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Intermediate Wakimoto modules for affine {\mathfrak{sl}}(n+1, \protect\bb{C})

Ben L Cox1 and Vyacheslav Futorny2

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We construct certain boson-type realizations of affine {\mathfrak{sl}}(n+1,\bb C) that depend on a parameter 0 ≤ rn such that when r = 0 we get a Fock space realization appearing in [6] and when r = n they are the Wakimoto modules described in the work of Feigin and Frenkel [7].


PACS

02.20.Uw Quantum groups

02.20.Sv Lie algebras of Lie groups

MSC

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)

17B67 Kac-Moody (super)algebras (structure and representation theory)

Subjects

Mathematical physics

Dates

Issue 21 (28 May 2004)

Received 19 November 2003

Published 12 May 2004



  1. Intermediate Wakimoto modules for affine {\mathfrak{sl}}(n+1, \protect\bb{C})

    Ben L Cox and Vyacheslav Futorny 2004 J. Phys. A: Math. Gen. 37 5589

  2. Characteristics of electron cyclotron waves creating field-aligned and transverse plasma-potential structures

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    R Bijker et al 1998 J. Phys. A: Math. Gen. 31 9041

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    Mark J Hamamura et al 2006 Phys. Med. Biol. 51 2753

  6. Pb in naturally irradiated monazites and zircons

    J Dubrail et al 2009 J. Phys.: Conf. Ser. 190 012180

  7. Accurate calculation of phase shifts for positron-He+ collisions

    T T Gien 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L535

  8. Detecting Planets Around Very Low Mass Stars with the Radial Velocity Method

    A. Reiners et al. 2010 ApJ 710 432

  9. Application of scanning thermal microscopy for thermal conductivity measurements on meso-porous silicon thin films

    S Gomès et al 2007 J. Phys. D: Appl. Phys. 40 6677

  10. Muonium as a model for interstitial hydrogen in the semiconducting and semimetallic elements

    S F J Cox 2009 Rep. Prog. Phys. 72 116501

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