arXiv 1907.035712019-07hep-th

二阶形式在II型超弦双空间T-对偶化中的优势

Advantage of the second-order formalism in double space T-dualization of type II superstring

B. Nikolić, B. Sazdović

发表信息：: Eur. Phys. J. C (2019) 79:819
DOI：: 10.1140/epjc/s10052-019-7338-7

摘要：

在这篇文章中，我们提出了纯旋量形式的II型超弦理论的双空间玻色T-对偶化。我们使用的作用与恒定的背景场从一般情况下得到的一些物理和数学合理的假设。与文献\cite{bnbstip2}中使用的一阶理论不同，本文中费米子动量被积分掉了。双空间中的全T-对偶表示为初始$x^μ$和T-对偶坐标$y_μ$的置换。要求T-对偶双坐标${}^\star Z^M=(y_μ,x^μ)$的T-对偶变换律与初始T-对偶双坐标$Z^M=(x^μ,y_μ)$的T-对偶变换律具有相同的形式，得到了T-对偶双坐标背景场与初始T-对偶背景场的对应形式.使用积分费米子动量作用量的优点是，它给出了所有的T-对偶背景场的初始。在一阶理论的情况下，\cite{bnbstip2} T-对偶R-R场强在附加的假设下由双空间形式获得。

英文摘要：

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and mathematically justified assumptions. Unlike Ref.\cite{bnbstip2}, where we used the first order theory, in this article fermionic momenta are integrated out. Full T-dualization in double space is represented as permutation of initial $x^μ$ and T-dual coordinates $y_μ$. Demanding that T-dual transformation law of the T-dual double coordinate ${}^\star Z^M=(y_μ,x^μ)$ is of the same form as for initial one $Z^M=(x^μ,y_μ)$, we obtain the form of the T-dual background fields in terms of the initial ones. Advantage of using the action with integrated fermionic momenta is that it gives all T-dual background fields in terms of the initial ones. In the case of the first order theory \cite{bnbstip2} T-dual R-R field strength was obtained out of double space formalism under additional assumptions.

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