Dualities in the Classical Supergravity Limits
Dualities in the Classical Supergravity Limits
复制标题
经典超重力极限中的二元性
DOI：
10.1007/978-94-011-4730-9_4
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
B. Julia
中科院分区：
文献类型：
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作者：
B. Julia
对偶对称性是运动方程的不变性，甚至有时，例如在奇数维，对称性的一个适当的行动。4k + 2维的情况似乎与导致量子群的经典李泊松作用有关，实际上后者是在二维理论中发现的。对偶群得名于它的一些元素，这些元素实际上是霍奇对偶，就像狄拉克对四维空间中电磁交换的著名分析一样，它改变了强耦合和弱耦合的展开。这也是量子四维杂化弦理论中所谓的离散S对偶的性质。SL（2，R）对称性在10维的IIB型理论中也被称为S对偶性，因为它交换了弱弦耦合和强弦耦合。弦耦合是通过介子场来影响的。在四维空间中，这些对称性涉及目标时空中的霍奇对偶性。
The duality symmetries are invariances of equations of motion and even sometimes, for instance in odd dimensions, symmetries of a suitable action. The case of 4k + 2 dimensions seems to be related to classical Lie-Poisson actions leading to Quantum groups, indeed the latter were discovered in 2 dimensional theories. The duality group gets its name from some of its elements that are actually Hodge dualities like in Dirac’s famous analysis of the exchange of electricity and magnetism in four dimensions which permutes strong and weak coupling expansions. This is also the nature of so-called discrete S-dualities in quantum four dimensional heterotic string theories as discussed by A. Sen. The SL(2, R) symmetry in type IIB theory in 10 dimensions is also called S duality as it exchanges weak and strong string couplings. The string coupling is affected via the dilaton field. In four dimensions these symmetries involve Hodge duality in the target spacetime.