Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification

Boucher, Wayne; Friedan, Daniel; Kent, Adrian

doi:10.1016/0370-2693(86)90260-1

Cited by 388 publications

(337 citation statements)

References 25 publications

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“…at central charges c = c = 3k k + 2 [86,87,90,91]. Following [92,93] I use the most convenient description of the field content of (k) in terms of a free boson ϕ and the parafermion model at level k found in [88,94]:…”

Section: Jhep03(2006)102mentioning

confidence: 99%

A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model

Wendland

2006

J. High Energy Phys.

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This work gives a manual for constructing superconformal field theories associated to a family of smooth K3 surfaces. A direct method is not known, but a combination of orbifold techniques with a non-classical duality turns out to yield such models. A four parameter family of superconformal field theories associated to certain quartic K3 surfaces in CP 3 is obtained, four of whose complex structure parameters give the parameters within superconformal field theory. Standard orbifold techniques are used to construct these models, so on the level of superconformal field theory they are already well understood.All "very attractive" K3 surfaces belong to the family of quartics underlying these theories, that is all quartic hypersurfaces in CP 3 with maximal Picard number whose defining polynomial is given by the sum of two polynomials in two variables. A particular member of the family is the (2) 4 Gepner model, such that these theories can be viewed as complex structure deformations of (2) 4 in its geometric interpretation on the Fermat quartic.

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Section: Jhep03(2006)102mentioning

confidence: 99%

A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model

Wendland

2006

J. High Energy Phys.

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“…These characters were written down in [49]. For the module associated with a generic NS primary, labelled by [P, ω], the character is…”

Section: Characters Of the N = 2 Superconformal Algebramentioning

confidence: 99%

Two-dimensional superstrings and the supersymmetric matrix model

McGreevy

Murthy

Verlinde

2004

J. High Energy Phys.

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“…For N = 0,1 most of the program has been successfully completed; it has resulted in many applications in (super)string theory and statistical mechanics. For N = 2 the representation theory is well-understood [11,15,16]. String models based on N = 2 local superconformal invariance can consistently be formulated but have no dynamical content [17].…”

Section: Introductionmentioning

confidence: 99%

O(N)-extended superconformal field theory in superspace

Schoutens¹

1988

Nuclear Physics B

159

222

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We discuss the superspace formalism for the description of O(N)-extended superconformal quantum field theory in two dimensions. Such theories exist for N ~< 4. In O(4)-extended superconformal transformations two independent anomalous terms can be present. Under the assumption that in physical models a specific combination of these anomalies is absent, we show that the allowed values of the N = 4 Virasoro central charge c are c(n+, n_) = 6n+n_/(n++ n_).

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Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification

Cited by 388 publications

References 25 publications

A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model

A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model

Two-dimensional superstrings and the supersymmetric matrix model

O(N)-extended superconformal field theory in superspace

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Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification

Cited by 388 publications

References 25 publications

A family of SCFTs hosting all ``very attractive'' relatives of the (2)4Gepner model

A family of SCFTs hosting all ``very attractive'' relatives of the (2)4Gepner model

Two-dimensional superstrings and the supersymmetric matrix model

O(N)-extended superconformal field theory in superspace

Contact Info

Product

Resources

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A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model

A family of SCFTs hosting all ``very attractive'' relatives of the (2)⁴Gepner model