Holography and D3-branes in Melvin universes
Holography and D3-branes in Melvin universes
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梅尔文宇宙中的全息术和 D3 膜
DOI:
10.1103/physrevd.73.106009
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发表时间:
2006-01
影响因子:
5
通讯作者:
Cai, RG
中科院分区:
文献类型:
--
作者:
Ohta, N;Cai, RG
Recently, Hashimoto and Thomas [J. High Energy Phys., 01 (2006) 083] found that noncommutative super Yang-Mills (NCSYM) theory with space-dependent noncommutativity can be formulated as a decoupling limit of open strings ending on D3-branes wrapping a Melvin universe supported by a flux of the NSNS B-field. Under S-duality, we show that this theory turns into a noncommutative open string (NCOS) theory with space-dependent space-time noncommutativity and effective space-dependent string scale. It is an NCOS theory with both space-dependent space-space and space-time noncommutativities under more general SL(2,Z) transformation. These space-dependent noncommutative theories (NCSYM and NCOS) have completely the same thermodynamics as that of ordinary super YM theory, NCSYM and NCOS theories with constant noncommutativity in the dual supergravity description. Starting from black D3-brane solution in the Melvin universe and making a Lorentz boost along one of spatial directions on the worldvolume of D3-branes, we show that the decoupled theory is a lightlike NCSYM theory with space-dependent noncommutativity in a static frame or in an infinite-momentum frame depending on whether there is a gravitational pp-wave on the worldvolume of the D3-branes.
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