# Tau-Structure for the Double Ramification Hierarchies

```@article{Buryak2018TauStructureFT,
title={Tau-Structure for the Double Ramification Hierarchies},
author={Alexandr Buryak and Boris Dubrovin and J{\'e}r{\'e}my Gu{\'e}r{\'e} and Paolo Rossi},
journal={Communications in Mathematical Physics},
year={2018},
volume={363},
pages={191-260}
}```
• Published 17 February 2016
• Mathematics
• Communications in Mathematical Physics
In this paper we continue the study of the double ramification hierarchy of Buryak (Commun Math Phys 336(3):1085–1107, 2015). After showing that the DR hierarchy satisfies tau-symmetry we define its partition function as the (logarithm of the) tau-function of the string solution and show that it satisfies various properties (string, dilaton, and divisor equations plus some important degree constraints). We then formulate a stronger version of the conjecture from Buryak (2015): for any…
29 Citations

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