On the amplitudes for non-critical N=2 superstrings

Abdalla, Élcio; Abdalla, M. C. B.; Dalmazi, D.

doi:10.1016/0370-2693(92)90115-k

Cited by 7 publications

(6 citation statements)

References 26 publications

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“…Therefore the (− − −) amplitude is vanishing 15 . The others will 15 If we do the same computation for other cases in the totally linear dilaton model, the amplitude (+ + −) turns out to be non-zero in a specific case [14]. However, this is not consistent with the reflection relation in the Liouville theory.…”

Section: Three Particle Scattering Amplitudesmentioning

confidence: 92%

“…13 For example, we get (k L , kL , E L , ĒL ) = Q(j + m, j − m, j − m + 1, j + m + 1) for (+) type and for the (−) type (k L , kL , E L , ĒL ) = Q(j + m, j − m, −j − m, −j + m), for the (−) type. 14 On-shell conditions are given by k k…”

Section: 5)mentioning

confidence: 99%

“…m 2 , m2 V (−1,−1) j 3 ,m 3 , m3 . (A 14). In the above equations k L,R means the left and right-moving part of the momentum.…”

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confidence: 99%

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Notes on S-matrix of non-criticalN= 2 string

Takayanagi¹

2005

J. High Energy Phys.

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In this paper we discuss the scattering S-matrix of non-critical N = 2 string at tree level. First we consider theĉ < 1 string defined by combining the N = 2 time-like linear dilaton SCFT with the N = 2 Liouville theory. We compute three particle scattering amplitudes explicitly and find that they are actually vanishing. We also find an evidence that this is true for higher amplitudes. Next we analyze anotherĉ < 1 string obtained from the N = 2 time-like Liouville theory, which is closely related to the N = 2 minimal string. In this case, we find a non-trivial expression for the three point functions. When we consider only chiral primaries, the amplitudes are very similar to those in the (1, n) non-critical bosonic string.

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Section: Three Particle Scattering Amplitudesmentioning

confidence: 92%

Section: 5)mentioning

confidence: 99%

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Notes on S-matrix of non-criticalN= 2 string

Takayanagi¹

2005

J. High Energy Phys.

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“…Although less powerful, the continuum approach generalises to supersymmetric strings. Some effort has been put in the study of N = 1 and N = 2 noncritical superstrings, but no clear picture has emerged so far as how useful they might be, in particular in extracting nonperturbative information [14,19,1,5,2].…”

Section: Introductionmentioning

confidence: 99%

Representation Theory of the Affine Lie Superalgebra $\hslc$ at Fractional Level

Bowcock¹,

Taormina²

1997

Communications in Mathematical Physics

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N=2 noncritical strings are closely related to the SL(2/1; R)/SL(2/1; R) Wess-ZuminoNovikov-Witten model, and there is much hope to further probe the former by using the algebraic apparatus provided by the latter. An important ingredient is the precise knowledge of theŝl(2/1; C) representation theory at fractional level. In this paper, the embedding diagrams of singular vectors appearing inŝl(2/1; C) Verma modules for fractional values of the level (k = p/q − 1, p and q coprime) are derived analytically.

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“…The to supersymmetric strings however is easier in the continuum. Some effort has been put in the study of N = 1 and N = 2 noncritical superstrings, but no clear picture has emerged so far as how useful they might be, in particular in extracting nonperturbative information [2,3,4,5,6]. However, the N = 2 noncritical string possesses interesting features and technical challenges.…”

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confidence: 99%