We construct various exact analytical solutions of the SO(3) BMN matrix model that correspond to rotating fuzzy spheres and rotating fuzzy tori. These are also solutions of Yang Mills theory compactified on a sphere times time and they are also translationally invariant solutions of the N = 1 ...
量子Fuzzy Sphere正规化中的临界现象 江苏省青年物理学家论坛 由江苏省物理学会主办,南京大学物理学院承办的江苏省青年物理学家论坛继续开讲。2024年2月27日,论坛邀请了西湖大学朱伟博士作题为“Critical Phenomena from Quantum Fuzzy Sphe...
豆瓣用户FuzzySphere看过4部电影,读过0本图书,听过0张专辑,写了0篇日记,有1个相册, 加入了22个小组,关注了5个人,共有1个人关注TA。TA的个人简介: 欲望人生: 有趣.有料.有种. 犬儒主义者.
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar φ4 theory. We demonstrate that the UV/IR mixing pr
Field theory on a fuzzy noncommutative sphere can be considered as a particularmatrix approximation of field theory on the standard commutative sphere.We investigatefrom this point of view the scalar 4 theory. We demonstrate that the UV/IR mixingproblems of this theory are localized to the tadpole...
The fuzzy sphere *-product and spin networks - Freidel, Krasnov () Citation Context ...it to formal powerseries is not unusual, the most common example is to take the inverse of the symmetrisation map σ −1 (ˆx {i1 ··· ˆx is} ) = X i1 ··· X is , (30) which...
and Fuzzy Sphere 2.1 The Dipole Mechanism Among all examples in AdS/CFT correspondence, the boundary theory of AdS 2 ×S 2 is most poorly understood [11]. However, since the “stringy exclusion principle” works in all other cases, we believe it still holds here in this case. What we sh...
2.2 Fuzzy sphere The noncommutative sphere is obtained by replacing Cartesian coordinates xi, i = 1, 2, 3 with Xi = R Li , J(J + 1) (2.27) where Li are the generators of the N = 2J + 1-dimensional irreducible representation of SU(2), i.e. [Li, Lj] = i ijkLk. This can ...
Using the framework of quantum Riemannian geometry, we show that gravity on the product of spacetime and a fuzzy sphere is equivalent under minimal assumptions to gravity on spacetime, an $su_2$-valued Yang-Mills field $A_{\mu i}$ and real-symmetric-matrix valued Liouville-sigma model field...
We study scalar solitons on the fuzzy sphere at arbitrary radius and noncommutativity. We prove that no solitons exist if the radius is below a certain value. Solitons do exist for radii above a critical value which depends on the noncommutativity parameter. We construct a family of soliton so...