On a supersymmetric completion of the R 4 term in IIB supergravity
On a supersymmetric completion of the R 4 term in IIB supergravity
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关于 IIB 超引力中 R 4 项的超对称完备
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Kostas Skenderis
中科院分区：
文献类型：
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作者：
S. Haro;A. Sinkovics;Kostas Skenderis
我们分析了在IIB型壳层超空间中构造一个分量中含有$R^4$项作为超势项的超对称不变量的可能性。我们考虑标量超势，即手征标量超场的任意全纯函数。一般来说，IIB超空间不允许手征超场的存在，但对于一个特定的超场，膨胀超场，障碍就消失了。这个超场包含了所有IIB型超重力场的分量，它的存在从比安奇恒等式的解中隐含出来。这种构造要求存在一个适当的手征度量，而我们发现这一度量的存在存在障碍。由于手征超场的存在，阻挡与阻挡密切相关，并且在场中是非线性的。这些结果表明，与$R^4$项相关的IIB超不变量与标量手征超势无关。
We analyze the possibility of constructing a supersymmetric invariant that contains the $R^4$ term among its components as a superpotential term in type IIB on-shell superspace. We consider a scalar superpotential, i.e. an arbitrary holomorphic function of a chiral scalar superfield. In general, IIB superspace does not allow for the existence of chiral superfields, but the obstruction vanishes for a specific superfield, the dilaton superfield. This superfield contains all fields of type IIB supergravity among its components, and its existence is implied by the solution of the Bianchi identities. The construction requires the existence of an appropriate chiral measure, and we find an obstruction to the existence of such a measure. The obstruction is closely related to the obstruction for the existence of chiral superfields and is non-linear in the fields. These results imply that the IIB superinvariant related to the $R^4$ term is not associated with a scalar chiral superpotential.