Quantum algebras and black hole entropy

最近的发展表明，作用于超对称规范理论BPS态的无限维对称代数的存在。这个项目将利用量子群和代数的表示理论来计算超共形量子力学中的所谓半短多重态。通过ADS/CFT对应关系，这与目前尚未解决的理解反de Sitter空间中超对称黑洞的熵有关。

Recent developments indicate the presence of infinite dimensional symmetry algebras acting on the BPS states of supersymmetric gauge theories. This project will exploit the representation theory of quantum groups and algebras to count so-called semi-short multiplets in superconformal quantum mechanics. This is relevant via the AdS/CFT correspondence to the currently unsolved problem of understanding the entropy of supersymmetric black holes in anti-De Sitter space.