A new theory of mirror symmetry

David L. Hartle, Yu-Jie Zhang
Comments: 8 pages, 3 figures

We propose a new theory of mirror symmetry for the canonical Fermi liquid model. We first compute the space of mirror symmetric $S$-invariant Fermi fluids in the space of space-time directions in which they are partitioned into their mirror and non-mirror parts. We show that mirror symmetry can be broken in the mirror partition function and that the space of mirror symmetric Fermi fluids is the space of mirror-free fluids. We then introduce a new partition function for D-branes and D-branes that is consistent with the space of mirror-exposed Fermi liquids. We give a definition of mirror symmetry in the mirror partition function and a definition of mirror symmetry in the mirror partition function.