An N = 2 superconformal fixed point with E6 global symmetry

Minahan, Joseph A.; Nemeschansku, Dennis

doi:10.1016/s0550-3213(96)00552-4

Cited by 296 publications

(583 citation statements)

References 11 publications

(21 reference statements)

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“…We demonstrate this explicitly for N = 1 SQCD and N = 4 supersymmetric Yang-Mills theory for all classical gauge groups. We also apply this technique to the superconformal index of N = 2 nonlagrangian theory with E 6 flavour symmetry that arises in the context of ArgyresSeiberg duality [29][30][31].…”

Section: Jhep07(2017)041mentioning

confidence: 99%

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Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations

Brünner

Regalado

Spiridonov

2017

J. High Energ. Phys.

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We provide a recipe to extract the supersymmetric Casimir energy of theories defined on primary Hopf surfaces directly from the superconformal index. It involves an SL(3, Z) transformation acting on the complex structure moduli of the background geometry. In particular, the known relation between Casimir energy, index and partition function emerges naturally from this framework, allowing rewriting of the latter as a modified elliptic hypergeometric integral. We show this explicitly for N = 1 SQCD and N = 4 supersymmetric Yang-Mills theory for all classical gauge groups, and conjecture that it holds more generally. We also use our method to derive an expression for the Casimir energy of the nonlagrangian N = 2 SCFT with E 6 flavour symmetry. Furthermore, we predict an expression for Casimir energy of the N = 1 SP(2N) theory with SU(8) × U(1) flavour symmetry that is part of a multiple duality network, and for the doubled N = 1 theory with enhanced E 7 flavour symmetry.

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Section: Jhep07(2017)041mentioning

confidence: 99%

“…This sector is a superconformal theory with an E 6 flavour symmetry [30]. While the superconformal index of such a theory cannot be written down by conventional means, the problem was circumvented in [31] in an elegant manner by employing mathematical techniques developed in [44].…”

Section: N = 2 Strongly Coupled E 6 Scftmentioning

confidence: 99%

Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations

Brünner

Regalado

Spiridonov

2017

J. High Energ. Phys.

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“…The superconformal R-symmetry is an accidental symmetry at the infrared fixed point, so we do not have any effective means of calculating the 't Hooft anomalies in the language of the four dimensional field theory. For the 7-brane of type E n , the corresponding SCFTs on a single D3-brane were first discussed in [9,10] and were studied shortly thereafter in detail by [11,12]. A purely field-theoretical construction of these theories was not known until quite recently when the paper [15] appeared, which motivated us to re-analyze these theories.…”

Section: F-theory Singularities and N = 2 Scftsmentioning

confidence: 99%

A holographic computation of the central charges ofd= 4, 𝒩 = 2 SCFTs

Aharony¹,

Tachikawa²

2008

J. High Energy Phys.

102

162

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We use the AdS/CFT correspondence to compute the central charges of the d = 4, N = 2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E n global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of ChernSimons terms in the dual string theory on AdS 5 . Our computation is exact for all values of N , enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E 6 and E 7 theories with N = 1.

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“…The low energy theory on the five-brane wrapping the singular fiber flows to an exotic interacting fixed point theory. The fixed point theories with exceptional global symmetries were first discussed, in a different context, in [33].…”

Section: Kodaira Types I *mentioning

confidence: 99%

Five-brane BPS states in heterotic M-theory

Grassi

Guralnik

Ovrut

2001

J. High Energy Phys.

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We present explicit methods for computing the discriminant curves and the associated Kodaira type fiber degeneracies of elliptically fibered Calabi-Yau threefolds.These methods are applied to a specific three-family, SU (5) grand unified theory of particle physics within the context of Heterotic M-Theory. It is demonstrated that there is always a region of moduli space where a bulk space five-brane is wrapped on a pure fiber in the Calabi-Yau threefold. Restricting the discussion to the smooth parts of the discriminant curve, we explore the properties of the N = 2 BPS supermultiplets that arise on the worldvolume of this five-brane due to the degeneration of the elliptic fiber. The associated degenerating M membranes are shown to project to string junctions in the base space. We use string junction techniques to explicitly compute the light BPS hyper-and vector multiplet spectrum for each Kodaira type fiber near the smooth part of the discriminant curve in the SU (5) GUT theory.

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An N = 2 superconformal fixed point with E6 global symmetry

Cited by 296 publications

References 11 publications

Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations

Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations

A holographic computation of the central charges ofd= 4, 𝒩 = 2 SCFTs

Five-brane BPS states in heterotic M-theory

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