The Representation Theory of the So(3) Invariant Superconformal Algebra

Miki, Kei

doi:10.1142/s0217751x90000593

Cited by 48 publications

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“…The large N = 4 SCA is reduced to the N = 3 algebra in this case [19]. The generators of the algebra and their (anti-)commutation relations as derived from this reduction are presented in appendix B.1.2.…”

Section: Jhep07(2018)143mentioning

confidence: 99%

“…The vanishing of the elliptic genus holds true for any CFT with N = 3 supersymmetry. This is because the linear N = 3 SCA contains a free fermion which is a singlet of the R-symmetry su(2) k , see appendix B.2.2 and references [19,26]. 7 …”

Section: Jhep07(2018)143mentioning

confidence: 99%

“…13 Note that k is always even. We chose the conventions in such a way that k corresponds to the level of the N = 3 SCA as first given in [19] and reviewed in appendix B.…”

Section: Review Of the Unorbifolded Theorymentioning

confidence: 99%

“…spacetime-supersymmetric for all values of k. 19 Hence the BPS spectrum of the twisted sector reads:…”

Section: Jhep07(2018)143mentioning

confidence: 99%

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$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

Eberhardt

Zadeh

2018

J. High Energ. Phys.

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We consider string theory on AdS 3 × (S 3 × S 3 × S 1 )/Z 2 , a background supporting N = (3, 3) spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric product orbifold of S 0 /Z 2 where S 0 is a theory of four free fermions and one free boson. We show that the BPS spectra of the two sides of the duality match precisely. Furthermore, we compute the elliptic genus of the dual CFT and that of the supergravity limit of string theory and demonstrate that they match, hence providing non-trivial support for the holographic proposal.

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Section: Jhep07(2018)143mentioning

confidence: 99%

Section: Jhep07(2018)143mentioning

confidence: 99%

“…13 Note that k is always even. We chose the conventions in such a way that k corresponds to the level of the N = 3 SCA as first given in [19] and reviewed in appendix B.…”

Section: Review Of the Unorbifolded Theorymentioning

confidence: 99%

“…spacetime-supersymmetric for all values of k. 19 Hence the BPS spectrum of the twisted sector reads:…”

Section: Jhep07(2018)143mentioning

confidence: 99%

See 2 more Smart Citations

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

Eberhardt

Zadeh

2018

J. High Energ. Phys.

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“…These currents L n , T a m , Q a r close commutation relations together with a spin 1/2 fermionic current Ψ r Ψ r = A dz 2πi e −ϕ/2 P r , These constitute a space-time N = 3 SCA [18,19,20] with central chargec = 3 2k so , (…”

Section: N = 3 Superconformal Algebramentioning

confidence: 99%

AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra

Yamaguchi

Ishimoto

Sugiyama

1999

J. High Energy Phys.

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We study a Wess-Zumino-Witten model with target space AdS 3 ×(S 3 ×S 3 ×S 1 )/Z 2 . This allows us to construct space-time N = 3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z 2 projections, a new asymmetric (N , N ) = (3, 1) model is obtained. It has an extra gauge (affine) SU (2) symmetry in the target space of the type IIA string. An associated configuration is realized as slantwise intersecting M5-M2 branes with a Z 2 -fixed plane in the M-theory viewpoint. †

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Strings and D‐branes in holographic backgrounds

Israël

2005

Fortschritte der Physik

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We review recent progress in the study of non-rational (boundary) conformal field theories and their applications to describe exact holographic backgrounds in superstring theory. We focus mainly on the example of the supersymmetric coset SL(2, R)/U (1) , corresponding to the two-dimensional black hole, and its dual N=2 Liouville. In particular we discuss the modular properties of their characters, their partition function as well as the exact boundary states for their various D-branes. Then these results are used to construct the corresponding quantities in the CFT of the NS5-brane background, with applications to Little String Theories.From talks given in the RTN2004 meeting, Kolymbari and Joint HEP Israeli Seminar, Oct. 2004

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The Representation Theory of the So(3) Invariant Superconformal Algebra

Abstract: The representation theory of the SO(3) invariant superconformal algebra is discussed. The necessary and sufficient condition of unitarity, the Kac determinants, the character formulae for unitary representations and their modular transformation laws are obtained under some assumptions.

Cited by 48 publications

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$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra

Strings and D‐branes in holographic backgrounds

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The Representation Theory of the So(3) Invariant Superconformal Algebra

Abstract: The representation theory of the SO(3) invariant superconformal algebra is discussed. The necessary and sufficient condition of unitarity, the Kac determinants, the character formulae for unitary representations and their modular transformation laws are obtained under some assumptions.

Cited by 48 publications

References 0 publications

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

$$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

AdS3/CFT2 correspondence and space-time N = 3 superconformal algebra

Strings and D‐branes in holographic backgrounds

Contact Info

Product

Resources

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AdS₃/CFT₂ correspondence and space-time N = 3 superconformal algebra