In this paper we consider the total space of the canonical bundle of (Formula presented.) and we use a proposal by Hosono, together with results of Seidel and Auroux–Katzarkov–Orlov, to deduce the physical mirror equivalence between (Formula presented.) and the derived Fukaya category of its mirror which assigns the expected central charge to BPS states. By construction, our equivalence is compatible with the mirror map relating the complex and the Kähler moduli spaces and with the computation of Gromov–Witten invariants.
The Physical Mirror Equivalence for the Local P^2
CACCIATORI, SERGIO LUIGI;
2015-01-01
Abstract
In this paper we consider the total space of the canonical bundle of (Formula presented.) and we use a proposal by Hosono, together with results of Seidel and Auroux–Katzarkov–Orlov, to deduce the physical mirror equivalence between (Formula presented.) and the derived Fukaya category of its mirror which assigns the expected central charge to BPS states. By construction, our equivalence is compatible with the mirror map relating the complex and the Kähler moduli spaces and with the computation of Gromov–Witten invariants.
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