Comments on N=2 AdS Orbifolds

Sergei Gukov

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Comments on N=2 AdS Orbifolds

Sergei Gukov

High Energy Physics - Theory · Submitted 21 Jun 1998

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

The authors' main claim Kaluza-Klein reduction on the fixed circle gives the correct conformal dimensions of operators in the superconformal theory and involves some aspects of monopole dynamics in the non-trivial background.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.09 · mentions code or data availability 0.01.

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

We discuss twisted states of AdS orbifolds which couple to N=2 chiral primary operators not invariant under exchange of the gauge factors. Kaluza-Klein reduction on the fixed circle gives the correct conformal dimensions of operators in the superconformal theory and involves some aspects of monopole dynamics in the non-trivial background. As a byproduct we found evidence for decoupling of U(1) factors in the four-dimensional gauge theory.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss twisted states of AdS orbifolds which couple to N=2 chiral primary operators not invariant under exchange of the gauge factors.	contribution 0.99	0.81	0.24	asserted 0.94
s1	Kaluza-Klein reduction on the fixed circle gives the correct conformal dimensions of operators in the superconformal theory and involves some aspects of monopole dynamics in the non-trivial background.	result 0.52	0.78	0.23	asserted 1.00
s2	As a byproduct we found evidence for decoupling of U(1) factors in the four-dimensional gauge theory.	result 1.00	0.94	0.20	asserted 0.67

What kind of paper the classifier reports this is: theoretical result 0.56 · evidence from proof or derivation 0.96.

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The paper

Original abstract

We discuss twisted states of AdS orbifolds which couple to N=2 chiral primary operators not invariant under exchange of the gauge factors. Kaluza-Klein reduction on the fixed circle gives the correct conformal dimensions of operators in the superconformal theory and involves some aspects of monopole dynamics in the non-trivial background. As a byproduct we found evidence for decoupling of U(1) factors in the four-dimensional gauge theory.

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References

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Cited by 9 Pith papers

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

The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
hep-th 2009-12 conditional novelty 8.0 of 10

The flavor-singlet sector of N=2 superconformal QCD in the Veneziano limit is conjectured to be dual to a sub-critical string background with seven geometric dimensions, AdS5 times a circle, supported by an index comp...
Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
hep-th 1998-07 accept novelty 8.0 of 10

Type IIB string theory on AdS5 x T^{1,1} is proposed to be dual to the infrared fixed point of an N=1 SU(N) x SU(N) gauge theory with two pairs of bifundamental chiral fields and a quartic superpotential.
Non-Spherical Horizons, I
hep-th 1998-10 accept novelty 7.0 of 10

Branes at a singular point of the transverse space are dual to M or IIB theory on AdS times a non-spherical horizon fixed by the singularity, and the dual field theories can be derived explicitly for orbifold, conifol...
Exploring the twisted sector of $\mathbb{Z}_{L}$ orbifolds: Matching $\alpha'$-corrections to localisation
hep-th 2025-12 unverdicted novelty 6.0 of 10

For generic Z_L orbifolds, naive reduction of the 10d (α')^3 correction fails to match localisation results for twisted half-BPS correlators except at special L values; expanding a twisted Virasoro-Shapiro amplitude r...
Analytical and numerical routes to strong coupling in $\mathcal{N}=2$ SCFTs
hep-th 2025-05 accept novelty 6.0 of 10

The authors derive the first subleading strong-coupling corrections for twisted Wilson loop correlators and an integrated correlator in the planar N=2 quiver gauge theory, and introduce a numerical integral-equation m...

Show 4 more citing papers

Relative Quantum Gravity: Localized Gravity and the Swampland
hep-th 2025-01 conditional novelty 6.0 of 10

Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
Tackling the SDC in AdS with CFTs
hep-th 2020-11 conditional novelty 6.0 of 10

Infinite-distance points on N=2 superconformal manifolds imply a tower of higher-spin fields in the dual AdS5 bulk that become exponentially massless, with a decay rate bounded between order one and the square root of...
On quantum corrections to semiclassical strings on $\mathrm{AdS}_5\times S^5/\mathbb{Z}_{L}$ orbifold backgrounds
hep-th 2026-07 conditional novelty 5.0 of 10

On an orbifold AdS5×S5/ZL background, one-loop string energies for three semiclassical solutions match finite-size twisted Bethe-ansatz and Landau-Lifshitz predictions, with novel stable fractional-winding sectors.
Counting conifolds and Dijkgraaf-Vafa matrix models for three matrices
hep-th 2006-02 conditional novelty 5.0 of 10

The number of conifold singularities in a deformed q-deformed N=4 geometry equals the number of allowed complex-structure deformations, with two fractional branes at each singularity.

How the literature uses it

27 arXiv papers cite this in 63 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 · 49 sentences without a confident label

Uses its method or tool 3 papers

Instead, we could follow the analysis of [ref] where blow-up of the orbifold was used to obtain the spectrum of the twisted sector states.

Superconformal Indices for Orbifold Chern-Simons Theories · $U$-type · 1.00
Now, instead, following again [ref] we assume that the space where the scalars $b_α$ and $c_α$ propagate is of the form [equation] This represents the near-horizon geometry for the twisted fields.

Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography · Near-horizon description · 0.80
Alternatively, instead of starting with the 5+5 Ansatz 34 we may follow the idea of [ref] and attempt to construct an effective 6d action for twisted modes localised on $AdS_5S^1$.

On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background · Effective action for twisted sector modes · 0.85

Cites it as support 2 papers

In section [ref] we analyse solutions for the $B_2$ and $C_2$ fields in this background and identify the 10d analogues of the twisted sector states localised on the $AdS_5 ×S^1$ subspace, thus supporting the logic behind the derivation of the action 18 in [ref] .

On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background · Structure of the paper · 0.97
Moreover, the spectrum of the $AdS_5×S^1$ supergravity [ref] does indeed contain scalar fields of squared mass $n(n-4)$ in one-to-one correspondence with the twisted operators of dimension $n$ of the quiver gauge theory.

Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography · Introduction · 0.96

Cites it as background 7 papers

As mentioned above, the holographic dual description of the $ℤ_M$ quivers is given in terms of Type II B strings propagating in an orbifold geometry of the form AdS$_5×S^5/ℤ_M$ [ref] .

Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories · Summary of results · 0.83
On the field theory side, the $ℤ_L$ quotient acts on 4d $𝒩=4$ SU$(LN)$ SYM theory, resulting in a 4d $𝒩=2$ circular quiver gauge theory with gauge group $SU(N)^L$ and matter content encoded in the diagram of Figure [ref] [ref] .

On quantum corrections to semiclassical strings on $\mathrm{AdS}_5\times S^5/\mathbb{Z}_{L}$ orbifold backgrounds · Background · 0.98
One of the simplest generalisations of the duality between $=4$ SYM theory and type IIB superstring theory on background is based on taking its orbifold [ref] (see also, e.g., [ref] ).

On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background · Introduction · 0.88

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