Field transformations of the Lie super-algebra Sl(2|1)

Koktava, R. L. K.

doi:10.1016/0370-2693(95)00446-r

Cited by 2 publications

(5 citation statements)

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“…Similar realizations ( (118) and (121)) in the fermionic basis of simple roots have also been obtained by Ito [7]. More recently, in [9] the relation is discussed between the Wakimoto free field realizations (108) and (118) of the affine currents based on the two inequivalent choices of simple roots. Finally, the primary field of weight Λ becomes…”

Section: Case Of Ospsupporting

confidence: 63%

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Free field realizations of affine current superalgebras, screening currents and primary fields

Rasmussen¹

1998

Nuclear Physics B

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In this paper free field realizations of affine current superalgebras are considered. Based on quantizing differential operator realizations of the corresponding basic Lie superalgebras, general and simple expressions for both the bosonic and the fermionic currents are provided. Screening currents of the first kind are also presented. Finally, explicit free field realizations of primary fields with general, possibly non-integer, weights are worked out. A formalism is used where the (generally infinite) multiplet is replaced by a generating function primary operator. The results allow setting up integral representations for correlators of primary fields corresponding to integrable representations. The results are generalizations to superalgebras of a recent work on free field realizations of affine current algebras by Petersen, Yu and the present author.

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Section: Case Of Ospsupporting

confidence: 63%

“…Free field realizations are only known in certain particular cases (see e.g. [6,7,8,9]). In this paper we present general and explicit free field realizations of affine current superalgebras, generalizing the results in [4,5].…”

Section: Introductionmentioning

confidence: 99%

Free field realizations of affine current superalgebras, screening currents and primary fields

Rasmussen¹

1998

Nuclear Physics B

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“…Our aim is to clarify the relation between such different representations, both at the classical and at the quantum level. Let us first summarise the results of [25].…”

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confidence: 99%

“…A standard way to construct a Wakimoto free field representation of the classical Poisson bracket sl(2/1; R) algebra is to start with a Wess-Zumino-Witten-Novikov ( WZWN) model based on the noncompact simple Lie supergroup SL(2/1; R), introduce a Gauss decomposition for the supergroup elements, and calculate the currents associated with the Kac-Moody symmetries of the WZWN action [24,25]. Because of the non unique choice (up to Weyl transformations) of the simple roots in sl(2/1; R), any supergroup element g can be Gauss decomposed in different ways, which lead to different free field representations.…”

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confidence: 99%