056

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