W∞ algebra in the integer quantum Hall effects
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چکیده
We investigate the W∞ algebra in the integer quantum Hall effects. Defining the simplest vacuum, the Dirac sea, we evaluate the central extension for this algebra. A new algebra which contains the central extension is called the W1+∞ algebra. We show that this W1+∞ algebra is an origin of the KacMoody algebra which determines the behavior of edge states of the system. We discuss the relation between the W1+∞ algebra and the incompressibility of the integer quantum Hall system.
منابع مشابه
بررسی اثر صحیح کوانتومی هال در سیستمهای دارای ناخالصی به روش تبدیل پیمانه‌ای در حضور نقطه‌های کوانتومی
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تاریخ انتشار 1994