On theories with light-like noncommutativity
On theories with light-like noncommutativity
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DOI：
10.1088/1126-6708/2000/09/023
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发表时间：
2000-06
影响因子：
5.4
通讯作者：
O. Aharony;J. Gomis;Thomas Mehen
中科院分区：
文献类型：
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作者：
O. Aharony;J. Gomis;Thomas Mehen
我们证明了具有类光非对易性的场论，即θ 0 i = -θ 1 i，是幺正量子理论，并且它们可以作为背景NS-NS B场中D膜弦理论的解耦场论极限得到。对于一般的非对易性参数，我们表明，非对易场论是酉的，可以得到作为弦理论的解耦场论极限，而那些不是酉的不能从弦理论得到，因为大规模的开弦不解耦。我们研究了不同的理论与轻的非交换性，产生于II型D膜。D4-膜的退耦极限似乎导致了M5-膜的（2，0）SCFT的非对易场论变形，而D5-膜的情况则导致了“小弦理论”的非对易变体。我们讨论了这些理论的DLCQ描述。
We show that field theories with light-like noncommutativity, that is with θ0i = -θ1i, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a background NS-NS B-field. For general noncommutativity parameters, we show that non-commutative field theories which are unitary can be obtained as decoupled field theory limits of string theory, while those that are not unitary cannot be obtained from string theory because massive open strings do not decouple. We study the different theories with light-like noncommutativity which arise from type-II D-branes. The decoupling limit of the D4-brane seems to lead to a non-commutative field theory deformation of the (2,0) SCFT of M5-branes, while the D5-brane case leads to a non-commutative variation of "little string theories". We discuss the DLCQ description of these theories.