arXiv 0906.36632009-06-20hep-th

RNS超弦理论中的新BRST荷与变形纯旋量

New BRST Charges in RNS Superstring Theory and deformed Pure Spinors

Dimitri Polyakov

备注：: 21 pages
发表信息：: Int.J.Mod.Phys.A24:6177-6195,2009
DOI：: 10.1142/S0217751X09047600

摘要：

我们发现，新的BRST收费在RNS超弦理论与非标准鬼数，在我们最近的工作中，可以映射到变形的纯旋量（PS）超弦理论，与幂零纯旋量BRST收费$Q_{PS}=\oint{λ^α}d_α$仍然保持其形式，但奇异算子之间的产品交换旋量变量$λ^α$。论文中解释说，尽管存在OPE奇异性，但纯旋量条件$λγ^mλ=0$仍然在弱意义上得到满足。算子乘积奇点对应于引入纯旋量之间的相互作用。我们推测，两个相互作用的纯旋量之间的OPE的领导奇异阶数与相应的BRST算子在RNS形式的鬼数。也就是说，证明了具有最小超共形鬼数$n=1,2,3...$的BRST算子可以映射到变形纯旋量形式中的幂零BRST算子，其OPE为两个交换旋量具有前导奇异阶$λ(z)λ(w)\sim{O}(z-w)^{-2(n^2+6n+1)}$。对于第一个非平凡的情况$n=1$，该猜想被明确地检查。

英文摘要：

We show that new BRST charges in RNS superstring theory with nonstandard ghost numbers, constructed in our recent work, can be mapped to deformed pure spinor (PS) superstring theories, with the nilpotent pure spinor BRST charge $Q_{PS}=\oint{λ^α}d_α$ still retaining its form but with singular operator products between commuting spinor variables $λ^α$. Despite the OPE singularities, the pure spinor condition $λγ^mλ=0$ is still fulfilled in a weak sense, explained in the paper. The operator product singularities correspond to introducing interactions between the pure spinors. We conjecture that the leading singularity orders of the OPE between two interacting pure spinors is related to the ghost number of the corresponding BRST operator in RNS formalism. Namely, it is conjectured that the BRST operators of minimal superconformal ghost numbers $n=1,2,3...$ can be mapped to nilpotent BRST operators in the deformed pure spinor formalism with the OPE of two commuting spinors having a leading singularity order $λ(z)λ(w)\sim{O}(z-w)^{-2(n^2+6n+1)}$. The conjecture is checked explicitly for the first non-trivial case $n=1$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文