# From CFT to Ramond super-quantum curves

@article{Ciosmak2017FromCT, title={From CFT to Ramond super-quantum curves}, author={Paweł Ciosmak and Leszek Hadasz and Zbigniew Jask{\'o}lski and Masahide Manabe and Piotr Sułkowski}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-68} }

A bstractAs we have shown in the previous work, using the formalism of matrix and eigenvalue models, to a given classical algebraic curve one can associate an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a certain (e.g. Virasoro or super-Virasoro) underlying algebra. In this paper we reformulate this problem in the language of conformal field theory. Such a reformulation has several advantages: it leads to the identification of quantum…

## 10 Citations

Topological recursion in the Ramond sector

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe investigate supereigenvalue models in the Ramond sector and their recursive structure. We prove that the free energy truncates at quadratic order in Grassmann coupling constants, and…

CFT approach to constraint operators for ($\beta$-deformed) hermitian one-matrix models

- Mathematics
- 2022

Since the ( β -deformed) hermitian one-matrix models can be represented as the integrated conformal ﬁeld theory (CFT) expectation values, we construct the operators in terms of the generators of the…

Super Quantum Airy Structures

- Mathematics, PhysicsCommunications in mathematical physics
- 2020

It is proved that to a given super quantum Airy structure one can assign a unique set of free energies, which satisfy a supersymmetric generalization of the topological recursion.

Super topological recursion and Gaiotto vectors for superconformal blocks

- Mathematics, PhysicsLetters in Mathematical Physics
- 2022

We investigate a relation between the super topological recursion and Gaiotto vectors for N = 1 superconformal blocks. Concretely, we introduce the notion of the untwisted and μ-twisted super…

Analyticity of the free energy for quantum Airy structures

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

It is shown that the free energy associated to a finite-dimensional Airy structure is an analytic function at each finite order of the -expansion. Its terms are interpreted as objects living on the…

Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector

- Computer Science
- 2020

We analyze the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector. We show that the partition functions of these matrix models can not be obtained by acting on elementary…

Airy Structures for Semisimple Lie Algebras

- MathematicsCommunications in Mathematical Physics
- 2021

We give a complete classification of Airy structures for finite-dimensional simple Lie algebras over $${\mathbb {C}}$$
C
, and to some extent also over $${\mathbb {R}}$$
R
, up to isomorphisms…

$${\mathcal {N}}=1$$ super topological recursion

- PhysicsLetters in Mathematical Physics
- 2021

We introduce the notion of $${\mathcal {N}}=1$$
N
=
1
abstract super loop equations and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be…

Supereigenvalue models and topological recursion

- Physics
- 2018

A bstractWe show that the Eynard-Orantin topological recursion, in conjunction with simple auxiliary equations, can be used to calculate all correlation functions of supereigenvalue models.

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