论文标题

混合形式主义中的DDF操作员

DDF operators in the Hybrid Formalism

论文作者

Naderi, Kiarash

论文摘要

$ \ text {ads} _3 \ times \ text {s}^3 \ times \ mathbb {t}^4 $在$ \ text {ads} _3 \ times \ times \ text {s}^4 $上带有一个单位的字符串理论已成为$ \ mathbb {t}^4 $的对称符号的偶性。在Berkovits,Vafa和Witten的混合形式主义中,并使用了$ \ Mathfrak {PSU}(1,1 | 2)_1 $的自由场实现,自由玻色子的DDF操作员和$ \ Mathbb {T}^4 $的自由效费是构建的。结果表明,这些DDF操作员在世界表上重现了时空理论的全部频谱,因此从第一原理中提供了双频谱的推导。

String theory with one unit of NS-NS flux on $\text{AdS}_3 \times \text{S}^3 \times \mathbb{T}^4$ has been recently realised to be the exact dual of the symmetric orbifold of $\mathbb{T}^4$. In the hybrid formalism of Berkovits, Vafa and Witten and using the free-field realisation of $\mathfrak{psu}(1,1|2)_1$, the DDF operators of the free bosons and the free fermions of $\mathbb{T}^4$ are constructed. It is shown that these DDF operators reproduce the whole spectrum of the space-time theory on the world-sheet and therefore provide a derivation of the dual spectrum from first-principles.

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