Abstract. We derive a Bouchard–Eynard type topological recursion for the total descen- dant potential of AN -singularity. Our argument relies on a certain twisted representation of a Heisenberg Vertex Operator Algebra (VOA) constructed via the periods of AN -singularity. In particular, our approach allows us to prove that the topological recursion for the total descendant potential is equivalent to a certain generating set of W-algebra constraints.
W-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski) / Milanov, T.; Lewanski, D.. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 27:13(2016), pp. 1650110.1-1650110.18. [10.1142/S0129167X1650110X]
W-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski)
Lewanski, D.
2016-01-01
Abstract
Abstract. We derive a Bouchard–Eynard type topological recursion for the total descen- dant potential of AN -singularity. Our argument relies on a certain twisted representation of a Heisenberg Vertex Operator Algebra (VOA) constructed via the periods of AN -singularity. In particular, our approach allows us to prove that the topological recursion for the total descendant potential is equivalent to a certain generating set of W-algebra constraints.Pubblicazioni consigliate
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