中文

A Ramond-Neveu-Schwarz string with one end fixed

高能物理 - 理论 2007-05-23 v2

摘要

We study an RNS string with one end fixed on a D0D0-brane and the other end free as a qualitative guide to the spectrum of hadrons containing one very heavy quark. The mixed boundary conditions break half of the world-sheet supersymmetry. Boson-fermion masses can still be matched if space-time is 9 dimensional; thus SO(8) triality still plays a role in the spectrum, although full space-time supersymmetry does not survive. We quantize the system in a temporal-like gauge where X0τX^0 \sim \tau. Only odd α\alpha and even dd R modes remain, while the NS oscillators bb become odd-integer moded. Although the gauge choice eliminates negative-norm states at the outset, there are still even-moded Virasoro and even(odd) moded super-Virasoro constraints to be imposed in the NS(R) sectors. The Casimir energy is now positive in both sectors; there are no tachyons. States for αM23\alpha' M^2 \leq 3 are explicitly constructed and found to be organized into SO(8) irreps by (super)constraints, which include a novel "L0\sqrt{L_0}" operator in the NS and Γ0±I\Gamma^0 \pm I in the R sectors. GSO projections are not allowed. The pre-constraint states above the ground state have matching multiplicities, indicating spacetime supersymmetry is broken by the (super)constraints. A distinctive physical signature of the system is a slope twice that of the open RNS string. When both ends are fixed, all leading and subleading trajectories are eliminated, resulting in a spectrum qualitatively similar to the J/ψJ/\psi and Υ\Upsilon particles.

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引用

@article{arxiv.hep-th/0303217,
  title  = {A Ramond-Neveu-Schwarz string with one end fixed},
  author = {Savas Arapoglu and Cihan Saclioglu},
  journal= {arXiv preprint arXiv:hep-th/0303217},
  year   = {2007}
}

备注

20 pages; v2 minor modifications