# Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the AdS$_3$/CFT$_2$ correspondence

@article{Heydeman2016TensorN,
title={Tensor networks, \$p\$-adic fields, and algebraic curves: arithmetic and the AdS\$_3\$/CFT\$_2\$ correspondence},
author={Matthew Heydeman and M. Marcolli and Ingmar Saberi and B. Stoica},
journal={arXiv: High Energy Physics - Theory},
year={2016}
}
• Matthew Heydeman, +1 author B. Stoica
• Published 2016
• Physics, Mathematics
• arXiv: High Energy Physics - Theory
• One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which a priori depend on the analytic structure of the spacetime) can be formulated in purely algebraic language. This opens the door to interesting generalizations, obtained by taking another choice of field: for instance, the $p$-adics. We generalize the AdS/CFT… CONTINUE READING
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