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arxiv: 2604.15187 · v1 · submitted 2026-04-16 · ✦ hep-th

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Extraordinary Surface Criticalities for Interacting Fermions

Oleksandr Diatlyk , Zimo Sun , Yifan Wang

Authors on Pith no claims yet

Pith reviewed 2026-05-10 10:22 UTC · model grok-4.3

classification ✦ hep-th
keywords surface defectsGross-Neveu-Yukawa modelrenormalization group flowsfermionic anomaliessurface critical phenomenadefect conformal field theorytopological structuresgeometric structures in coupling space
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The pith

Certain defect renormalization group flows in the three-dimensional Gross-Neveu-Yukawa model admit exact infrared solutions that encode fermionic anomalies in surface dynamics.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper studies surface critical phenomena in systems of interacting fermions by analyzing the three-dimensional Gross-Neveu-Yukawa model. It identifies a class of defect renormalization group flows that reach exact infrared fixed points. At these fixed points the surface dynamics directly incorporate the effects of fermionic anomalies. The analysis also reveals topological and geometric patterns that arise in the space of possible defect couplings. A reader would care because exact control over these surface criticalities offers a window into phenomena that are otherwise accessible only through approximation or numerical methods.

Core claim

In the three-dimensional Gross-Neveu-Yukawa model, a class of defect renormalization group flows possesses exact infrared solutions. These solutions encode fermionic anomalies within the resulting surface dynamics. The space of defect couplings exhibits emergent topological and geometric structures, which the authors relate to a defect analogue of the CFT distance conjecture.

What carries the argument

defect renormalization group flows in the Gross-Neveu-Yukawa model, which reach exact infrared fixed points where anomalies appear in surface dynamics and geometric structures emerge in coupling space

Load-bearing premise

The renormalization group flows in the defect setup of the 3D Gross-Neveu-Yukawa model permit exact infrared solutions that encode the anomalies without requiring numerical or approximate methods.

What would settle it

A lattice Monte Carlo simulation of the three-dimensional Gross-Neveu-Yukawa model with chosen surface defects that produces infrared fixed-point values or anomaly coefficients inconsistent with the exact solutions would falsify the claim.

Figures

Figures reproduced from arXiv: 2604.15187 by Oleksandr Diatlyk, Yifan Wang, Zimo Sun.

Figure 1
Figure 1. Figure 1: FIG. 1. The extraordinary surface defect viewed as a squeezed limit [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Emergent conformal manifold of extraordinary surface de [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Fusion of normal surface defects in the GNY CFT into the extraordinary surface defect, shown in the bottom diagrams. This fusion [PITH_FULL_IMAGE:figures/full_fig_p014_3.png] view at source ↗
read the original abstract

Interacting fermions exhibit a rich landscape of surface defects and associated critical phenomena. We investigate novel surface critical behavior in the three-dimensional Gross-Neveu-Yukawa model. For a class of defect renormalization group flows, we obtain exact infrared solutions and show how fermionic anomalies are encoded in the resulting surface dynamics. We further uncover emergent topological and geometric structures in the defect coupling space, and comment on their relation to a defect analogue of the CFT distance conjecture.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript examines novel surface critical behavior in the three-dimensional Gross-Neveu-Yukawa model. For a class of defect renormalization group flows, it obtains exact infrared solutions and shows how fermionic anomalies are encoded in the resulting surface dynamics. It further identifies emergent topological and geometric structures in the defect coupling space and comments on their relation to a defect analogue of the CFT distance conjecture.

Significance. If the exact IR solutions and anomaly encoding hold without fine-tuning, the work would offer valuable benchmarks for defect CFTs in interacting fermionic systems, where exact results are rare. The emergent structures and distance-conjecture link could stimulate further exploration of geometric aspects of defects, complementing bulk CFT studies.

major comments (1)
  1. [Section on defect RG flows and exact IR solutions] The exact IR solutions are derived within a reduced subspace of defect couplings. The manuscript must demonstrate that these fixed points are attractive (or that the subspace is reached without fine-tuning) under generic perturbations in the full defect coupling space; otherwise the claimed surface criticalities and anomaly encoding would not be realized in generic flows. This stability analysis is load-bearing for the central claims.
minor comments (1)
  1. [Introduction] The abstract and introduction could include a brief comparison to prior work on surface defects in the GNY model to better contextualize the novelty of the exact solutions.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We address the major comment below.

read point-by-point responses

  1. Referee: The exact IR solutions are derived within a reduced subspace of defect couplings. The manuscript must demonstrate that these fixed points are attractive (or that the subspace is reached without fine-tuning) under generic perturbations in the full defect coupling space; otherwise the claimed surface criticalities and anomaly encoding would not be realized in generic flows. This stability analysis is load-bearing for the central claims.

    Authors: We appreciate the referee highlighting this point. Our work explicitly considers a class of defect renormalization group flows that admit exact infrared solutions, as stated in the abstract and throughout the manuscript. The claims regarding surface criticalities, anomaly encoding, and emergent structures are made within this class and do not assert that the fixed points are reached or stable under generic perturbations in the full defect coupling space. We will revise the manuscript to more explicitly delineate the scope of our results and to motivate the physical relevance of the reduced subspace (e.g., via symmetry constraints or specific lattice realizations that naturally restrict the defect couplings). A complete stability analysis in the unrestricted space would require the full set of beta functions outside the subspace, which are not known exactly and lie beyond the present exact-solution approach. revision: partial

Circularity Check

0 steps flagged

No significant circularity; exact IR solutions derived from RG equations without reduction to inputs

full rationale

The paper obtains exact infrared solutions by solving the defect renormalization group flows in the 3D Gross-Neveu-Yukawa model, then extracts anomaly encoding and emergent structures in coupling space. No quoted steps reduce a prediction to a fitted parameter by construction, invoke self-citations as load-bearing uniqueness theorems, or smuggle ansatze. The derivation chain remains self-contained against the model's beta functions and anomaly matching, with the CFT distance conjecture comment appearing as an interpretive remark rather than a foundational assumption. This is the expected outcome for an analytic RG study.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Based solely on abstract; no explicit free parameters, new entities, or ad-hoc axioms mentioned beyond the standard Gross-Neveu-Yukawa model.

axioms (1)
  • domain assumption The three-dimensional Gross-Neveu-Yukawa model is a valid effective description for the interacting fermions and surface defects under study.
    The model is invoked as the starting point for the defect RG analysis.

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Forward citations

Cited by 1 Pith paper

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  1. A Twist on Scattering from Defect Anomalies

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    Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.

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