3 years ago

Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter.

Meng Cheng, Iris Cong, Zhenghan Wang

We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries.

Publisher URL: http://arxiv.org/abs/1707.04564

DOI: arXiv:1707.04564v3

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