On the Non-Abelian U-Duality of 11D Backgrounds

On the Non-Abelian U-Duality of 11D Backgrounds
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论 11 维背景的非阿贝尔 U 对偶性

DOI:
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发表时间:
2020
期刊:
影响因子:
2.9
通讯作者:
E. Musaev
E. Musaev
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
E. Musaev

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在这项工作中,我们推广的程序的非阿贝尔T-对偶的基础上的B-移位和一系列的正式阿贝尔T-对偶的非等距方向的11维背景。这包括一个C-移位,然后是一个正式的(阿贝尔)U-对偶变换或取一个IIB部分。通过构造,这是一个生成转换的解决方案。研究了该方法的局限性和适用性,发现只有当σ模型目标空间的等距代数分解为直和时,该方法才能给出SL(5)例外Drinfeld代数的超引力解.这与文献中已知的例子一致。
In this work, we generalise the procedure of the non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal (abelian) U-duality transformation or taking an IIB section. By construction, this is a solution generating transformation. We investigate the restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when the isometry algebra of the sigma-model target space decomposes into a direct sum. This is consistent with examples known in the literature.
DOI: 10.1007/jhep06(2014)006
发表时间: 2014
影响因子: 5.4
作者:
Berkeley J
通讯作者: Berkeley J