String universality in six dimensions
String universality in six dimensions
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六维弦普适性
DOI：
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发表时间：
2009
期刊：
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通讯作者：
W. Taylor
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作者：
Vijaya Kumar;W. Taylor
在六维中，规范、引力和混合异常的消去强烈地限制了能够与引力一致耦合的量子场论集。我们证明了某些类与重力耦合的六维超对称规范理论，异常抵消条件等价于蝌蚪抵消和其他限制K3上异质/ I型紧化物质含量的条件。在这些情况下，所有一致的6D超引力理论在弦理论中都有一个实现。我们找到了一个可能由一种新的弦紧化引起的例子，并识别了一种新的满足异常分解的无限族模型。然而，我们发现，这个无限族的模型，以及其他无限族的模型先前确定的施瓦茨是病态的。我们认为有可能证明所有具有任意规范和物质含量的拉格朗日描述的一致的六维超引力理论都存在弦理论实现。我们试图将弦普适性的假设作为一个具体的猜想。
In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric gauge theories coupled to gravity, the anomaly cancellation conditions are equivalent to tadpole cancellation and other constraints on the matter content of heterotic/type I compactifications on K3. In these cases, all consistent 6D supergravity theories have a realization in string theory. We find one example which may arise from a novel string compactification, and we identify a new infinite family of models satisfying anomaly factorization. We find, however, that this infinite family of models, as well as other infinite families of models previously identified by Schwarz are pathological. We suggest that it may be feasible to demonstrate that there is a string theoretic realization of all consistent sixdimensional supergravity theories which have Lagrangian descriptions with arbitrary gauge and matter content. We attempt to frame this hypothesis of string universality as a concrete conjecture.