اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدبحثا عن مؤشر كالياس العام
In quest of a generalized Callias index theorem
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تأليف
Andreas Gustavsson
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نحن نقدم وصفا لكيفية حساب مؤشر كالياس باستخدام وسيط تكاملي كوسيط. ونجد توافقا مع النتائج القديمة في جميع الأبعاد الفردية. ونظهر أن مشكلة حساب بعد النظام الذي يشكل الفضاء الحالي للأشرطة المتضادة نفسها يمكن تصورها كمشكلة مؤشر في الأبعاد الزوجية (حلقة المسافة). ونظن أن الوسيط الذي تم استخدامه في هذه الرسالة يمكن تطبيقه على هذه المشكلة مؤشر.
We give a prescription for how to compute the Callias index, using as regulator an exponential function. We find agreement with old results in all odd dimensions. We show that the problem of computing the dimension of the moduli space of self-dual strings can be formulated as an index problem in even-dimensional (loop-)space. We think that the regulator used in this Letter can be applied to this index problem.
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