((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
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DOI：
10.1088/1126-6708/2000/09/020
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发表时间：
2000-06
影响因子：
5.4
通讯作者：
J. X. Lu;S. Roy;H. Singh
中科院分区：
文献类型：
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作者：
J. X. Lu;S. Roy;H. Singh
通过考虑IIB型弦理论（（F，D1），D3）束缚态的SL（2;Z）不变超引力解，研究了非对易开弦/Yang-Mills理论在引力系统中的解耦极限和S-对偶.这种简化可以看作是电场和磁场都沿膜的空间方向之沿着打开的D3-膜解，并保持了弦理论中时空超对称性的一半。我们的研究表明，存在一个解耦极限，由此产生的理论是一个开弦理论，在时空和空-空方向上都具有非交换性。我们研究了非对易开弦的S-对偶性，发现在S-对偶描述中同样的解耦极限导致了空-空非对易杨-米尔斯理论。我们还独立讨论了NCY在这个D3-膜背景下的解耦极限。因此我们发现NCYM理论的S-对偶并不总是给出NCOS理论。相反，它可以得到一个普通的杨米尔斯与奇异的公制和极大的耦合。我们还发现，两个S-对偶理论之间的开弦耦合关系被修正，使得S-对偶是强耦合的开弦/杨-米尔斯理论不一定给出弱耦合的理论。给出了NCOS/NCYM的重力对偶描述。
We study decoupling limits and S-dualities for non-commutative open string/Yang-Mills theory in a gravity setup by considering an SL(2;Z) invariant supergravity solutions of the form ((F, D1), D3) bound state of type-IIB string theory. This conguration can be regarded as D3-brane solution with both electric and magnetic elds turned on along one of the spatial directions of the brane and preserves half of the space-time supersymmetries of the string theory. Our study indicates that there exists a decoupling limit for which the resulting theory is an openstring theorydened inageometry withnoncommutativity inbothspace-time andspace-space directions. WestudyS-dualityofthisnon-commutative openstring (NCOS) and nd that the same decoupling limit in the S-dual description gives rise to a space-space non-commutative Yang-Mills theory (NCYM). We also discuss independentlythedecouplinglimitforNCYMinthisD3-branebackground. Herewe nd that S-duality of NCYM theory does not always give a NCOS theory. Instead, it cangiveanordinaryYang-Millswithsingularmetricandinnitelylargecoupling. WealsondthattheopenstringcouplingrelationbetweenthetwoS-dualityrelated theoriesismodiedsuchthatS-dualityofastronglycoupledopen-string/Yang-Mills theory does not necessarily give a weakly coupled theory. The relevant gravity dual descriptions of NCOS/NCYM are also given.