Adam Nahum: Replica field theory approaches to entanglement transitions Room: Three Physicists amphitheatre

Theodore Jacobson: Gauging C on the Lattice Room: Three Physicists amphitheatre We will discuss general aspects of charge conjugation symmetry in Euclidean lattice field theories including its dynamical gauging. As an application, we construct O(2) gauge theory on the lattice using a non-abelian generalization of the Villain formulation. This lattice discretization preserves a myriad of generalized global symmetries of the continuum theory, and we describe how to construct the associated symmetry operators and discuss their implications and associated selection rules.

Lukasz Fidkowski: Symmetry Protected Topological Phases and Quantum Cellular Automata Room: Three Physicists amphitheatre

Rajath Radhakrishnan: Anomaly matching for bosonic and fermionic 1-form symmetries Room: Three Physicists amphitheatre I will describe some special properties of (non-invertible) 1-form symmetries of 2+1d QFTs implemented by bosonic and fermionic topological line operators. I will give a complete classification of such symmetries. I will use this classification to study RG flows preserving such symmetries.

Hersh Singh: Fermionic anomalies on the lattice and generalized Ginsparg-Wilson relations Room: Three Physicists amphitheatre

Guilherme Delfino: Gauging finite modulated symmetries in 1+1D Room: Three Physicists amphitheatre Modulated symmetries, which naturally arise in multipole-conserving theories, are characterized by a non-trivial interplay between space and internal symmetry groups. These symmetries lead to ultraviolet/infrared (UV/IR) mixing and impose constraints on the system's dynamics. In this talk, we explore the gauging of finite Abelian modulated symmetries in 1+1 dimensions, investigate the symmetries of the dual theories, and identify the emergence of non-invertible mirror symmetries.

Emilie Huffman: Conformally Symmetric Views from a Fuzzy Sphere Room: Three Physicists amphitheatre

Sungwoo Hong: Non-invertible Naturalness Room: Three Physicists amphitheatre We will discuss non-invertible chiral symmetries in the Standard Model and its motivated extensions. These newly found generalized symmetries include non-invertible lepton number, non-invertible Peccei-Quinn symmetry, and non-invertible axion shift symmetries. They provide new ways to think about naturalness questions in particle physics. We will discuss new solutions to the strong-CP problem, smallness of neutrino mass, and axion domain wall problem.

Emily Nardoni: Dimensionally Reducing Generalized Symmetries from 4d Room: Three Physicists amphitheatre

Arkya Chatterjee: Self-dual criticality in Z_{k ≥ 4} gauge theory with matter Room: Three Physicists amphitheatre We study the putative multicritical point in 2+1D Z_k gauge theory where the Higgs and confinement transitions meet. The e-m duality symmetry at this critical point forces anyons with nontrivial braiding to close their gaps simultaneously, giving rise to a critical theory that mixes strong interactions with mutual statistics. An effective U(1) × U(1) gauge theory with a mutual Chern-Simons term at level k is proposed to describe the vicinity of the multicritical point for k ≥ 4. We argue analytically that monopoles are irrelevant in the IR CFT, indicating the emergence of U(1) (0-form) global symmetries, and compute the scaling dimensions of the leading duality-symmetric and anti-symmetric operators. This is based on work in collaboration with Zhengyan Darius Shi [arXiv:2407.07941].

Alessandro Podo: Positivity and analyticity without Lorentz invariance Room: Three Physicists amphitheatre I will describe the analytic structure and positivity properties of the perturbative S-matrix of a class of relativistic superfluids. Motivated by this I will then discuss non-perturbative analyticity properties of correlators of relativistic QFTs in non-trivial backgrounds, including finite density and curved spacetime.

Saranesh Prembabu: Exotic Transitions in Boundary Conformal Field Theory Room: Three Physicists amphitheatre Decades of research have revealed a deep understanding of topological quantum matter with protected edge modes. In this talk I discuss how even richer boundary physics emerges when tuning between topological phases of matter whose respective edge modes are incompatible, a hitherto unexplored regime. In a minimal case study I consider a 1+1D gapless theory (moreover, a “gapless SPT”) representing a phase transition from one nontrivial SPT phase to another. Using boundary CFT techniques I reveal how its edge modes display a non-Landau boundary critical transition constituting a 0+1D version of the exotic phenomenon of deconfined quantum criticality with an emergent symmetry relating boundary and bulk.

Shu-Heng Shao: Tensor networks for non-invertible symmetries Room: Three Physicists amphitheatre We will discuss the tensor network presentation for exact non-invertible symmetries of various lattice models, ranging from the Ising model to discrete lattice gauge theories.

Salvatore Pace: Topological holography and spacetime symmetry Room: Three Physicists amphitheatre Topological holography is a powerful framework in which the symmetries of a d-dimensional quantum many-body system are separated from its dynamics using a d+1 dimensional topological field theory (TFT) called the Symmetry TFT (SymTFT). Thus far, research on topological holography has focused on internal (generalized) symmetries. In this talk, I will discuss a proposal towards incorporating spacetime symmetries into the topological holography picture by having the SymTFT be a topological order enriched by spacetime symmetry (i.e., a nontrivial SET). As a demonstration, I will discuss this proposal and its applications in the context of Lieb-Schultz-Mattis anomalies and (non-invertible) dipole symmetries that occur in simple 1+1D quantum spin chains.

Ryan Lanzetta: Bootstrapping the magnetic line defect of the 3d Ising CFT Room: Three Physicists amphitheatre I will present conformal bootstrap calculations aimed at the magnetic "pinning field" line defect of the 3d Ising CFT, including bounds on its defect g-function, the scaling dimensions of various defect-changing operators, and OPE coefficients. By including the endpoints of this defect as external operators in our bootstrap setup, together with known bulk operators, we are able to use standard numerical bootstrap techniques to obtain the bounds. An interesting physical result that follows from our bounds is that stable spontaneous symmetry breaking is forbidden in the non-simple defect obtained by taking the direct sum over the sign of the pinning field perturbation.

Sandip Maiti: A qubit regularization of asymptotic freedom at the BKT transition without fine-tuning Room: Three Physicists amphitheatre We will discuss a novel regularization of the asymptotically free massive continuum QFT that emerges at the BKT transition through a hard core loop-gas model, discussing the advantages this model compared to traditional regularizations.