RECORD
Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
High Energy Physics - Theory · Submitted 8 Oct 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the $4d$ sequence of models along with their symmetry enhancements, and put them to several consistency checks.
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
The abstract, sentence by sentence
We consider a known sequence of dualities involving $4d$ ${\cal N}=1$ theories with $Spin(n)$ gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the $4d$ sequence of models along with their symmetry enhancements, and put them to several consistency checks.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a known sequence of dualities involving $4d$ ${\cal N}=1$ theories with $Spin(n)$ gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. | contribution 0.97 | 0.85 | 0.28 | asserted 1.00 |
| s1 | Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the $4d$ sequence of models along with their symmetry enhancements, and put them to several consistency checks. | contribution 0.96 | 0.86 | 0.43 | speculative 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We consider a known sequence of dualities involving $4d$ ${\cal N}=1$ theories with $Spin(n)$ gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the $4d$ sequence of models along with their symmetry enhancements, and put them to several consistency checks.
Human review
References
How the literature uses it
13 arXiv papers cite this in 22 sentences
Papers citing it · 14 sentences without a confident label
Compares with it 2 papers
-
The $6d$ lift for this case was conjectured by [ref] , and our results from geometry match this conjecture.
Classification of 5d N=1 gauge theories · $(14)$: · 0.98
-
This enhancement of symmetry is very reminiscent of the ones discussed in [ref] in 4d where it was understood in terms of reductions of 6d models.
Star shaped quivers with flux · The case of $=3$ · 0.92
Cites it as background 5 papers
-
The study of such compactifications was done mostly in the context of reductions of $6d$ SCFTs, for both $(2,0)$ [ref] and $(1,0)$ supersymmetry [ref] (see also [ref] for a recent review).
Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs · Introduction · 0.99
-
These are obtained by putting the $6d$ SCFT on a Riemann surface [ref] possibly with a choice of background fields, fluxes, for the global symmetry [ref] .[This idea can be generalized to reductions to lower dimensions, see e.g [ref] .] The geometric construction of the $4d$ models gives us a systematic way to understand IR dualities, conformal dualites, and emergence of symmetry, see [ref] for some examples.
SQCD and pairs of pants · Introduction · 0.96
-
These have been studied for 6d $(1,0)$ theories [ref] , for 5d $𝒩=1$ theories [ref] , for 4d $𝒩=1$ theories [ref] and for 3d $𝒩=2$ theories [ref] .
5d to 3d compactifications and discrete anomalies · Introduction · 0.96
What it cites · 95 sentences without a confident label
Builds on 2 papers
-
This analysis is analogous to the one performed in [ref] for the sequence of self dualities with $Spin(n+4)$ ($1≤n≤8$) gauge groups (first appeared in [ref] ), and extends it to the $Spin(n+8)$ sequence mentioned above.
Curious patterns of IR symmetry enhancement · Introduction · 0.96
-
This analysis is analogous to the one performed in [ref] for the sequence of self dualities with $Spin(n+4)$ ($1≤n≤8$) gauge groups (first appeared in [ref] ), and extends it to the $Spin(n+8)$ sequence mentioned above.
Self-Dual N=1 SUSY Gauge Theories · Introduction · 0.96
Uses the method or tool of 10 papers
-
As suggested in [ref] , we can do it by considering the $5d$ versions of the $4d$ theories[By the $5d$ versions we mean taking the matter content of the $4d$ $N = 1$ theories and replacing it with the $5d$ $N=1$ one, so that $4d$ chiral fields become $5d$ hypermultiplets and so forth.], investigate their UV behavior and check whether there is a $6d$ completion of them, that is $6d$ SCFTs that when compactified on a circle yield these $5d$ theories.
E-String Theory on Riemann Surfaces · Symmetry enhancement in Spin(n+4) models and compactification from 6d · 0.81
-
As suggested in [ref] , we can do it by considering the $5d$ versions of the $4d$ theories[By the $5d$ versions we mean taking the matter content of the $4d$ $N = 1$ theories and replacing it with the $5d$ $N=1$ one, so that $4d$ chiral fields become $5d$ hypermultiplets and so forth.], investigate their UV behavior and check whether there is a $6d$ completion of them, that is $6d$ SCFTs that when compactified on a circle yield these $5d$ theories.
D-type Conformal Matter and SU/USp Quivers · Symmetry enhancement in Spin(n+4) models and compactification from 6d · 0.81
-
As suggested in [ref] , we can do it by considering the $5d$ versions of the $4d$ theories[By the $5d$ versions we mean taking the matter content of the $4d$ $N = 1$ theories and replacing it with the $5d$ $N=1$ one, so that $4d$ chiral fields become $5d$ hypermultiplets and so forth.], investigate their UV behavior and check whether there is a $6d$ completion of them, that is $6d$ SCFTs that when compactified on a circle yield these $5d$ theories.
Compactifications of ADE conformal matter on a torus · Symmetry enhancement in Spin(n+4) models and compactification from 6d · 0.81
Compares with 2 papers
-
This is different from the construction of [ref] which involves only one copy, and results in an enhancement of the symmetry from $SU(8)$ in the UV to $E_7×U(1)$ in the IR.].
Between symmetry and duality in supersymmetric QFT · Introduction · 0.99
-
Note the close resemblance with the result [ref] of [ref] , and in particular the breaking of one of the $SU(2)$ groups to $U(1)$ in the $n=2$ case.
Curious patterns of IR symmetry enhancement · Summary of the symmetry enhancements · 1.00
Cites as support 1 paper
-
This corresponds to the fact that the flux preserves only $𝒩=1$ supersymmetry in $4d$ [ref] .
4d N=1 from 6d (1,0) · Compactification from six dimensions · 0.96
Cites as background 11 papers
-
We begin in section [ref] with a review of the superconformal index and its computation, and briefly describe the results of [ref] that will be useful for the rest of the paper.
Curious patterns of IR symmetry enhancement · Introduction · 0.89
-
This global symmetry is expected to be inherited by the $4d$ theory, though part of it may be broken by the flux and other discrete options having to do with coupling to non-trivial flavor backgrounds (see for instance [ref] ).
Compactifications of 6d $N = (1, 0)$ SCFTs with non-trivial Stiefel-Whitney classes · Aspects of the reduction · 0.80
-
This global symmetry is expected to be inherited by the $4d$ theory, though part of it may be broken by the flux and other discrete options having to do with coupling to non-trivial flavor backgrounds (see for instance [ref] ).
4d N=1 from 6d N=(1,0) on a torus with fluxes · Aspects of the reduction · 0.80
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.