Lifting at higher levels in the D1D5 CFT
Lifting at higher levels in the D1D5 CFT
复制标题
在 D1D5 CFT 中提升更高水平
DOI：
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发表时间：
2020
影响因子：
5.4
通讯作者：
S. Mathur
中科院分区：
文献类型：
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作者：
Bin Guo;S. Mathur
D1D5P系统在其轨道上有一大组BPS态。偏离这个“自由”点会导致一些态结合成长的超多重态并提升，而另一些态仍然是BPS。我们考虑展示这一升力的最简单的旋转体：具有N=2个副本的自由c=6CFT。我们写下指数所暗示的所有能级的提升和未提升态的数目，直到6。我们在微扰强度λ中工作到二阶。对于4能级以下的能级，我们得到了提升态的波函数、它们的超多重态结构和提升的值。实际上，指数允许提升的所有状态都在O(λ2)阶处被提升。我们观察到在右移动的Ramond基态扇区中的未提升态与右移动的Ramond基态区中的副本之间具有反对称性，并将这一观察结果推广到对任意N将保持未提升到O(λ2)的状态类。
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(λ2). 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(λ2).