1,721,028 research outputs found
Line defects and 5d instanton partition functions
Full text linkWe consider certain line defect operators in five-dimensional SUSY gauge theories, whose interaction with the self-dual instantons is described by 1d ADHM-like gauged quantum mechanics constructed by Tong and Wong. The partition function in the presence of these operators is known to be a generating function of BPS Wilson loops in skew symmetric tensor representations of the gauge group. We calculate the partition function and explicitly prove that it is a finite polynomial of the defect mass parameter x, which is an essential property of the defect operator and the Wilson loop generating function. The relation between the line defect partition function and the qq-character defined by N . Nekrasov is briefly discussed.1112Nsciescopu
Supersymmetric M5 Brane Theories on R x CP2
Full text linkWe propose 4 and 12 supersymmetric Yang-Mills-Chern-Simons theories on R×CP2 obtained by twisted Zk moddings and dimensional reduction of the 6d (2,0) superconformal field theories on R×S5. These theories have a discrete coupling constant 1g2YM=k4π2 so that instantons represent the Kaluza-Klein modes correctly. We calculate the perturbative part of the SU(N) gauge group Euclidean path integral for the index function and confirm it with the known half-BPS index. The scalar and fermionic fields have the conformal dimension prescribed by the 6d theory. From the similar twisted Zk modding of the AdS7×S4 geometry, we speculate that the M region is for k≲N1/3 and the type IIA region is N1/3≲k≲N. When nonperturbative corrections are included, our theory is expected to produce the full index of the 6d (2,0) theory.1120sciescopu
The Superconformal Index of the (2,0) Theory with Defects
Full text linkWe compute the supersymmetric partition function of the six-dimensional (2,0) theory of type AN−1 on S1×S5 in the presence of both codimension two and codimension four defects. We concentrate on a limit of the partition function depending on a single parameter. From the allowed supersymmetric configurations of defects we find a precise match with the characters of irreducible modules of WN algebras and affine Lie algebras of type AN−1.1121sciescopu
Surface defects and instanton partition functions
Full text linkWe study the superconformal index of five-dimensional SCFTs and the sphere partition function of four-dimensional gauge theories with eight supercharges in the presence of co-dimension two half-BPS defects. We derive a prescription which is valid for defects which can be given a "vortex construction", i.e. can be defined by RG flow from vortex configurations in a larger theory. We test the prescription against known results and expected dualities. We employ our prescription to develop a general computational strategy for defects defined by coupling the bulk degrees of freedom to a Gauged Linear Sigma Model living in co-dimension two.1117Nsciescopu
Supersymmetric vacua of mass-deformed M2-brane theory
Full text linkWe count the supersymmetric vacua of mass-deformed N=6 U(N)xU(N) Chern-Simons-matter theory by calculating the Witten index. When the Chern-Simons level k is 1, our result perfectly agrees with that from the gravity dual, given by partitions of N. For general k, our index generalizes partitions of N, including additional degrees. We also comment on non-relativistic superconformal theories constructed from this model.1130sciescopu
Duality walls and defects in 5d N=1 theories
Full text linkWe propose an explicit description of duality walls which encode at low energy the global symmetry enhancement expected in the UV completion of certain five-dimensional gauge theories. The proposal is supported by explicit localization computations and implies that the instanton partition function of these theories satisfies novel and unexpected integral equations.1122Nsciescopu
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