Bosonization, cocycles, and the D1-D5 CFT on the covering surface

被引:11
作者
Burrington, Benjamin A. [1 ]
Peet, Amanda W. [2 ]
Zadeh, Ida G. [3 ]
机构
[1] Hofstra Univ, Dept Phys & Astron, Hempstead, NY 11549 USA
[2] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
[3] Brandeis Univ, Martin Fisher Sch Phys, Waltham, MA 02454 USA
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
BLACK-HOLES; FUZZBALL PROPOSAL; FIELD-THEORIES; AMPLITUDE; MOMENTUM; OPERATOR; GRAVITY;
D O I
10.1103/PhysRevD.93.026004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider the D1-D5 CFT near the orbifold point, specifically the computation of correlators involving twist sector fields using covering surface techniques. As is well known, certain twists introduce spin fields on the cover. Here we consider the bosonization of fermions to facilitate computations involving the spin fields. We find a set of cocycle operators that satisfy constraints coming from various SU(2) symmetries, including the SU(2)(L) x SU(2)(R) R-symmetry. Using these cocycles, we consider the correlator of four spin fields on the cover, and show that it is invariant under all of the SU(2) symmetries of the theory. We consider the mutual locality of operators, and compute several three-point functions. These computations lead us to a notion of radial ordering on the cover that is inherited from the original computation before lifting. Further, we note that summing over orbifold images sets certain branch-cut ambiguous correlators to zero.
引用
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页数:31
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