标题： 关于O(N_c) d=3 N=2 超对称QCD理论 显示英文标题

标题： On O(N_c) d=3 N=2 supersymmetric QCD Theories

摘要： 我们研究了具有O(N_c)规范群且具有N_f在矢量表示中的手征多重态的三维N=2超对称QCD理论。 我们认为当N_f < N_c-2时，在模空间上存在逃逸势，没有真空。 对于N_f >= N_c-2，在量子理论中也存在模空间，当N_f >= N_c-1时，在这个模空间的原点有一个超共形固定点，该固定点可以作为O(N_f-N_c+2)规范理论的低能固定点进行对偶描述。 我们以多种方式测试这种对偶性；在某些情况下，O(2)规范理论的对偶可能与已知的U(1)规范理论的对偶相关。 我们还讨论了实质量变形，这允许连接具有不同陈-西蒙斯水平的理论。 这使我们能够将这种对偶与具有陈-西蒙斯项水平k的O(N_c)理论中的已知对偶联系起来，其中对偶规范群由O(N_f+|k|-N_c+2)给出。 显示英文摘要

摘要： We study three dimensional N=2 supersymmetric QCD theories with O(N_c) gauge groups and with N_f chiral multiplets in the vector representation. We argue that for N_f < N_c-2 there is a runaway potential on the moduli space and no vacuum. For N_f >= N_c-2 there is a moduli space also in the quantum theory, and for N_f >= N_c-1 there is a superconformal fixed point at the origin of this moduli space that has a dual description as the low-energy fixed point of an O(N_f-N_c+2) gauge theory. We test this duality in various ways; in some cases the duality for an O(2) gauge theory may be related to the known duality for U(1) gauge theories. We also discuss real mass deformations, which allow to connect theories with a different Chern-Simons level. This allows us to connect our duality with the known duality in O(N_c) theories with a Chern-Simons term of level k, where the dual gauge group is given by O(N_f+|k|-N_c+2).