Seminars and discussions on Physics of Fractons
Time zone is CET
17.00 - 17.05: short break
17.05 - 17.50: Kevin Slagle (Caltech)
17.50 - 18.00: break
18.00-19.00 discussion moderated by Jan de Boer (Amsterdam)
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Titles and abstracts:
Speaker: Shu-Heng Shao
Abstract: We consider various standard and exotic lattice models, and rewrite them using the Villain approach. We then modify them to a convenient range of parameters. The new lattice models exhibit many properties that were previously thought to be exclusive to the continuum field theories. These include exact winding/magnetic symmetries, anomalies, and new dualities. We apply this approach to the standard XY model, gauge theories, and exotic models related to fractons.
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Speaker: Andreas Karch
Title: Conformal Subsystem Symmetries
Abstract: Fracton phases of matter have been a recent topic of much
interest in the condensed matter and quantum information communities.
After giving a brief perspective of what aspects of these constructions
have started to fascinate particle physicists, I'll discuss recent work
with Amir Raz on the novel conformal structures found in the continuum
description of these models.
Abstract: Fracton phases of matter have been a recent topic of much
interest in the condensed matter and quantum information communities.
After giving a brief perspective of what aspects of these constructions
have started to fascinate particle physicists, I'll discuss recent work
with Amir Raz on the novel conformal structures found in the continuum
description of these models.
----
Speaker: Kevin Slagle
Abstract:
Fracton models are a new class models where the particle excitations and gauge invariant operators have mobility and rigidity constraints. These mobility/rigidity constraints depend some sort of non-Lorentzian spacetime structure, but this structure is not described by a Riemannian metric for the gapped fracton models (which were originally written as lattice models).
I will introduce a new kind of quantum field theory (QFT), a foliated QFT, that describes a large class of gapped fracton models. Instead of coupling to a Riemann metric, a foliated QFT is coupled to multiple non-dynamical spacetime foliations via a constraint on the gauge fields. The previously-mentioned mobility and rigidity constraints are determined by this foliation structure. This is based on arXiv:2008.03852.
I will also discuss the non-Lorentzian geometry of gapless fracton models. Many gapless models can be coupled to a curved Riemannian metric. However, I will argue that certain kinds of curved Riemannian manifolds are inconsistent with the fracton and planon mobility constraints, which places constraints on the metric. For example, the most resilient model appears to be the traceless scalar theory, which can only be defined on Einstein manifolds (with a spatially dependent cosmological constant). This is based on arXiv:1807.00827.
