Curvature Exponent of Sub-Finsler Heisenberg Groups
Borza, S Magnabosco, M Rossi, T Tashiro, K SIAM Journal on Mathematical Analysis volume 57 issue 4 3561-3586 (31 Aug 2025)
Mathematical modelling predicts novel mechanisms of stream confinement from Trail/Colec12/Dan in the collective migration of cranial neural crest cells
Johnson, S Kulesa, P Baker, R Maini, P Developmental Dynamics volume 255 issue 1 43-65 (07 Nov 2025)
Jordan-Holder theorem for profinite groups and applications
Bar-On, T Nikolov, N Communications in Algebra volume 54 issue 1 35-44 (25 Jun 2025)
Regular homotopy classes of locally generic mappings
Juhász, A Topology and Its Applications volume 138 issue 1-3 45-59 (28 Mar 2004)
Non-vanishing unitary cohomology of low-rank integral special linear groups
Brueck, B Hughes, S Kielak, D Mizerka, P International Mathematics Research Notices volume 2025 issue 15 rnaf230 (06 Aug 2025)
Entropy-based models to randomise real-world hypergraphs
Saracco, F Petri, G Lambiotte, R Squartini, T Communications Physics volume 8 issue 1 (08 Jul 2025)
Pattern localisation in the Swift-Hohenberg equation via slowly varying spatial heterogeneity
Gaffney, E SIAM Journal on Applied Dynamical Systems volume 24 issue 4 2804-2847 (16 Oct 2025)
On two‐generator subgroups of mapping torus groups
Andrew, N Iv, E Kapovich, I Vidussi, S Shalen, P Journal of the London Mathematical Society volume 112 issue 1 (08 Jul 2025)
Tue, 25 Nov 2025
13:00
L2

Symmetry-enforced Fermi surfaces

Salvatore Pace
(MIT )
Abstract

One of the great powers of global symmetry is its ability to constrain the possible phases of many-body quantum systems. In this talk, we will present a symmetry that enforces every symmetric model to be in a phase with a Fermi surface. This constraint is entirely non-perturbative and a strong form of symmetry-enforced gaplessness. We construct this symmetry in fermionic quantum lattice models on a $d$-dimensional Bravais lattice, and it is generated by a U(1) fermion-number symmetry and Majorana translation symmetry. The resulting symmetry group is an infinite-dimensional non-abelian Lie group closely related to the Onsager algebra. We will comment on the topology of these symmetry-enforced Fermi surfaces and the UV symmetry's relation to the IR LU(1) symmetry of ersatz Fermi liquids. (This talk is based on ongoing work with Shu-Heng Shao and Luke Kim.)

A two-scale blockage correction for an array of tidal turbines
Dehtyriov, D Vogel, C Willden, R International Marine Energy Journal volume 8 issue 1 101-108 (31 May 2025)
Subscribe to