G2 dualities in D = 5 supergravity and black strings

G2 dualities in D = 5 supergravity and black strings
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D = 5 超重力和黑弦中的 G2 对偶性

DOI:
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发表时间:
2009
期刊:
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通讯作者:
Amitabh Virmani
Amitabh Virmani
中科院分区:
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文献类型:
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作者:
G. Compère;S. de Buyl;E. Jamsin;Amitabh Virmani

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在两个可交换杀戮方向上的五维最小超重力降维得到了G2协集模型。通过对种子解进行群变换,可以利用协集模型的对称群来生成新的解。我们证明了在一个通解上,属于G2的Cartan子代数和幂零子代数的生成子分别作为标度变换和规范变换。G2的剩余发生器形成了一个子代数,可以用来产生非平凡电荷。我们使用这些生成器以多种方式概括五维克尔字符串。特别地,我们构造了五维极小超重力的自旋电黑弦和自旋磁黑弦。我们分析了这些黑弦的物理性质,并研究了它们的热力学。我们还探讨了它们与黑环的关系。
Five-dimensional minimal supergravity dimensionally reduced on two commuting Killing directions gives rise to a G2 coset model. The symmetry group of the coset model can be used to generate new solutions by applying group transformations on a seed solution. We show that on a general solution the generators belonging to the Cartan and nilpotent subalgebras of G2 act as scaling and gauge transformations, respectively. The remaining generators of G2 form a subalgebra that can be used to generate non-trivial charges. We use these generators to generalize the five-dimensional Kerr string in a number of ways. In particular, we construct the spinning electric and spinning magnetic black strings of five-dimensional minimal supergravity. We analyze physical properties of these black strings and study their thermodynamics. We also explore their relation to black rings.