Comments on the spectrum of CHL dyons
Comments on the spectrum of CHL dyons
复制标题
对 CHL dyons 谱的评论
DOI：
10.1088/1126-6708/2008/01/023
复制
发表时间：
2007
影响因子：
5.4
通讯作者：
S. Nampuri
中科院分区：
文献类型：
--
作者：
A. Dabholkar;D. Gaiotto;S. Nampuri
我们解决了一些关于异态弦的轨道紧化到四维具有= 4超对称的带子简并的问题。这些代子的配分函数用与属二黎曼曲面相关的西格尔模形式给出。我们指出了在证明s -对偶不变性的微妙之处，并给出了一个使不变性显现的处方。我们利用弦网的m理论升力证明，只有当电荷满足特定的不可约准则时，属二贡献才捕获简并性。否则，通常会有来自高属黎曼曲面的额外贡献。我们分析了由公式预测的负判别状态。我们证明，即使在超重力中没有与这些状态相对应的大黑洞，也存在具有次领先熵的多中心类粒子构型，这与微观预测和我们的s对偶不变性公式一致。状态的存在性是模相关的，给出了边缘稳定的曲线，并讨论了它与s对偶不变性的关系。
We address a number of puzzles relating to the proposed formulae for the degeneracies of dyons in orbifold compactifications of the heterotic string to four dimensions with = 4 supersymmetry. The partition function for these dyons is given in terms of Siegel modular forms associated with genus-two Riemann surfaces. We point out a subtlety in demonstrating S-duality invariance of the resulting degeneracies and give a prescription that makes the invariance manifest. We show, using M-theory lift of string webs, that the genus-two contribution captures the degeneracy only if a specific irreducibility criterion is satisfied by the charges. Otherwise, in general there can be additional contributions from higher genus Riemann surfaces. We analyze the negative discriminant states predicted by the formula. We show that even though there are no big black holes in supergravity corresponding to these states, there are multi-centered particle-like configurations with subleading entropy in agreement with the microscopic prediction and our prescription for S-duality invariance. The existence of the states is moduli dependent and we exhibit the curves of marginal stability and comment on its relation to S-duality invariance.