Exactly Marginal Deformations of N=4 SYM and of its Supersymmetric Orbifold Descendants

Ofer Aharony; Shlomo S. Razamat

RECORD

Exactly Marginal Deformations of N=4 SYM and of its Supersymmetric Orbifold Descendants

Ofer Aharony, Shlomo S. Razamat

High Energy Physics - Theory · Submitted 4 Apr 2002

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

The authors' main claim We find some cases where the space of perturbative exactly marginal deformations is smaller than the prediction of the general analysis at least up to three-loop order), and other cases where the perturbative result (at low orders) has a non-generic form.

how it is stated · asserted 0.99 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-th/0204045 (version 2)

Pith IDBXECPHJH, Pith's permanent record of this paper and its review

CitationOfer Aharony, Shlomo S. Razamat. "Exactly Marginal Deformations of N=4 SYM and of its Supersymmetric Orbifold Descendants." arXiv:hep-th/0204045 (2002). https://pith.science/paper/BXECPHJH

Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,925 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.88 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.51 · compares with prior results 0.80 · 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.

In this paper we study exactly marginal deformations of field theories living on D3-branes at low energies. These theories include N=4 supersymmetric Yang-Mills theory and theories obtained from it via the orbifolding procedure. We restrict ourselves only to orbifolds and deformations which leave some supersymmetry unbroken. A number of new families of N=1 superconformal field theories are found. We analyze the deformations perturbatively, and also by using general arguments for the dimension of the space of exactly marginal deformations. We find some cases where the space of perturbative exactly marginal deformations is smaller than the prediction of the general analysis at least up to three-loop order), and other cases where the perturbative result (at low orders) has a non-generic form.

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	In this paper we study exactly marginal deformations of field theories living on D3-branes at low energies.	contribution 0.92	0.87	0.03	asserted 0.93
s1	These theories include N=4 supersymmetric Yang-Mills theory and theories obtained from it via the orbifolding procedure.	background 0.92	0.12	0.03	asserted 1.00
s2	We restrict ourselves only to orbifolds and deformations which leave some supersymmetry unbroken.	limitation 0.98	0.67	0.03	asserted 0.93
s3	A number of new families of N=1 superconformal field theories are found.	result 0.99	0.95	0.56	asserted 1.00
s4	We analyze the deformations perturbatively, and also by using general arguments for the dimension of the space of exactly marginal deformations.	method 0.99	0.95	0.06	asserted 0.99
s5	We find some cases where the space of perturbative exactly marginal deformations is smaller than the prediction of the general analysis at least up to three-loop order), and other cases where the perturbative result (at low orders) has a non-generic form.	result 1.00	0.96	0.42	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
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

In this paper we study exactly marginal deformations of field theories living on D3-branes at low energies. These theories include N=4 supersymmetric Yang-Mills theory and theories obtained from it via the orbifolding procedure. We restrict ourselves only to orbifolds and deformations which leave some supersymmetry unbroken. A number of new families of N=1 superconformal field theories are found. We analyze the deformations perturbatively, and also by using general arguments for the dimension of the space of exactly marginal deformations. We find some cases where the space of perturbative exactly marginal deformations is smaller than the prediction of the general analysis at least up to three-loop order), and other cases where the perturbative result (at low orders) has a non-generic form.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
hep-th 2005-02 accept novelty 8.0 of 10

An SL(2,R) transformation on the two-torus modulus of a known gravity dual generates the exact supergravity solution for the beta-deformed field theory.
String theory dual of the beta-deformed gauge theory
hep-th 2006-03 conditional novelty 6.0 of 10

The authors construct a doubly periodic, SL(2,Z) covariant string dual by replacing the deformation parameter in the Lunin-Maldacena background with an elliptic function.
Lax Pair for Strings in Lunin-Maldacena Background
hep-th 2005-03 accept novelty 6.0 of 10

A T-duality-shift-T-duality transformation produces a local, periodic Lax pair for the bosonic string in the Lunin-Maldacena beta-deformed background, establishing integrability of the deformed sigma model.
Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
hep-th 2010-12 accept novelty 2.0 of 10

Across the deformations, orbifolds and open-chain setups surveyed, all-loop integrability survives only where the bulk spin chain is undeformed N=4 SYM and the difference sits in twisted, orbifold or open boundary conditions.

How the literature uses it

5 arXiv papers cite this in 6 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 · 4 sentences without a confident label

Cites it as support 1 paper

In principle it could happen that higher order corrections lift this degeneracy, but this did not happen is some examples: in an $=2$ orbifold of $=4$ studied in [ref] this phenomena was seen first and it was shown to persist at least up to third order; in a scalar theory (subsection [ref]) it is known that there are no exactly marginals, to all orders.

On Conformal Deformations II · Summary of method · 0.96

Cites it as background 1 paper

Explicit examples of such CFTs are $=4$ SYM in $d=4$, which has three exactly marginal scalar operators [ref] , and ABJM theory, where the Chern-Simons level, or equivalently the 't Hooft coupling, is exactly marginal.

A First Law of Entanglement Rates from Holography · Massless Scalars · 0.89

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.