Classification of closed-fermionic-string models

Kawai, Hiroyuki; Lewellen, D. C.; Tye, S.‐H. Henry

doi:10.1103/physrevd.34.3794

Cited by 201 publications

(260 citation statements)

References 17 publications

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“…The new division of the world-sheet fermions of the rank 16 gauge degrees of freedom is well known in the classification of the ten dimensional heterotic string of ref. [13,1,2]. The only supersymmetric vacua in 10 dimensions are the SO(32) and E 8 × E 8 vacua.…”

Section: Discussionmentioning

confidence: 99%

“…The remaining 8 holomorphic and 32 anti-holomorphic world-sheet fermions are divided into five non-overlapping groups of eight real fermions. Such a division in ten dimensions [13,1,2] is unique and independently of GGSO projection coefficients always produces in the space-time supersymmetric case either SO(32) or E 8 × E 8 , and not any other gauge groups. Although, naively one may expect that other gauge groups, like SO (8) 4 , SO(16) 2 or SO(8) × SO(24) may arise, the chiral modular properties of the partition function forbid the other possible extensions in the supersymmetric case.…”

Section: A Novel Basismentioning

confidence: 99%

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Spinor-vector duality in heterotic string vacua

2008

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Classification of the N = 1 space-time supersymmetric fermionic Z 2 × Z 2 heterotic-string vacua with symmetric internal shifts, revealed a novel spinorvector duality symmetry over the entire space of vacua, where the S t ↔ V duality interchanges the spinor plus anti-spinor representations with vector representations. In this paper we demonstrate that the spinor-vector duality exists also in fermionic Z 2 heterotic string models, which preserve N = 2 space-time supersymmetry. In this case the interchange is between spinorial and vectorial representations of the unbroken SO(12) GUT symmetry. We provide a general algebraic proof for the existence of the S t ↔ V duality map. We present a novel basis to generate the free fermionic models in which the ten dimensional gauge degrees of freedom are grouped into four groups of four, each generating an SO(8) modular block. In the new basis the GUT symmetries are produced by generators arising from the trivial and non-trivial sectors, and due to the triality property of the SO(8) representations. Thus, while in the new basis the appearance of GUT symmetries is more cumbersome, it may be more instrumental in revealing the duality symmetries that underly the string vacua.

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Section: Discussionmentioning

confidence: 99%

Section: A Novel Basismentioning

confidence: 99%

Spinor-vector duality in heterotic string vacua

2008

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“…We then discuss three evidences to show that saddle-point calculation for high-energy closed string scattering amplitudes is not reliable. By using the relation of tree-level closed and open string scattering amplitudes of Kawai, Lewellen and Tye (KLT) [14], we calculate the tree-level high-energy closed string scattering amplitudes for arbitrary mass levels. For the case of high-energy closed string four-tachyon amplitude, our result differs from the previous one of Gross and Mende [1], which is NOT consistent with KLT formula, by an oscillating factor.…”

Section: Introductionmentioning

confidence: 99%

Notes on high-energy limit of bosonic closed string scattering amplitudes

2006

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We study bosonic closed string scattering amplitudes in the high-energy limit. We find that the methods of decoupling of high-energy zero-norm states and the high-energy Virasoro constraints, which were adopted in the previous works to calculate the ratios among high-energy open string scattering amplitudes of different string states, persist for the case of closed string. However, we clarify the previous saddle-point calculation for high-energy open string scattering amplitudes and claim that only (t, u) channel of the amplitudes is suitable for saddle-point calculation. We then discuss three evidences to show that saddle-point calculation for high-energy closed string scattering amplitudes is not reliable. By using the relation of tree-level closed and open string scattering amplitudes of Kawai, Lewellen and Tye (KLT), we calculate the high-energy closed string scattering amplitudes for arbitrary mass levels. For the case of high-energy closed string four-tachyon amplitude, our result differs from the previous one of Gross and Mende, which is NOT consistent with KLT formula, by an oscillating factor.

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“…It is now straightforward to calculate the 4−point string amplitude using the techniques described in [16,17] with the result…”

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confidence: 99%

Scattering of macroscopic heterotic strings

et al. 1994

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We show that macroscopic heterotic strings, formulated as strings which wind around a compact direction of finite but macroscopic extent, exhibit non-trivial scattering at low energies. This occurs at order velocity squared and may thus be described as geodesic motion on a moduli space with a non-trivial metric which we construct. Our result is in agreement with a direct calculation of the string scattering amplitude. 5/93

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Classification of closed-fermionic-string models

Cited by 201 publications

References 17 publications

Spinor-vector duality in heterotic string vacua

Spinor-vector duality in heterotic string vacua

Notes on high-energy limit of bosonic closed string scattering amplitudes

Scattering of macroscopic heterotic strings

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