A Construction of Open Descendant Potentials in All Genera
| Autor: | Alexander Alexandrov, Alexey Basalaev, Alexandr Buryak |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry High Energy Physics - Theory (hep-th) Mathematics - Symplectic Geometry General Mathematics FOS: Mathematics Symplectic Geometry (math.SG) FOS: Physical sciences Mathematical Physics (math-ph) Algebraic Geometry (math.AG) Mathematical Physics |
| Zdroj: | International Mathematics Research Notices. |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnac240 |
| Popis: | We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion for an arbitrary solution to the open WDVV equations satisfying a semisimplicity condition and admitting a unit. We show that the open total descendant potentials we define satisfy the open topological recursion relations in genus 0 and 1, the open string and open dilaton equations. We finish the paper with a computation of the simplest nontrivial open correlator in genus 1 using our construction. v3: minor changes before publication in journal have been made, 34 pages |
| Databáze: | OpenAIRE |
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