Supersymmetric dualities beyond the conformal window

G.S. Vartanov; V.P. Spiridonov

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Supersymmetric dualities beyond the conformal window

V.P. Spiridonov, G.S. Vartanov

High Energy Physics - Theory · Submitted 31 Mar 2010

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

The authors' main claim Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for $\mathcal{N}=1$ supersymmetric field theories outside the conformal windows.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.09 · mentions code or data availability 0.02.

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Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for $\mathcal{N}=1$ supersymmetric field theories outside the conformal windows. These theories are physically distinguished by the presence of chiral superfields with small or negative $R$-charges.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for $\mathcal{N}=1$ supersymmetric field theories outside the conformal windows.	contribution 1.00	0.95	0.67	asserted 1.00
s1	These theories are physically distinguished by the presence of chiral superfields with small or negative $R$-charges.	interpretation 0.39	0.25	0.13	asserted 1.00

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The paper

Original abstract

Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for $\mathcal{N}=1$ supersymmetric field theories outside the conformal windows. These theories are physically distinguished by the presence of chiral superfields with small or negative $R$-charges.

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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

Rigid Supersymmetric Theories in Curved Superspace
hep-th 2011-05 accept novelty 8.0 of 10

A uniform, simpler method for putting rigid supersymmetric theories on curved manifolds, worked out explicitly for AdS4, S4, S3 x R, S3 x S1, and S3.
Localization on Hopf surfaces
hep-th 2014-05 conditional novelty 7.0 of 10

The localized partition function on a Hopf surface equals the supersymmetric index times an exact prefactor set by the complex structure moduli and the anomaly coefficients a and c.
Gauge Theories and Macdonald Polynomials
hep-th 2011-10 conditional novelty 7.0 of 10

In special limits, the N=2 superconformal index of any A-type class S quiver is conjectured to be a sum over SU(k) representations whose structure constants are diagonal in a basis of Macdonald polynomials.
Elliptic hypergeometry of supersymmetric dualities
hep-th 2009-10 conditional novelty 7.0 of 10

Seiberg-dual N=1 gauge theories are mapped onto elliptic hypergeometric integrals, turning index equalities into a catalogue of proven and conjectured integral identities and yielding new dual pairs.

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9 arXiv papers cite this in 12 sentences

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Papers citing it · 9 sentences without a confident label

Cites it as background 3 papers

There remain many other provocative claims for new dualities [ref] that await scrutiny.

The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals · Introduction · 0.85
The supersymmetric index was introduced in [ref] in the context of superconformal field theories, and has been used in [ref] (and many others) to test non-perturbative dualities.

Localization on Hopf surfaces · Introduction · 0.98
There are also other types of reduction of the indices and dualities, e.g., those leading to dualities outside the conformal windows [ref] .

Elliptic hypergeometry of supersymmetric dualities · Conclusion · 0.87

What it cites · 14 sentences without a confident label

Cites as background 2 papers

The key idea of Römelsberger [ref] on the equality of SC indices ([ref]) for the Seiberg dual theories was realized first by Dolan and Osborn for a number of examples [ref] .

Calculating the Superconformal Index and Seiberg Duality · Introduction · 0.84
A full list of presently known dualities of such type for simple gauge groups $G_c=SU(N), SP(2N), G_2$ is given in [ref] .

Elliptic hypergeometry of supersymmetric dualities · Introduction · 0.88

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