Fock representations of the affine Lie algebraA 1 (1)

Wakimoto, Minoru

doi:10.1007/bf01211068

Cited by 485 publications

(432 citation statements)

References 5 publications

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“…The γ is a scalar appearing in the Wakimoto representation [13] of the SL(2; R) currents. A level of boundary affine Lie algebrak I is proportional to the level k I of the associated algebra,k I = k I p. Thus Eqs.(2.…”

Section: General Casementioning

confidence: 99%

See 1 more Smart Citation

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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Section: General Casementioning

confidence: 99%

“…This worldsheet theory has an affine SL(2; R) symmetry with level 1 k = k sℓ + 2 and its generators {J a B } are expressed in the Wakimoto representation [13] J − B = β ,…”

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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“…This representation of the SL(2, R) current algebra is called the Wakimoto representation [183]. The holomorphic currents are given by…”

Section: Strings On Euclidean Adsmentioning

confidence: 99%

Microscopic formulation of black holes in string theory

David¹,

Mandal²,

Wadia³

2002

Physics Reports

360

545

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In this Report we review the microscopic formulation of the five dimensional black hole of type IIB string theory in terms of the D1-D5 brane system. The emphasis here is more on the brane dynamics than on supergravity solutions. We show how the low energy brane dynamics, combined with crucial inputs from AdS/CFT correspondence, leads to a derivation of black hole thermodynamics and the rate of Hawking radiation. Our approach requires a detailed exposition of the gauge theory and conformal field theory of the D1-D5 system. We also discuss some applications of the AdS/CFT correspondence in the context of black hole formation in three dimensions by thermal transition and by collision of point particles.

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“…As in [1], we consider a fermionic string on the Euclidean version of AdS 3 , and study the worldsheet theory in the free field representation of SL(2) [5]. The worldsheet Lagrangian has the form…”

Section: Worldsheet Propertiesmentioning

confidence: 99%