三维Vasiliev理论中锥解的注记
A note on conical solutions in 3D Vasiliev theory
摘要：
基于规范代数hs[λ]构造了一类三维Vasiliev高自旋理论的光滑解.这些解自然地推广了以前在sl（N）规范代数的高自旋理论中构造的锥形亏损解，当λ取为等于N时，它们退化为sl（N）规范代数。我们证明了它们与W_ \infty [λ]代数在特定经典极限下的特定初态的一致性.根据W_N极小模型的Gaberdiel-Gopakumar-'tHooft极限，该极限对应于' tHooft耦合变大的区域.
英文摘要：
We construct a class of smooth solutions in three-dimensional Vasiliev higher spin theories based on the gauge algebra hs[λ]. These solutions naturally generalize the previously constructed conical defect solutions in higher spin theories with sl(N) gauge algebra, to which they reduce when λis taken to be equal to N. We provide evidence for their identification with specific primary states of the W_\infty [λ] algebra in a particular classical limit. In terms of the Gaberdiel-Gopakumar-'t Hooft limit of the W_N minimal models, this limit corresponds to a regime where the 't Hooft coupling becomes large.
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