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J. Kallen and M. Zabzine, Twisted supersymmetric 5D Yang-Mills theory and contact geometry
Original
1956
Earlier work this paper cites.
V. G. Kac, Representations of classical Lie superalgebras,”. Proceedings
1977
Earlier work this paper cites.
W. Nahm, Supersymmetries and their representations
1978
Earlier work this paper cites.
C. N. Pope, Eigenfunctions and Spin structures in CP 2 \mathrm{CP^{2}}
1980
Earlier work this paper cites.
C. Vafa and E. Witten, A Strong coupling test of S duality
1994
Earlier work this paper cites.
E. Witten, Some Comments on String Dynamics
1995
Earlier work this paper cites.
C. M. Hull and P. K. Townsend, Unity of superstring dualities
1995
Earlier work this paper cites.
A. Strominger, “Open P-branes”, hep-th/9512059, Phys. Lett. 383B (1996) 44, [arXiv:hep-th/9512059]
1996
Earlier work this paper cites.

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2012

Supersymmetric M5 Brane Theories on R x CP2

Kim, Hee-Cheol, Lee, Kimyeong

Understand

We propose 4 and 12 supersymmetric Yang-Mills-Chern-Simons theories on $\mathrm{R\times CP^2}$ obtained by twisted $\mathrm{Z}_k$ moddings and dimensional reduction of the 6d (2,0) superconformal field theories on $\mathrm{R\times S^5}$.

These theories have a discrete coupling constant $\frac{1}{g^2_{YM}} =\frac{k}{4\pi^2}$ 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.

Built on

J. Kallen and M. Zabzine, Twisted supersymmetric 5D Yang-Mills theory and contact geometry
Original
1956
Earlier work this paper cites.
V. G. Kac, Representations of classical Lie superalgebras,”. Proceedings
1977
Earlier work this paper cites.
W. Nahm, Supersymmetries and their representations
1978
Earlier work this paper cites.
C. N. Pope, Eigenfunctions and Spin structures in CP 2 \mathrm{CP^{2}}
1980
Earlier work this paper cites.
C. Vafa and E. Witten, A Strong coupling test of S duality
1994
Earlier work this paper cites.
E. Witten, Some Comments on String Dynamics
1995
Earlier work this paper cites.
C. M. Hull and P. K. Townsend, Unity of superstring dualities
1995
Earlier work this paper cites.
A. Strominger, “Open P-branes”, hep-th/9512059, Phys. Lett. 383B (1996) 44, [arXiv:hep-th/9512059]
1996
Earlier work this paper cites.

Similar

I. R. Klebanov and A. A. Tseytlin, Entropy of Near-Extremal Black p-branes
1996
Cited alongside, same era.
M. Rozali, Matrix Theory and U-Duality in Seven Dimensions
1997
Cited alongside, same era.
O. Aharony, M. Berkooz, and N. Seiberg, Light cone description of (2,0) superconformal theories in six-dimensions
1998
Cited alongside, same era.
J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)] [hep-th/9711200]
1999
Cited alongside, same era.
P. Arvidsson, E. Flink and M. Henningson, Free tensor multiplets and strings in spontaneously broken six-dimensional (2,0) theory
2003
Cited alongside, same era.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, An index for 4 dimensional super conformal theories