A Ramond-Neveu-Schwarz string with one end fixed
| dc.creator | Arapoglu, Savas | |
| dc.creator | Saclioglu, Cihan | |
| dc.date | 2003-03-25 | |
| dc.date | 2003-09-26 | |
| dc.date.accessioned | 2026-07-25T21:14:02Z | |
| dc.description | We study an RNS string with one end fixed on a $D0$-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 $X^0 \sim τ$. Only odd $α$ and even $d$ R modes remain, while the NS oscillators $b$ 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 $α' M^2 \leq 3$ are explicitly constructed and found to be organized into SO(8) irreps by (super)constraints, which include a novel "$\sqrt{L_0}$" operator in the NS and $Γ^0 \pm I$ 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 $J/ψ$ and $Υ$ particles. | |
| dc.description | 20 pages; v2 minor modifications | |
| dc.identifier | https://arxiv.org/abs/hep-th/0303217 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0303217 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/77543 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Ramond-Neveu-Schwarz string with one end fixed | |
| dc.type | text |