arXiv subjects

Daniele Migliorati

Publications and source records attributed to Daniele Migliorati.

4 recordsLinked to original sources

arXiv2026

On the SymTFTs of Finite Non-Abelian Symmetries

The $(D+1)$-dimensional symmetry topological field theory (SymTFT$_{D+1}$) of a $D$-dimensional absolute quantum field theory (QFT$_D$) provides a topological characterization of symmetry data. In this framework, the SymTFT comes equipped with a physical boundary specifying a relative QFT, and a topological boundary which specifies the global form of symmetries. In general, there need not be a unique bulk theory which encodes this information but it is often helpful to have a more manifest presentation of symmetries in terms of bulk degrees of freedom. For the case of a finite non-Abelian symmetry group $G$, the bulk SymTFT may be described by a Dijkgraaf-Witten TFT with gauge group $G$. This makes manifest the ``electric'' presentation of the symmetry data but can obscure some of the magnetic data as well as non-Abelian structure present in the absolute QFT$_D$ such as symmetry operators which cannot fully detach from the topological boundary. We address these issues for 3D SymTFTs by constructing discrete BF-like theory Lagrangians for finite groups which admit a presentation as an extension by a finite Abelian group and a finite (possibly non-Abelian) group. This enables us to give a streamlined approach to reconstructing the fusion rules of the accompanying Drinfeld center, but also allows us to construct surface-attaching non-genuine line operators associated directly with non-Abelian group elements rather than just their conjugacy classes. We also sketch how our treatment generalizes to higher-dimensional SymTFTs.

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arXiv2025

Duality-Symmetry Enhancement in Maxwell Theory

Free Maxwell theory on general four-manifolds may, under certain conditions on the background geometry, exhibit holomorphic factorization in its partition function. We show that when this occurs, new discrete symmetries emerge at orbifold points of the conformal manifold. These symmetries, which act only on a sublattice of flux configurations, are not associated with standard dualities, yet they may carry 't Hooft anomalies, potentially causing the partition function to vanish even in the absence of apparent pathologies. We further explore their non-invertible extensions and argue that their anomalies can account for zeros of the partition function at smooth points in the moduli space.

hep-th↗

arXiv2024

The $SL_2(\mathbb{R})$ duality and the non-invertible $U(1)$ symmetry of Maxwell theory

Recent proposals for the Symmetry Topological Field Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical $SL_2(\mathbb{R})$ duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we detail their effects on the dynamical theory and its global variants. In the process, we show that the classical $U(1)$ symmetry, corresponding to the stabilizer of $SL_2(\mathbb{R})$, can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provides an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing "continuous" condensates that trivialize all line operators.

hep-th↗

arXiv2024

Emergent Non-Invertible Symmetries Bridging UV and IR Phases -- The Adjoint QCD Example

In this letter, we demonstrate how an emergent non-invertible symmetry along a renormalization group (RG) flow reveals connections between microscopic and macroscopic physics. We illustrate this using (3+1)-dimensional Adjoint QCD with two flavors of Weyl fermions as an example. For the $\mathrm{SU}(2)$ case, Córdova and Dumitrescu proposed a non-supersymmetric deformation of the $\mathcal{N}=2$ SYM theory leading to dynamical abelianization, followed by monopole condensation, and resulting in a confining infrared (IR) phase characterized by disjoint copies of the $\mathbb{CP}^1$ sigma model. In this scenario, we point out that the abelianized phase has an emergent non-invertible symmetry, which is matched with the non-invertible symmetry of the IR $\mathbb{CP}^1$ phase, associated to the Hopf solitons. This result illustrate how an emergent non-invertible symmetry can be used to provide a bridge connecting the IR solitons and their properties with the ones of microscopic degrees of freedom in gauge theories with one-form symmetries. Moreover, based on this insight we generalize these results to other gauge theories with any number of colors, and propose a candidate for the UV baryon operator in all these cases.

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