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On the Class $\mathcal{S}$ Origin of Spindle Solutions
High Energy Physics - Theory · Submitted 11 Apr 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$.
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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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The abstract, sentence by sentence
We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. | contribution 0.98 | 0.92 | 0.06 | asserted 0.75 |
| s1 | We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. | result 0.91 | 0.95 | 0.15 | asserted 1.00 |
| s2 | Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. | interpretation 0.96 | 0.81 | 0.66 | asserted 0.93 |
| s3 | Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. | contribution 0.93 | 0.96 | 0.08 | asserted 1.00 |
| s4 | This work paves the way for advancements in the study and identification of the precise dual field theories. | future work 0.86 | 0.20 | 0.10 | asserted 0.50 |
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The paper
Original abstract
We analyse the backreacted geometry corresponding to a stack of M5-branes wrapped on a spindle, with a view towards precision tests of the dual $\mathcal{N} = 1$ superconformal field theory. We carefully study the singular loci of the uplifted geometry and show that these correspond to $\mathbf{C}^3/\mathbf{Z}_n$ conical singularities. Therefore, these solutions present one of the first explicit realisations of honest locally $\mathcal{N} = 1$ preserving punctures in class $\mathcal{S}$. Additionally, we study the symmetries and anomalies of the dual field theory through anomaly inflow and compute a variety of holographic observables including dimensions of BPS operators. This work paves the way for advancements in the study and identification of the precise dual field theories.
Human review
References
How the literature uses it
5 arXiv papers cite this in 10 sentences
Papers citing it · 5 sentences without a confident label
Compares with it 2 papers
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This situation is entirely analogous with [ref] .
Holographic Generalised Gukov-Witten Defects · 1/4- and 1/8-BPS defects · 1.00
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This is similar to the M5-brane case as explained in [ref] .
A geometric dual of F-maximization in massive type IIA · D4-branes wrapped on a spindle · 0.81
Cites it as background 2 papers
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In particular, starting with [ref] , there is a wide variety of supersymmetric solutions involving two-dimensional orbifolds known as spindles [ref] .
Spindle solutions with hyperscalars in $D=4$ gauged supergravity · Introduction · 0.95
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See [ref] for a necessarily incomplete set of references.
Holographic Generalised Gukov-Witten Defects · Introduction · 1.00
What it cites · 76 sentences without a confident label
Uses the method or tool of 18 papers
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Following [ref] we may solve for the roots and the parameters $q_i$ in terms of the integer magnetic charges and orbifold weights.
M5-branes wrapped on a spindle · Spindle fixed points · 0.82
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However, using the newly developed tools of equivariant localisation in supergravity [ref] it should nonetheless be possible to extract a wealth of information from a careful local analysis of the relevant singularities.
Localization and Attraction · Introduction and summary · 0.98
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However, using the newly developed tools of equivariant localisation in supergravity [ref] it should nonetheless be possible to extract a wealth of information from a careful local analysis of the relevant singularities.
Equivariant localization in supergravity · Introduction and summary · 0.98
Uses data or values from 1 paper
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[This table is modified from Table 5 in [ref] .]
5D and 6D SCFTs from $\mathbb{C}^3$ orbifolds · Flavour symmetries from punctures · 0.94
Compares with 21 papers
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Hence, the resulting expression for the conformal $a$-anomaly manifestly agrees with [ref] .
M5-branes wrapped on a spindle · Anomaly inflow · 0.96
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Hence, the resulting expression for the conformal $a$-anomaly manifestly agrees with [ref] .
Equivariant localization in supergravity · Anomaly inflow · 0.96
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Hence, the resulting expression for the conformal $a$-anomaly manifestly agrees with [ref] .
Equivariant localization for AdS/CFT · Anomaly inflow · 0.96
Cites as support 1 paper
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This form is motivated by the localisation results in [ref] .
Equivariant localization for AdS/CFT · M2 branes ending on M5 branes · 0.97
Cites as background 29 papers
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The relevant spindle solutions were constructed in maximal $(6)$ gauged supergravity in [ref] while the disc solutions were constructed in [ref] with a variety of generalisations considered in [ref] .
Marginally deformed AdS$_5$/CFT$_4$ and spindle-like orbifolds · Introduction and summary · 0.90
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The relevant spindle solutions were constructed in maximal $(6)$ gauged supergravity in [ref] while the disc solutions were constructed in [ref] with a variety of generalisations considered in [ref] .
Marginally deformed AdS$_5$/CFT$_4$ Backgrounds in Type IIB · Introduction and summary · 0.90
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The relevant spindle solutions were constructed in maximal $(6)$ gauged supergravity in [ref] while the disc solutions were constructed in [ref] with a variety of generalisations considered in [ref] .
Holographic Duals of Argyres-Douglas Theories · Introduction and summary · 0.90
Discussion
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