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Phân loại lý thuyết đo lường siêu hình học lớn N với phổ dày đặc
Tóm tắt
Chúng tôi phân loại các giới hạn lớn N của các lý thuyết đo lường siêu hình học bốn chiều với các nhóm đo lường đơn giản, chảy tới các điểm cố định siêu đồng phẳng. Chúng tôi giới hạn mình trong các lý thuyết không có siêu tiềm năng và có đối xứng hương vị cố định. Chúng tôi tìm thấy tổng cộng 35 lớp, với 8 có phổ dày đặc của các toán tử chiral bảo toàn đo lường. Các số liệu trung tâm a và c cho các lý thuyết dày đặc phát triển theo N một cách tuyến tính, trái ngược với sự phát triển N^2 cho các lý thuyết có phổ thưa. Sự khác biệt giữa các số liệu trung tâm a - c có thể có cả hai dấu và không biến mất trong giới hạn lớn N cho các lý thuyết dày đặc. Chúng tôi phát hiện rằng tồn tại nhiều băng tần tách biệt bởi một khoảng trống, hoặc một phổ rời rạc phía trên băng tần. Chúng tôi cũng tìm thấy một tiêu chí về nội dung vật chất để lý thuyết điểm cố định có thể sở hữu hoặc phổ dày đặc hoặc thưa thớt. Chúng tôi phát hiện ra một số khía cạnh thú vị liên quan đến dòng RG siêu hình học và việc tối ưu hóa a trong quá trình này. Đối với tất cả các lý thuyết có phổ dày đặc, phiên bản AdS của Giả thuyết Độ yếu về trọng lực (bao gồm cả điều kiện tấm lồi cho các trường hợp có nhiều U(1)) vẫn đúng cho N đủ lớn mặc dù chúng không có các đối xứng trọng lực yếu liên kết.
Từ khóa
#lý thuyết siêu đồng phẳng #phổ dày đặc #số liệu trung tâm #dòng RG siêu hình học #giả thuyết độ yếu về trọng lựcTài liệu tham khảo
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