Unstable solitons in noncommutative gauge theory
Unstable solitons in noncommutative gauge theory
复制标题
非交换规范理论中的不稳定孤子
DOI：
10.1088/1126-6708/2001/04/001
复制
发表时间：
2000
影响因子：
5.4
通讯作者：
A. Strominger
中科院分区：
文献类型：
--
作者：
Mina Aganagic;R. Gopakumar;Shiraz Minwalla;A. Strominger
我们找到了一类对应于不稳定非BPS孤子的非对易规范理论的精确解。在二维欧几里德（或2+1维洛伦兹）U（1）理论中，我们发现携带非零磁通量的本地化解决方案。在四个欧几里德维度，我们发现非BPS解决方案具有相同的庞特亚金收费，但更大的能量比通常的自对偶杨米尔斯瞬子。我们猜想，这些解及其推广对应于在大B场的非对易标度极限下，D（p−2k）-膜（或其交点）在DP-膜中的非超对称构型。在0-膜在2-膜上的特殊情况下，对小涨落的分析揭示了一个无限的状态塔，这与标度极限下的0-2 CFT完全一致。光谱中包含一个快子，我们明确表明，快子凝聚的端点对应于0膜溶解在2膜。
We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D(p−2k)-branes (or intersections thereof) in a Dp-brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.