论文标题
在D1D5 CFT中以较高的水平提升
Lifting at higher levels in the D1D5 CFT
论文作者
论文摘要
D1D5P系统在其Orbifold点具有大量的BPS状态。远离这个“自由”点会导致一些州加入长期超级人，并举重，而其他州仍然是bps。我们认为最简单的Orbifold展示了此升降机：$ n = 2 $副本的免费$ c = 6 $ cft。我们写下指数在所有级别上暗示的提升和未装修状态的数量，最高$ 6 $。我们在扰动强度$λ$中努力工作。对于最高$ 4 $的水平，我们发现了举重状态的波形，它们的超值结构和电梯的价值。实际上，所有允许通过索引取消的州都以$ O（λ^2）$的顺序提升。我们观察到，未偏见的部门中的未经装修状态在右移动的拉蒙德基地国家部门的副本之间具有反对称性，并扩展了此观察结果，以找到任意$ n $的状态类别，这些状态将持续到$ O（λ^2）$。
The D1D5P system has a large set of BPS states at its orbifold point. Perturbing away from this 'free' point leads to some states joining up into long supermultiplets and lifting, while other states remain BPS. We consider the simplest orbifold which exhibits this lift: that with $N=2$ copies of the free $c=6$ CFT. We write down the number of lifted and unlifted states implied by the index at all levels upto $6$. We work to second order in the perturbation strength $λ$. For levels upto $4$, we find the wavefunctions of the lifted states, their supermultiplet structure and the value of the lift. All states that are allowed to lift by the index are in fact lifted at order $O(λ^2)$. We observe that the unlifted states in the untwisted sector have an antisymmetry between the copies in the right moving Ramond ground state sector, and extend this observation to find classes of states for arbitrary $N$ that will remain unlifted to $O(λ^2)$.
