一族三维超共形场论的有效中心荷精确公式
Exact effective central charges for a family of 3d superconformal field theories
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中文总结 AI 辅助
针对与Chern-Simons理论通过3d-3d对应相关的一族三维超共形场论,提出了有效中心荷的精确公式,该公式由模形式空间维数决定,并已通过恢复延续结果验证。
中文摘要 AI 辅助
我们猜想了一个精确公式,用于计算一族三维超共形场论的有效中心荷 ceff,这些场论通过3d-3d对应与三维流形上的Chern-Simons理论相关联。该公式根据一个特定模形式空间的维数来确定ceff,而ceff控制着共形理论中受保护态扇区的增长。我们通过对照已知的、通过恢复延续计算得到的结果进行验证,确认了我们的方法。
英文摘要
We conjecture an exact formula for the effective central charge, ceff, of a family of three- dimensional superconformal field theories related to Chern-Simons theory on a three-manifold by the 3d-3d correspondence. The formula determines ceff , which governs the growth of a protected sector of states in the conformal theory, in terms of the dimension of a particular space of modular forms. We confirm our approach by checking against known results computed through resurgent continuation.
发表机构
- University of Connecticut(康涅狄格大学)
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