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arXiv · 1912.04125

Quantization of a Self-dual Conformal Theory in (2+1) Dimensions

Francesco Andreucci·Andrea Cappelli·Lorenzo Maffi
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Abstract

Compact nonlocal Abelian gauge theory in (2+1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N_F limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3+1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus T_3. Analogous results for the S^2 x S^1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics.

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Francesco Andreucci, Andrea Cappelli, Lorenzo Maffi. 2019-12-09. Quantization of a Self-dual Conformal Theory in (2+1) Dimensions. https://doi.org/10.1007/jhep02(2020)116

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