Skenderis Kostas, Taylor Marika
Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands.
Phys Rev Lett. 2007 Feb 16;98(7):071601. doi: 10.1103/PhysRevLett.98.071601. Epub 2007 Feb 12.
We revisit the relation between fuzzball solutions and D1-brane-D5-brane microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R charge is that only neutral operators can have nonvanishing expectation values on these states. We compute the holographic 1-point functions of the fuzzball solutions and find that charged chiral primaries have nonzero expectation values, except when the curve characterizing the solution is circular. The nonzero vacuum expectation values reflect the fact that a generic curve breaks R symmetry completely. This implies that fuzzball solutions (excepting circular ones) can only correspond to superpositions of R states and we give a proposal for the superposition corresponding to a given curve. We also address the question of what would be the geometric dual of a given R ground state.
我们重新审视模糊球解与D1-膜-D5-膜微观态之间的关系。在通常基下，R基态是R电荷的本征态，这一事实的一个结果是，只有中性算符在这些态上才能有非零的期望值。我们计算了模糊球解的全息单点子函数，发现带电的手征原初算符具有非零的期望值，除非表征解的曲线是圆形的。非零的真空期望值反映了一个普遍曲线会完全破坏R对称性这一事实。这意味着模糊球解（圆形解除外）只能对应于R态的叠加，并且我们给出了与给定曲线相对应的叠加的一种提议。我们还讨论了给定R基态的几何对偶会是什么的问题。
