Aspects of fractional superstrings

Cleaver, Gerald; Rosenthal, Philip

doi:10.1007/bf02099356

Cited by 5 publications

(14 citation statements)

References 27 publications

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“…Here the system Z k G indicates the "fractional super-partner" of the bc ghost system of c bc = −26. Also note that this value has been also argued in[1,10,11].…”

supporting

confidence: 71%

“…We should note that there is also another guess work for ghost system[11], which is different from ours 22. Here the system Z k G indicates the "fractional super-partner" of the bc ghost system of c bc = −26.…”

mentioning

confidence: 67%

“…For further evidence of the correspondence, we need to consider the gravitational exponents of all the on-shell vertex operators. Actually this is not so easy now because the corresponding ghost system has not been known until now, and other quantization procedures and GSO projection also include some mysterious things [9][10][11][12][13]. So we here give some proposal for the vertex operators and ghost primary fields which are consistent with the matrix models.…”

Section: The Critical Exponents and The On-shell Vertex Operatorsmentioning

confidence: 95%

“…One might be a phenomenological reason to have a model of lower (or reasonable) critical dimensions less than ten [9,10]. Another can be a possibility of extending the spacetime spectrum to include different types of statistics [11][12][13] (This feature might be good for applying to some systems with different kinds of statistics). In addition, it is also interesting to deepen our understanding of the RNS superstring formulation from the viewpoint of this generalization of worldsheet conformal field theory.…”

Section: Introductionmentioning

confidence: 99%

“…Roughly speaking, fractional superstring theory is obtained by replacing the worldsheet fermions in the superstring theory with the Zamolodchikov-Fateev parafermions [14]. Even though there is much progress in studying this system [1,[9][10][11][12][13][15][16][17][18][19][20], several difficulties have prevented us from revealing its whole body and structure. The main difficulty comes from the special feature of this fractional supersymmetry: spin of the current is equal to some fractional number, (k + 4)/(k + 2) (k = 2, 3, · · · ), and the algebra of this current is of the non-local non-Abelian braiding type [15].…”

Section: Introductionmentioning

confidence: 99%

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Fractional supersymmetric Liouville theory and the multi-cut matrix models

Irie

2009

Nuclear Physics B

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We point out that the non-critical version of the k-fractional superstring theory can be described by k-cut critical points of the matrix models. In particular, in comparison with the spectrum structure of fractional super-Liouville theory, we show that (p, q) minimal fractional superstring theories appear in the Z k -symmetry breaking critical points of the k-cut two-matrix models and the operator contents and string susceptibility coincide on both sides. By using this correspondence, we also propose a set of primary operators of the fractional superconformal ghost system which consistently produces the correct gravitational scaling critical exponents of the on-shell vertex operators. * Every odd k-cut model (i.e. k is odd) has the same contour integral as even 2k-cut models have. They are, however, physically different systems because their Liouville directions e −bφ = Re (ζ bos ) = Re (ζ k ) are different. 5 Only when k ≤ 2, the two-matrix models can include the one-matrix models as the special case of the system because the Gaussian potential V (y) = y 2 which is necessary for the reduction into one-matrix model is forbidden in the higher Z k symmetric case. 6 We cannot use this measure when the number of the matrices in the model is odd, which includes one-matrix models and matrix quantum mechanics. 7 This kind of matrix contour integral is also observed in the supermatrix description of the type 0 superstrings [57].

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“…Here the system Z k G indicates the "fractional super-partner" of the bc ghost system of c bc = −26. Also note that this value has been also argued in[1,10,11].…”

supporting

confidence: 71%

mentioning

confidence: 67%

Section: The Critical Exponents and The On-shell Vertex Operatorsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fractional supersymmetric Liouville theory and the multi-cut matrix models

Irie

2009

Nuclear Physics B

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On the worldsheet formulation of the six-dimensional self-dual string

Argyres

1996

Physics Letters B

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Despite recent evidence indicating the existence of a new kind of self-dual six-dimensional superstring, no satisfactory worldsheet formulation of such a string has been proposed. In this note we point out that a theory built from Z 4 parafermions may have the right properties to describe the light-cone conformal field theory of this string. This indicates a possible worldsheet formulation of this theory.

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The worldsheet conformal field theory of the fractional superstring

Dienes

1994

Nuclear Physics B

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Two of the important unresolved issues concerning fractional superstrings have been the appearance of new massive sectors whose spacetime statistics properties are unclear, and the appearance of new types of "internal projections" which alter or deform the worldsheet conformal field theory in a highly non-trivial manner. In this paper we provide a systematic analysis of these two connected issues, and explicitly map out the effective post-projection worldsheet theories for each of the fractional-superstring sectors. In this way we determine their central charges, highest weights, fusion rules, and characters, and find that these theories are isomorphic to those of free worldsheet bosons and fermions. We also analyze the recently-discovered parafermionic "twist current" which has been shown to play an important role in reorganizing the fractional-superstring Fock space, and find that this current can be expressed directly in terms of the primary fields of the post-projection theory. This thereby enables us to deduce some of the spacetime statistics properties of the surviving states. * E-mail address: dien@hep.physics.mcgill.ca. * Note that since this worldsheet theory is a tensor product, spacetime Lorentz invariance implies invariance under permutations of the transverse dimensions.

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Aspects of fractional superstrings

Cited by 5 publications

References 27 publications

Fractional supersymmetric Liouville theory and the multi-cut matrix models

Fractional supersymmetric Liouville theory and the multi-cut matrix models

On the worldsheet formulation of the six-dimensional self-dual string

The worldsheet conformal field theory of the fractional superstring

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