Abstract
We consider a system consisting of a pair of D3 branes intersecting each other along a line such that half of the 16 supersymmetries are preserved. We then study the existence of magnetic monopole solutions corresponding to a D1-brane suspended between these D3 branes. We consider this problem in the zero slope limit where the tilt of the D3-branes is encoded in the uniform gradient of the adjoint scalar field. Such a system is closely related to the non-abelian flux background considered originally by van Baal. We provide three arguments supporting the existence of a single magnetic monopole solution. We also comment on the relation between our construction and a recent work by Mintun, Polchinski, and Sun.
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References
M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y. Manin, Construction of instantons, Phys. Lett. A 65 (1978) 185 [INSPIRE].
W. Nahm, A simple formalism for the BPS monopole, Phys. Lett. B 90 (1980) 413 [INSPIRE].
E. Corrigan and P. Goddard, Construction of instanton and monopole solutions and reciprocity, Annals Phys. 154 (1984) 253 [INSPIRE].
M.R. Douglas, Branes within branes, hep-th/9512077 [INSPIRE].
E. Witten, σ-models and the ADHM construction of instantons, J. Geom. Phys. 15 (1995) 215 [hep-th/9410052] [INSPIRE].
D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163] [INSPIRE].
D. Tong, TASI lectures on solitons: instantons, monopoles, vortices and kinks, hep-th/0509216 [INSPIRE].
E.J. Weinberg and P. Yi, Magnetic monopole dynamics, supersymmetry and duality, Phys. Rept. 438 (2007) 65 [hep-th/0609055] [INSPIRE].
M.K. Prasad and C.M. Sommerfield, An exact classical solution for the ’t Hooft monopole and the Julia-Zee dyon, Phys. Rev. Lett. 35 (1975) 760 [INSPIRE].
D. Gaiotto and E. Witten, Supersymmetric boundary conditions in \( \mathcal{N} \) = 4 super Yang-Mills theory, J. Statist. Phys. 135 (2009) 789 [arXiv:0804.2902] [INSPIRE].
A. Hashimoto, The shape of branes pulled by strings, Phys. Rev. D 57 (1998) 6441 [hep-th/9711097] [INSPIRE].
A. Hashimoto, P. Ouyang and M. Yamazaki, Boundaries and defects of \( \mathcal{N} \) = 4 SYM with 4 supercharges. Part I: Boundary/junction conditions, JHEP 10 (2014) 107 [arXiv:1404.5527] [INSPIRE].
J. Erdmenger, Z. Guralnik, R. Helling and I. Kirsch, A world volume perspective on the recombination of intersecting branes, JHEP 04 (2004) 064 [hep-th/0309043] [INSPIRE].
I. Affleck, J.A. Harvey and E. Witten, Instantons and (super)symmetry breaking in (2 + 1)-dimensions, Nucl. Phys. B 206 (1982) 413 [INSPIRE].
E. Mintun, J. Polchinski and S. Sun, The field theory of intersecting D3-branes, arXiv:1402.6327 [INSPIRE].
A. Hashimoto and W. Taylor, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys. B 503 (1997) 193 [hep-th/9703217] [INSPIRE].
P. van Baal, SU(N) Yang-Mills solutions with constant field strength on T 4, Commun. Math. Phys. 94 (1984) 397 [INSPIRE].
E. Corrigan, C. Devchand, D.B. Fairlie and J. Nuyts, First order equations for gauge fields in spaces of dimension greater than four, Nucl. Phys. B 214 (1983) 452 [INSPIRE].
D.-s. Bak, K.-M. Lee and J.-H. Park, BPS equations in six-dimensions and eight-dimensions, Phys. Rev. D 66 (2002) 025021 [hep-th/0204221] [INSPIRE].
D. Dorigoni and D. Tong, Intersecting branes, domain walls and superpotentials in 3d gauge theories, JHEP 08 (2014) 119 [arXiv:1405.5226] [INSPIRE].
E. Corrigan, P. Goddard and A. Kent, Some comments on the ADHM construction in 4k-dimensions, Commun. Math. Phys. 100 (1985) 1 [INSPIRE].
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Cottrell, W., Hashimoto, A. & Pillai, M. Solitons on intersecting 3-branes. J. High Energ. Phys. 2014, 127 (2014). https://doi.org/10.1007/JHEP12(2014)127
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DOI: https://doi.org/10.1007/JHEP12(2014)127