论文标题
6D超符号理论的cardy限制
Cardy Limits of 6d Superconformal Theories
论文作者
论文摘要
我们在$ \ mathbb {r}^4 \ times t^2 $上探索6D scfts的超对称分区功能，兼容兼容全局对称性的非散付费。我们利用椭圆形属用于自动偶，并在Cardy极限内计算6D SCFT的自由能。对于$ n $ m5-brane的6d（2,0）理论，我们获得了与$ n^3 $成比例的自由能。我们发现，$ n^3 $的起源来自自二弦字符串的凝结，其总数与$ {n^3-n \ 6} $成比例。我们将分析进一步扩展到一般的电子弦理论，并获得其Cardy自由能。
We explore the supersymmetric partition functions of 6d SCFTs on $\mathbb{R}^4\times T^2$ with non-vanishing charges for compatible global symmetries. We utilize the elliptic genera for self-dual strings and compute the free energy of 6d SCFTs in the Cardy limit. For a 6d (2,0) theory on $N$ M5-brane, we obtain the free energy proportional to $N^3$. We find that the origin of $N^3$ comes from the condensation of the self-dual strings, whose total number is proportional to ${N^3-N\over 6}$. We further extend our analysis to the general E-string theory and obtain its Cardy free energy.
