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Title A study of a non-unitary statistical model: super spin chains and intersecting loops
Speaker E. Granet (CEA Saclay, ENS, Paris, France)
Date&time 📅 Nov 20, 2018
🕓 11:00
Location SISSA, First Floor, Room 128 (Cinema Room)
Abstract We study a non-unitary spin chain with orthosymplectic symmetry that generalizes the O(N) model to any positive or negative integer N. The lack of unitarity allows a stable massless Goldstone phase to appear, otherwise forbidden by the Mermin–Wagner theorem, that is described by a supersphere sigma model. On the 2D lattice it is represented as a dense loop model with loop weight N in which crossings are allowed. Unlike the usual O(N) loop model, the presence of crossings makes the model flow to a different regime where correlations involve logarithms. We compute these logarithmic critical exponents with field theory and the Bethe ansatz.
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