Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy

• URL: http://arxiv.org/abs/2509.25336v2
• Date: Mon, 20 Oct 2025 14:51:46 GMT
• Title: Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy
• Authors: Hisham Sati, Urs Schreiber,
• Abstract summary: We show that proper flux quantization in 2-Cohomotopy can complete a non-Lagrangian topological completion of 5D Maxwell-Chern-Simons QFT.<n>This result is a modest cousin, with applications to topologically ordered quantum materials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the practice of physics model building, the process of renormalization, resummation, and anomaly cancellation is to incrementally repair initially ill-defined Lagrangian quantum field theories. Impressive as this is, one would rather have concisely defined complete theories to begin with, and understand these choices as emergent from fundamental principles. As an instructive example, we recall renormalization choices for Wilson loop observables in abelian Chern-Simons theory. Then we show that these emerge in a novel non-Lagrangian topological completion of 5D Maxwell-Chern-Simons QFT, by means of proper flux quantization in 2-Cohomotopy. This result is a modest cousin, with applications to topologically ordered quantum materials, of the more ambitious flux quantization of 11D supergravity in 4-Cohomotopy ("Hypothesis H").

Related papers

• Dirac-Bergmann algorithm and canonical quantization of $k$-essence cosmology [0.0]
  We develop a general canonical quantization scheme for $k$-essence cosmology in scalar-tensor theory.<n>We construct the Hamiltonian associated with the cosmological field equations and identify the first- and second-class constraints.
  arXiv  Detail & Related papers  (2026-01-23T12:44:17Z)
• Complete Topological Quantization of Higher Gauge Fields [0.0]
  topological quantum observables and quantum states of solitonic field histories are completely determined through a topological form of light-front quantization.<n>An analogous choice ("Hypothesis H") of global completion of 11D higher Maxwell-Chern-Simons theory realizes various aspects of the topological sector of the conjectural "M-theory" and its M5-branes.
  arXiv  Detail & Related papers  (2025-12-13T19:09:40Z)
• Emergence of cosmic structure from Planckian discreteness [47.03992469282679]
  In the standard paradigm the inhomogeneities observed in the CMB arise from quantum fluctuations of an initially homogeneous and isotropic vacuum state.<n>We propose an alternative paradigm in which such inhomogeneities are present from the very beginning.<n>Specifically, inhomogeneities in the quantum state at the Planck scale propagate into semiclassical inhomogeneities on CMB scales.
  arXiv  Detail & Related papers  (2025-06-18T12:33:31Z)
• Engineering of Anyons on M5-Probes via Flux Quantization [0.0]
  We develop a novel derivation of anyonic topological order on single magnetized M5-branes.<n>The rigorous construction is non-Lagrangian and non-perturbative.<n>Results imply from this the quantum observables and modular functor of abelian Chern-Simons theory.
  arXiv  Detail & Related papers  (2025-01-29T19:00:04Z)
• Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory [0.602276990341246]
  We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula.<n>This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.
  arXiv  Detail & Related papers  (2024-07-29T17:58:15Z)
• Amorphous quantum magnets in a two-dimensional Rydberg atom array [44.99833362998488]
  We propose to explore amorphous quantum magnets with an analog quantum simulator. We first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model. We then use semiclassical approaches to get a preliminary insight of the physics of the model.
  arXiv  Detail & Related papers  (2024-02-05T10:07:10Z)
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements [0.0]
  lattice gauge theories are likely limited due to the violation of the Gauss law constraint and the complexity of the real-time dynamics. We propose to simulate dynamics of lattice gauge theories by using the Kramers-Wannier transfomation via cluster-state-like entanglers. We give explicit examples with the low dimensional pure gauge theories and gauge theories coupled to bosonic/fermionic matters.
  arXiv  Detail & Related papers  (2023-05-20T20:28:02Z)
• Krylov complexity in quantum field theory, and beyond [41.99844472131922]
  We study Krylov complexity in various models of quantum field theory.<n>We find that the exponential growth of Krylov complexity satisfies the conjectural inequality, which generalizes the Maldacena-Shenker-Stanford bound on chaos.
  arXiv  Detail & Related papers  (2022-12-29T19:00:00Z)
• Fermionic approach to variational quantum simulation of Kitaev spin models [50.92854230325576]
  Kitaev spin models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions. We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation. We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
  arXiv  Detail & Related papers  (2022-04-11T18:00:01Z)
• Conformal field theory from lattice fermions [77.34726150561087]
  We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions. We show how these results lead to explicit error estimates pertaining to the quantum simulation of conformal field theories.
  arXiv  Detail & Related papers  (2021-07-29T08:54:07Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
  We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
  arXiv  Detail & Related papers  (2020-09-24T18:00:13Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.