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arXiv 0906.4699hep-th
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光锥规范中的AdS_4 x CP ^3超弦

AdS_4 x CP^3 superstring in the light-cone gauge

D. V. Uvarov

摘要:

在κ对称光锥规范中考虑了AdS_4 × CP^3背景下的IIA型超弦作用量,该作用量可通过AdS_4 × S^7超膜的双维约化得到,其中类光方向选择在AdS_4的D=3 Minkowski边界上。这种规范条件的选择依赖于表示AdS_4 × S^7背景等距超代数osp(4| 8)(和相应的osp(4| 6)AdS_4 × CP^3背景的等距超代数)为D=3的扩张超共形代数。规范固定的作用量包括费米子的4次方的贡献。

英文摘要:

The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 supermembrane, is considered in the kappa-symmetry light-cone gauge, in which the light-like directions are chosen on the D=3 Minkowski boundary of AdS_4. Such choice of the gauge condition relies on representing the AdS_4 x S^7 background isometry superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions.

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