具有内部激励的模糊球
Fuzzballs with internal excitations
摘要：
我们构造了T^4和K3上IIB超引力的一般2-荷D1-D5无视界非奇异解，描述了内部流形中具有激发的模糊球，这些激发由任意曲线表征。通过对偶，分别从T^4上的杂种优势和IIB型的F1-P解中得到K3和T^4情形的解。我们计算了在这些解中编码的全息数据，并表明内部激发被与T^4或K3的中上同调相关的手征原色的vev捕获。我们认为，每个几何是一个特定的叠加R基态确定的傅立叶系数的曲线定义的超重力解决方案的对偶。我们计算了与中间上同调相关的手征原色的vevs，并表明它们确实在对应于具有内部激发的模糊球的叠加中获得了vevs，与全息结果一致。我们还解决了一个问题，即模糊球程序是否可以在超重力范围内一致地实施。
英文摘要：
We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T^4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T^4 for the K3 and T^4 cases, respectively. We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T^4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.
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