اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدTrace functions and fusion rules of diagonal coset vertex operator algebras
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تأليف
Xingjun Lin
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In this paper, irreducible modules of the diagonal coset vertex operator algebra $C(L_{mathfrak{g}}(k+l,0),L_{mathfrak{g}}(k,0)otimes L_{mathfrak{g}}(l,0))$ are classified under the assumption that $C(L_{mathfrak{g}}(k+l,0),L_{mathfrak{g}}(k,0)otimes L_{mathfrak{g}}(l,0))$ is rational, $C_2$-cofinite and certain additional assumption. An explicit modular transformation formula of traces functions of $C(L_{mathfrak{g}}(k+l,0),L_{mathfrak{g}}(k,0)otimes L_{mathfrak{g}}(l,0))$ is obtained. As an application, the fusion rules of $C(L_{E_8}(k+2,0), L_{E_8}(k,0)otimes L_{E_8}(2,0))$ are determined by using the Verlinde formula.
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