论文标题
在纯较高自旋重力的光谱上
On the Spectrum of Pure Higher Spin Gravity
论文作者
论文摘要
我们研究了$ ads_3 $中的纯无质量旋转理论的范围。光谱是由一个无质量颗粒的塔$ s = 2，\ cdots，n $及其多粒子状态给出的。他们对圆环分区功能的贡献将$ {\ cal w} _n $代数的真空字符组织。模块化不变性对理论的繁重范围构成了限制，尤其是导致负标准状态，这与单位性不一致。可以通过在黑洞阈值下方包括其他光态来治愈这种负性，但其质量随着中心电荷而生长。我们表明，这些状态可以被解释为具有赤字角度$2π（1-1/m）$的圆锥缺陷。 Unitarity允许将此类缺陷纳入提供$ M \ geq n $的路径积分中。
We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function organises into the vacuum character of the ${\cal W}_N$ algebra. Modular invariance puts constraints on the heavy spectrum of the theory, and in particular leads to negative norm states, which would be inconsistent with unitarity. This negativity can be cured by including additional light states, below the black hole threshold but whose mass grows with the central charge. We show that these states can be interpreted as conical defects with deficit angle $2π(1-1/M)$. Unitarity allows the inclusion of such defects into the path integral provided $M \geq N$.
