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Mô hình SYK siêu đối xứng và lý thuyết ma trận ngẫu nhiên
Tóm tắt
Trong bài báo này, chúng tôi nghiên cứu ảnh hưởng của siêu đối xứng đến phân loại đối xứng của các tập hợp ma trận ngẫu nhiên. Chúng tôi chủ yếu xem xét các hành vi của ma trận ngẫu nhiên trong tổng quát siêu đối xứng $$ \mathcal{N}=1 $$ của mô hình Sachdev-Ye-Kitaev (SYK), một mô hình thử nghiệm cho lỗ đen lượng tử hai chiều với ràng buộc siêu đối xứng. Một số lập luận phân tích và kết quả số đã được đưa ra để cho thấy rằng thống kê của mô hình SYK siêu đối xứng có thể được diễn giải là các tập hợp ma trận ngẫu nhiên, với một phân loại tám khả năng khác với mô hình SYK gốc và một số đặc điểm mới. Sự phát triển phụ thuộc thời gian của yếu tố hình thức phổ cũng được nghiên cứu, trong đó các dự đoán từ lý thuyết ma trận ngẫu nhiên thống trị hành vi ở thời gian muộn của hamiltonian hỗn loạn với siêu đối xứng.
Từ khóa
#Mô hình SYK #Siêu đối xứng #Lý thuyết ma trận ngẫu nhiên #Lỗ đen lượng tửTài liệu tham khảo
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