Abstract
We study the one-instanton sector of 5d U(N) maximal SYM theory. By using the moduli space approximation we obtain all the 1/4-BPS bound states of one dyonic instanton when a vev is given to one of the SYM scalar fields that breaks U(N) maximally. We compute the corresponding 1/4-BPS index and partition function and find agreement with arXiv:1110.2175.
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M.R. Douglas, On D = 5 super Yang-Mills theory and (2,0) theory, JHEP 02 (2011) 011 [arXiv:1012.2880] [INSPIRE].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-Branes, D4-branes and Quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].
D. Bak and A. Gustavsson, M5/D4 brane partition function on a circle bundle, JHEP 12 (2012) 099 [arXiv:1209.4391] [INSPIRE].
Z. Bern, J.J. Carrasco, L.J. Dixon, M.R. Douglas, M. von Hippel et al., D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops, Phys. Rev. D 87 (2013) 025018 [arXiv:1210.7709] [INSPIRE].
O. Aharony, M. Berkooz, S. Kachru, N. Seiberg and E. Silverstein, Matrix description of interacting theories in six-dimensions, Adv. Theor. Math. Phys. 1 (1998) 148 [hep-th/9707079] [INSPIRE].
O. Aharony, M. Berkooz and N. Seiberg, Light cone description of (2,0) superconformal theories in six-dimensions, Adv. Theor. Math. Phys. 2 (1998) 119 [hep-th/9712117] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen, D.B. Kaplan, A. Karch and L. Motl, Deconstructing (2,0) and little string theories, JHEP 01 (2003) 083 [hep-th/0110146] [INSPIRE].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, Deconstructing (2,0) Proposals, arXiv:1212.3337 [INSPIRE].
A. Gustavsson, Deconstructing graviphoton from mass-deformed ABJM, JHEP 06 (2012) 174 [arXiv:1203.5883] [INSPIRE].
N. Lambert and P. Richmond, (2,0) Supersymmetry and the Light-Cone Description of M5-branes, JHEP 02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
N.D. Lambert and D. Tong, Dyonic instantons in five-dimensional gauge theories, Phys. Lett. B 462 (1999) 89 [hep-th/9907014] [INSPIRE].
L. Álvarez-Gaumé and D.Z. Freedman, Potentials for the Supersymmetric Nonlinear σ-model, Commun. Math. Phys. 91 (1983) 87 [INSPIRE].
D. Bak, C.-k. Lee, K.-M. Lee and P. Yi, Low-energy dynamics for 1/4 BPS dyons, Phys. Rev. D 61 (2000) 025001 [hep-th/9906119] [INSPIRE].
D. Bak, K.-M. Lee and P. Yi, Complete supersymmetric quantum mechanics of magnetic monopoles in N = 4 SYM theory, Phys. Rev. D 62 (2000) 025009 [hep-th/9912083] [INSPIRE].
D. Bak and K.-M. Lee, Comments on the moduli dynamics of 1/4 BPS dyons, Phys. Lett. B 468 (1999) 76 [hep-th/9909035] [INSPIRE].
M. Atiyah, N.J. Hitchin, V. Drinfeld and Y. Manin, Construction of Instantons, Phys. Lett. A 65 (1978) 185 [INSPIRE].
N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The Calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063] [INSPIRE].
E. Calabi, Métriques kählériennes et fibrés holomorphes, Ann. Scient. Ecole Norm. Sup. 12 (1979) 269.
H.-C. Kim, S. Kim, E. Koh, K. Lee and S. Lee, On instantons as Kaluza-Klein modes of M5-branes, JHEP 12 (2011) 031 [arXiv:1110.2175] [INSPIRE].
T. Eguchi and A.J. Hanson, Selfdual Solutions to Euclidean Gravity, Annals Phys. 120 (1979) 82 [INSPIRE].
K.-M. Lee, D. Tong and S. Yi, The Moduli space of two U(1) instantons on noncommutative R 4 and R 3 × S 1, Phys. Rev. D 63 (2001) 065017 [hep-th/0008092] [INSPIRE].
D. Bak, K.-M. Lee and P. Yi, Quantum 1/4 BPS dyons, Phys. Rev. D 61 (2000) 045003 [hep-th/9907090] [INSPIRE].
M. Stern and P. Yi, Counting Yang-Mills dyons with index theorems, Phys. Rev. D 62 (2000) 125006 [hep-th/0005275] [INSPIRE].
K.-M. Lee and P. Yi, Quantum spectrum of instanton solitons in five-dimensional noncommutative U(N) theories, Phys. Rev. D 61 (2000) 125015 [hep-th/9911186] [INSPIRE].
G. Gibbons, P. Rychenkova and R. Goto, HyperKähler quotient construction of BPS monopole moduli spaces, Commun. Math. Phys. 186 (1997) 585 [hep-th/9608085] [INSPIRE].
C.-j. Kim, K.-M. Lee and P. Yi, DLCQ of fivebranes, large-N screening and L 2 harmonic forms on Calabi manifolds, Phys. Rev. D 65 (2002) 065024 [hep-th/0109217] [INSPIRE].
A. Hatzinikitas, Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric, Nuovo Cim. B 114 (1999) 427 [hep-th/9808015] [INSPIRE].
Y. Tachikawa, On S-duality of 5d super Yang-Mills on S 1, JHEP 11 (2011) 123 [arXiv:1110.0531] [INSPIRE].
J.P. Gauntlett, Low-energy dynamics of N = 2 supersymmetric monopoles, Nucl. Phys. B 411 (1994) 443 [hep-th/9305068] [INSPIRE].
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ArXiv ePrint: 1305.3637
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Bak, D., Gustavsson, A. One dyonic instanton in 5d maximal SYM theory. J. High Energ. Phys. 2013, 21 (2013). https://doi.org/10.1007/JHEP07(2013)021
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DOI: https://doi.org/10.1007/JHEP07(2013)021