Spinor field realizations of non-critical strings

Duan, Yi‐Shi; Liu, Yu-Xiao; Zhang, L.J.

doi:10.1016/j.nuclphysb.2004.08.046

Cited by 8 publications

(10 citation statements)

References 27 publications

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“…Substituting ( 38) into (34), one can obtain the spin-6 current W , which together with the T = T 0 generate the W 2,6 algebra. Substituting T and W into (33), we will obtain the explicit form of the BRST operator Q B for W 2,6 algebra.…”

Section: Brst Operator For W 26 Algebramentioning

confidence: 99%

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Physical states and BRST operators for higher-spin W strings

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Section: Brst Operator For W 26 Algebramentioning

confidence: 99%

“…The spectrum of W strings also can be found in [27,28,29,30,31,32]. The spinor realizations of W 2,s strings were given in [33,34,35,36]. It is known that, when extended to the quantum case, W 2,s algebras will become non-linear.…”

Section: Introductionmentioning

confidence: 99%

Physical states and BRST operators for higher-spin W strings

et al. 2009

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“…Assuming the BRST charges of the W 2,s strings and W N strings are graded, the exact spinor field realizations of W 2,s (s = 3, 4, 5, 6) strings and W N (N = 4, 5, 6) strings were obtained [24,25,26,27]. Recently, we constructed the nilpotent BRST charges of the spinor non-critical W 2,s (s=3,4) strings by taking account of the property of spinor field [28]. It was shown that certain integer W 2,s (s=3,4) algebras can be linearized as the W 1,2,s algebras by the inclusion of a spin-1 current.…”

Section: Introductionmentioning

confidence: 99%

“…Conclusion 11were obtained [24,25,26,27]. Recently, we constructed the nilpotent BRST charges of the spinor non-critical W 2,s (s=3,4) strings by taking account of the property of spinor field [28]. It was shown that certain integer W 2,s (s=3,4) algebras can be linearized as the W 1,2,s algebras by the inclusion of a spin-1 current.…”

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confidence: 99%

Spinor field realizations of the half-integer strings

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The grading Becchi-Rouet-Stora-Tyutin (BRST) method gives a way to construct the integer W 2,s strings, where the BRST charge is written as Q B = Q 0 + Q 1 . Using this method, we reconstruct the nilpotent BRST charges Q 0 for the integer W 2,s strings and the half-integer W 2,s strings. Then we construct the exact grading BRST charge with spinor fields and give the new realizations of the half-integer W 2,s strings for the cases of s = 3/2, 5/2, and 7/2. Contents1. Introduction 1 2. Review of the grading BRST method 2 3. Construct BRST charges Q 0 for the integer and the half-integer W 2,s strings 4 3.1 Solutions for the case s = integer 5 3.2 Solutions for the case s = half-integer 6 4. Spinor field realizations of the half-integer W 2,s strings 8 4.1 Spinor field realizations of the W 2,3/2 string 8 4.2 Spinor field realizations of the W 2,5/2 string 8 4.3 Spinor field realizations of the W 2,7/2 string 10 5. Conclusion 11were obtained [24,25,26,27]. Recently, we constructed the nilpotent BRST charges of the spinor non-critical W 2,s (s=3,4) strings by taking account of the property of spinor field [28]. It was shown that certain integer W 2,s (s=3,4) algebras can be linearized as the W 1,2,s algebras by the inclusion of a spin-1 current. This provides a way of obtaining new realizations of the integer W 2,s strings. Based on the linear W 1,2,s algebras, the ghost field realizations and the spinor realizations of the spinor non-critical W 2,s strings were given in Refs. [29,30]. The half-integer W 2,s algebra with s = 3/2 is known as the N = 1 superconformal algebra or SW (3/2, 2) superconformal algebra. Recently, several constructions of the algebra were obtained in Refs. [31,32] . Much research had been done also on N = 2 superconformal algebra, in which another s = 3/2 current is added [33,34,35,36]. Correspondingly, the N = 1 and N = 2 superstrings had been investigated in [37,38]. In addition, the case of s = 5/2 was investigated in Ref. [39]. It was found that this algebra can not be closed with spin-2 current T and spin-5/2 current G only, and so there is no realization for this algebra. But by introducing other spin currents, this algebra may be linearized [40], which implies that the realizations of the algebra could be found. The W 2,s (s = 7/2, 9/2, 11/2, 13/2, 15/2) algebras were also studied in Ref. [41], in which the values of central charges for these algebras were given.Since up to now there is no work focused on the research of spinor field realizations of the half-integer W 2,s strings, we will construct the nilpotent BRST charges of spinor halfinteger W 2,s strings for the first time by using the grading BRST method. This method provides a more easy way to construct W 2,s algebras and strings. And the physical states can be obtained by the grading form of BRST operators for these strings. Firstly, we reconstruct the BRST charges Q 0 for integer W 2,s strings and the half-integer W 2,s strings. For each case we obtain four solutions. All these solutions indicate that we can construct the BRST...

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“…This provides an easy way to construct W 2,s strings, while it imposes more constrain conditions on the BRST charge. Under the supposition that this grading form still holds true for spinor field realizations, the corresponding works had been done [35,36,37,38].…”

Section: Introductionmentioning

confidence: 99%

Explicit field realizations of W algebras

Wei,

Liu,

Zhang

et al. 2009

Preprint

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The fact that certain non-linear W2,s algebras can be linearized by the inclusion of a spin-1 current can provide a simple way to realize W2,s algebras from linear W1,2,s algebras. In this paper, we first construct the explicit field realizations of linear W1,2,s algebras with double-scalar and doublespinor, respectively. Then, after a change of basis, the realizations of W2,s algebras are presented. The results show that all these realizations are Romans-type realizations.

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Spinor field realizations of non-critical strings

Abstract: In this paper, we construct the nilpotent Becchi-Rouet-StoraTyutin(BRST ) charges of spinor non-critical W 2,s strings. The cases of s = 3, 4 are discussed in detail, and spinor realization for s = 4 is given explicitly. The BRST charges are graded.

Cited by 8 publications

References 27 publications

Physical states and BRST operators for higher-spin W strings

Physical states and BRST operators for higher-spin W strings

Spinor field realizations of the half-integer strings

Explicit field realizations of W algebras

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