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Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra

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Marco Bertolini, Ilarion V. Melnikov, M. Ronen Plesser

High Energy Physics - Theory · Submitted 31 May 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We present examples where the structure of the chiral algebra is incompatible with unitarity of the IR superconformal theory and discuss the implications of this result for programs of classifying (0,2) SCFTs as endpoints of flows from simple Lagrangian theories.

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arXiv ID2106.00105 (version 2)
Pith ID4TFVZB2N, Pith's permanent record of this paper and its review
CitationIlarion V. Melnikov, Marco Bertolini, M. Ronen Plesser. "Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra." arXiv:2106.00105 (2021). https://pith.science/paper/4TFVZB2N
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,020 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.48 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.12 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; .

We discuss renormalization group flows in two-dimensional quantum field theories with (0,2) supersymmetry. We focus on theories with UV described by a Landau-Ginzburg Lagrangian and use the chiral algebra to constrain the IR dynamics. We present examples where the structure of the chiral algebra is incompatible with unitarity of the IR superconformal theory and discuss the implications of this result for programs of classifying (0,2) SCFTs as endpoints of flows from simple Lagrangian theories.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We discuss renormalization group flows in two-dimensional quantum field theories with (0,2) supersymmetry. background 0.92 0.35 0.03 asserted 0.65
s1 We focus on theories with UV described by a Landau-Ginzburg Lagrangian and use the chiral algebra to constrain the IR dynamics. method 0.89 0.87 0.05 asserted 0.93
s2 We present examples where the structure of the chiral algebra is incompatible with unitarity of the IR superconformal theory and discuss the implications of this result for programs of classifying (0,2) SCFTs as endpoints of flows from simple Lagrangian theories. result 0.80 0.92 0.83 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.66.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We discuss renormalization group flows in two-dimensional quantum field theories with (0,2) supersymmetry. We focus on theories with UV described by a Landau-Ginzburg Lagrangian and use the chiral algebra to constrain the IR dynamics. We present examples where the structure of the chiral algebra is incompatible with unitarity of the IR superconformal theory and discuss the implications of this result for programs of classifying (0,2) SCFTs as endpoints of flows from simple Lagrangian theories.

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2 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Cites it as background 1 paper
  • A pedagogical discussion is given in [ref] , and subtleties in (0,2) applications are pointed out in [ref] .] This is a structure that exists in any (0,2) quantum field theory, and in favorable circumstances we can assume that it is isomorphic to the cohomology of the right-moving supercharge $G^+_-1/2$ of the IR SCFT.

    Marginal deformations of Calabi-Yau hypersurface hybrids with (2,2) supersymmetry · A chiral algebra perspective · 0.97

What it cites · 38 sentences without a confident label

Cites as background 10 papers
  • In the language of [ref] this is the “$$–multiplet”, with components [equation] When the ideal $$ is quasi-homogeneous, there are $k$ current multiplets with components [equation] Using the superspace equations of motion [equation] and their conjugates, it is easy to check that [equation] These conditions are the defining relations of the $$-multiplet and current multiplets in (0,2) theories [ref] .

    Supercurrents and Brane Currents in Diverse Dimensions · Symmetries and charges · 0.80

  • In the language of [ref] this is the “$$–multiplet”, with components [equation] When the ideal $$ is quasi-homogeneous, there are $k$ current multiplets with components [equation] Using the superspace equations of motion [equation] and their conjugates, it is easy to check that [equation] These conditions are the defining relations of the $$-multiplet and current multiplets in (0,2) theories [ref] .

    Chiral algebras in Landau-Ginzburg models · Symmetries and charges · 0.80

  • The fact that there can be accidental symmetries in the IR theory, and that these can, by mixing with the UV R-symmetry, invalidate predictions about the IR theory based on the UV symmetries has been known for a long time [ref] .

    Relevant deformations and c-extremization · The KMV algebra in cohomology · 0.86

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