PreprintCC BY 4.0arXiv
A Superfluid at All Temperatures
Abstract
We construct unitary, local, 3+1-dimensional conformal field theories with finitely many fields whose thermal state breaks a continuous global symmetry at every temperature. They are finite-N versions of the Chaudhuri--Choi--Rabinovici theories, whose planar circle of fixed points has an ordered arc. The circle is lifted at order 1/N2, and an infinite family of fixed points on this arc reaches arbitrarily weak coupling, where the superfluid is under parametric control. We also show that weakly gauging the symmetry gives a superconductor over an exponential range of temperatures.
Related
BibTeX
@misc{harder2026superfluid,
title = {{A Superfluid at All Temperatures}},
author = {Sven Harder and Adar Sharon},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10169},
eprint = {2610.10169},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10169},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Superfluid at All Temperatures
AU - Sven Harder
AU - Adar Sharon
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10169
UR - https://arxiv.org/abs/2610.10169
AB - We construct unitary, local, 3+1-dimensional conformal field theories with finitely many fields whose thermal state breaks a continuous global symmetry at every temperature. They are finite-N versions of the Chaudhuri--Choi--Rabinovici theories, whose planar circle of fixed points has an ordered arc. The circle is lifted at order 1/N^2, and an infinite family of fixed points on this arc reaches arbitrarily weak coupling, where the superfluid is under parametric control. We also show that weakly gauging the symmetry gives a superconductor over an exponential range of temperatures.
ER -