A Superfluid at All Temperatures

Sven Harder; Adar Sharon

Home/Archive/arXiv

arXiv · 2610.10169

A Superfluid at All Temperatures

Sven Harder·Adar Sharon

View original source ↗Read source document ↗Export metadata ↓

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 $1/N^2$, 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.

Explore related subjects

hep-th cond-mat.str-el

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

Sven Harder, Adar Sharon. 2026-10-07. A Superfluid at All Temperatures. https://arxiv.org/abs/2610.10169

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

The entropy of finite gravitating regions

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall spacetime, interpretable as a sum over the edge modes associated with the region. We argue that this entanglement entropy can be interpreted, to leading order in Newton's constant, as the minimal generalized entropy among all regions that enclose it. This suggests a notion of ``terrestrial holography'' where regions of space can encode larger ones, in contrast to the standard form of holography, in which degrees of freedom on the celestial sphere at the boundary of the universe encode the interior.

hep-th↗

arXiv2026

Gravitational four-derivative corrections in non-relativistic heterotic supergravity and the $SO(8)$ Green-Schwarz mechanism

We present the first explicit construction of the four-derivative gravitational corrections to heterotic supergravity in the non-relativistic (NR) limit. By extending the Bergshoeff-de Roo identification (BdRi) to NR backgrounds, we obtain the complete finite four-derivative completion of the bosonic gravitational sector of NR heterotic supergravity. We investigate the BdRi in the two currently known non-relativistic limits of heterotic supergravity. In the first case, corresponding to the Lescano-Osten construction, the BdRi gives rise to a gravitational SO(8) Green-Schwarz (GS) mechanism originating from the NR gauge transformation of the Kalb-Ramond field. This mechanism can be trivialized using field redefinitions, and this modification induces a GS mechanism for boost transformations. In the second case, corresponding to the Bergshoeff-Romano construction, the resulting gravitational $SO(8)$ GS mechanism cannot be trivialized, closely paralleling the relativistic heterotic theory. Our results establish a systematic framework for incorporating higher-curvature gravitational dynamics into non-relativistic heterotic backgrounds and provide a first step toward the complete higher-derivative NR heterotic theory.

hep-th↗

arXiv2026

Linearised gravity as edge modes & manifest duality and Lorentz covariance

We present the first formulation of linearised gravity in four dimensions which is manifestly Lorentz covariant and democratic, i.e. treats the two frames related by electric-magnetic duality on equal footing. It is well-known that four-dimensional linearised gravity belongs to a class of singleton representations of the four-dimensional conformal algebra $\mathfrak{so}(2,4)$. Our key insight is viewing this algebra as the isometry of $\text{AdS}_5$ and realising the massless spin-2 field as edge modes of a five-dimensional topological field taking values in a specific finite-dimensional representation of $\mathfrak{so}(2,4)$. The desired four-dimensional action is then found by a covariant boundary reduction procedure.

hep-th↗