اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدNilmanifolds and their associated non local fields
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تأليف
Juan Jose Villarreal
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For six dimensional nilmanifolds we build a module $mathcal{H}$ of an affine Kac Moody vertex algebras. Then, we associate some logarithmic fields for the module $mathcal{H}$ and we study their singularities. We also presented a physics motivation behind this construction. We study a particular case, we show that when the nilmanifold $N$ is a $k$ degree $S^1$--fibration over the two torus and a choice of $l in mathbb{Z} simeq H^3(N, mathbb{Z})$ the fields associated to the space $mathcal{H}$ have tri-logarithm singularities whenever $kl eq 0$.
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