Fetching the paper…

Reading the bibliography…

Line defects and 5d instanton partition functions · Around

2016

Line defects and 5d instanton partition functions

Kim, Hee-Cheol

Original
PDF
Post on X

Understand

We 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.

Built on

M. F. Atiyah, N. J. Hitchin, V. G. Drinfeld, and Y. I. Manin Phys. Lett
1978
Earlier work this paper cites.
L. C. Jeffrey and F. C. Kirwan, Localization for nonabelian group actions
1993
Earlier work this paper cites.
hep-th/9512077
M. R. Douglas, Branes within branes · 1995
Earlier work this paper cites.
E. Witten, Small instantons in string theory
1996
Earlier work this paper cites.
M. R. Douglas, Gauge fields and D-branes
1998
Earlier work this paper cites.
O. Aharony, M. Berkooz, S. Kachru, and E. Silverstein, Matrix description of (1,0) theories in six-dimensions
1998
Earlier work this paper cites.

Similar

U. Bruzzo, F. Fucito, J. F. Morales, and A. Tanzini, Multiinstanton calculus and equivariant cohomology
2003
Cited alongside, same era.
N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting
2004
Cited alongside, same era.
J. Gomis and F. Passerini, Holographic Wilson Loops
2006
Cited alongside, same era.
H.-C. Kim, S. Kim, E. Koh, K. Lee, and S. Lee, On instantons as Kaluza-Klein modes of M5-branes
Original
2011
Cited alongside, same era.
D. Tong, The holographic dual of A d S 3 × S 3 × S 3 × S 1 AdS_{3}\times S^{3}\times S^{3}\times S^{1}
Original
2014
Cited alongside, same era.
C. Hwang, J. Kim, S. Kim, and J. Park, General instanton counting and 5d SCFT

Then

N. Nekrasov, Nonperturbative Dyson-Schwinger equations and novel symmetries of quantum field theory, at Strings
2014
Later among the works it cites.
F. Benini, R. Eager, K. Hori, and Y. Tachikawa, Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
Original
2014
Later among the works it cites.
H. Hayashi, H.-C. Kim, and T. Nishinaka, Topological strings and 5d T N T_{N} partition functions
Original
2014
Later among the works it cites.
D. Tong and K. Wong, Instantons, Wilson lines, and D-branes
Original
2015
Later among the works it cites.
B. Assel and J. Gomis, Mirror Symmetry And Loop Operators
Original
2015

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited in the paper.

C. Cordova and S.-H. Shao, An Index Formula for Supersymmetric Quantum Mechanics

Cited in the paper.

K. Hori, H. Kim, and P. Yi, Witten Index and Wall Crossing

Cited in the paper.

N. Nekrasov, BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters

Cited in the paper.

J.-E. Bourgine, Y. Mastuo, and H. Zhang, Holomorphic field realization of SH c

Cited in the paper.

T. Kimura and V. Pestun, Quiver W-algebras

Cited in the paper.

N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions

Cited in the paper.

Later among the works it cites.