Supersymmetric lattices - a brief introduction

Simon Catterall

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Supersymmetric lattices - a brief introduction

Simon Catterall

High Energy Physics - Lattice · Submitted 24 Sep 2009

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

The authors' main claim These theories are local and free of doublers and in the case of Yang-Mills theories also possess exact gauge invariance.

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,888 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries. These theories are local and free of doublers and in the case of Yang-Mills theories also possess exact gauge invariance. In this talk these ideas are reviewed with particular emphasis being placed on ${\cal N}=4$ super Yang-Mills theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries.	background 0.95	0.10	0.18	asserted 1.00
s1	These theories are local and free of doublers and in the case of Yang-Mills theories also possess exact gauge invariance.	result 0.47	0.16	0.21	asserted 1.00
s2	In this talk these ideas are reviewed with particular emphasis being placed on ${\cal N}=4$ super Yang-Mills theory.	contribution 0.92	0.27	0.10	asserted 0.90

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.87.

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arXiv listing abstract v2

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figures and tables
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S sections
T body sentences
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R cross-paper relations

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

Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries. These theories are local and free of doublers and in the case of Yang-Mills theories also possess exact gauge invariance. In this talk these ideas are reviewed with particular emphasis being placed on ${\cal N}=4$ super Yang-Mills theory.

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1 arXiv paper cite this in 1 sentence

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

Cites it as background 1 paper

The novel large-$N$ reduction can, therefore, give a non-perturbative regularization of gauge theories that respects both supersymmetry and the gauge symmetry[For recent developments in lattice approach to supersymmetric gauge theories, see [ref] and references therein.].

A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory · Introduction · 0.88

What it cites · 12 sentences without a confident label

Cites as background 6 papers

Two approaches have been pursued to produce such supersymmetric actions; one based on ideas drawn from the field of topological field theory [ref] and another pioneered by David B.

Lattice Supersymmetry and Topological Field Theory · Introduction · 0.90
Two approaches have been pursued to produce such supersymmetric actions; one based on ideas drawn from the field of topological field theory [ref] and another pioneered by David B.

A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry · Introduction · 0.90
Two approaches have been pursued to produce such supersymmetric actions; one based on ideas drawn from the field of topological field theory [ref] and another pioneered by David B.

Lattice Sigma Models with Exact Supersymmetry · Introduction · 0.90

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