Abstract
We study vacua and walls of the mass-deformed nonlinear sigma models on the Grassmann manifold \( {G}_{N_F}{N}_C=\frac{G_{N_F},\left({N}_F\right)}{SU\ \left({N}_C\right)\times SU\ \left({N}_F-{N}_C\right)\times U(1)} \) and discuss three-pronged junctions for NC = 1, 2, 3 in four dimensions.
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N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett.B 429 (1998) 263 [hep-ph/9803315] [INSPIRE].
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett.B 436 (1998) 257 [hep-ph/9804398] [INSPIRE].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett.83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett.83 (1999) 4690 [hep-th/9906064] [INSPIRE].
M. Bucher and D.N. Spergel, Is the dark matter a solid?, Phys. Rev.D 60 (1999) 043505 [astro-ph/9812022] [INSPIRE].
R.A. Battye, M. Bucher and D. Spergel, Domain wall dominated universes, astro-ph/9908047 [INSPIRE].
L. Conversi, A. Melchiorri, L. Mersini-Houghton and J. Silk, Are domain walls ruled out?, Astropart. Phys.21 (2004) 443 [astro-ph/0402529] [INSPIRE].
A. Friedland, H. Murayama and M. Perelstein, Domain walls as dark energy, Phys. Rev.D 67 (2003) 043519 [astro-ph/0205520] [INSPIRE].
J.C. R.E. Oliveira, C.J. A.P. Martins and P.P. Avelino, The cosmological evolution of domain wall networks, Phys. Rev. D 71 (2005) 083509 [hep-ph/0410356] [INSPIRE].
B.M. Roberts et al., Search for domain wall dark matter with atomic clocks on board global positioning system satellites, Nature Commun.8 (2017) 1195 [arXiv:1704.06844] [INSPIRE].
E.R.C. Abraham and P.K. Townsend, Q kinks, Phys. Lett.B 291 (1992) 85 [INSPIRE].
E.R.C. Abraham and P.K. Townsend, More on Q kinks: a (1 + 1)-dimensional analog of dyons, Phys. Lett.B 295 (1992) 225 [INSPIRE].
J.P. Gauntlett, D. Tong and P.K. Townsend, Multidomain walls in massive supersymmetric σ-models, Phys. Rev.D 64 (2001) 025010 [hep-th/0012178] [INSPIRE].
D. Tong, The moduli space of BPS domain walls, Phys. Rev.D 66 (2002) 025013 [hep-th/0202012] [INSPIRE].
M. Arai, M. Naganuma, M. Nitta and N. Sakai, Manifest supersymmetry for BPS walls in N =2 nonlinear σ-models,Nucl. Phys.B 652(2003) 35 [hep-th/0211103] [INSPIRE].
M. Arai, E. Ivanov and J. Niederle, Massive nonlinear σ-models and BPS domain walls in harmonic superspace, Nucl. Phys.B 680 (2004) 23 [hep-th/0312037] [INSPIRE].
Y. Isozumi, K. Ohashi and N. Sakai, Massless localized vector field on a wall in D = 5 SQED with tensor multiplets, JHEP11 (2003) 061 [hep-th/0310130] [INSPIRE].
Y. Isozumi, K. Ohashi and N. Sakai, Exact wall solutions in five-dimensional SUSY QED at finite coupling, JHEP11 (2003) 060 [hep-th/0310189] [INSPIRE].
Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, Construction of non-Abelian walls and their complete moduli space, Phys. Rev. Lett.93 (2004) 161601 [hep-th/0404198] [INSPIRE].
Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, Non-Abelian walls in supersymmetric gauge theories, Phys. Rev.D 70 (2004) 125014 [hep-th/0405194] [INSPIRE].
K. Higashijima and M. Nitta, Supersymmetric nonlinear σ-models as gauge theories, Prog. Theor. Phys.103 (2000) 635 [hep-th/9911139] [INSPIRE].
N. Sakai and D. Tong, Monopoles, vortices, domain walls and D-branes: the rules of interaction, JHEP03 (2005) 019 [hep-th/0501207] [INSPIRE].
B.-H. Lee, C. Park and S. Shin, Vacua and walls of mass-deformed Kähler nonlinear σ-models on SO(2N)/U(N), Phys. Rev.D 96 (2017) 105017 [arXiv:1708.05243] [INSPIRE].
M. Arai, A. Golubtsova, C. Park and S. Shin, Vacua and walls of mass-deformed Kähler nonlinear σ-models on Sp(N)/U(N), Phys. Rev.D 97 (2018) 105012 [arXiv:1803.09275] [INSPIRE].
A. Galperin, E. Ivanov, V. Ogievetsky and P.K. Townsend, Eguchi-Hanson type metrics from harmonic superspace, Class. Quant. Grav.3 (1986) 625
A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, HyperKähler metrics and harmonic superspace, Commun. Math. Phys.103 (1986) 515 [INSPIRE].
A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky and E.S. Sokatchev, Harmonic superspace, Cambridge University Press, Cambridge U.K. (2001).
M. Arai, S.M. Kuzenko and U. Lindström, Hyper-Kähler σ-models on cotangent bundles of Hermitian symmetric spaces using projective superspace, JHEP02 (2007) 100 [hep-th/0612174] [INSPIRE].
E.R.C. Abraham and P.K. Townsend, Intersecting extended objects in supersymmetric field theories, Nucl. Phys.B 351 (1991) 313 [INSPIRE].
G.W. Gibbons and P.K. Townsend, A Bogomolny equation for intersecting domain walls, Phys. Rev. Lett.83 (1999) 1727 [hep-th/9905196] [INSPIRE].
S.M. Carroll, S. Hellerman and M. Trodden, Domain wall junctions are 1/4-BPS states, Phys. Rev.D 61 (2000) 065001 [hep-th/9905217] [INSPIRE].
P.M. Saffin, Tiling with almost BPS junctions, Phys. Rev. Lett.83 (1999) 4249 [hep-th/9907066] [INSPIRE].
A. Gorsky and M.A. Shifman, More on the tensorial central charges in N = 1 supersymmetric gauge theories (BPS wall junctions and strings), Phys. Rev.D 61 (2000) 085001 [hep-th/9909015] [INSPIRE].
H. Oda, K. Ito, M. Naganuma and N. Sakai, An exact solution of BPS domain wall junction, Phys. Lett.B 471 (1999) 140 [hep-th/9910095] [INSPIRE].
J.P. Gauntlett, D. Tong and P.K. Townsend, Supersymmetric intersecting domain walls in massive hyper-Kähler σ-models, Phys. Rev.D 63 (2001) 085001 [hep-th/0007124] [INSPIRE].
S. Nam and K. Olsen, Domain wall junctions in supersymmetric field theories in D = 4, JHEP08 (2000) 001 [hep-th/0002176] [INSPIRE].
D. Bazeia and F.A. Brito, Bags, junctions and networks of BPS and nonBPS defects, Phys. Rev.D 61 (2000) 105019 [hep-th/9912015] [INSPIRE].
D. Binosi and T. ter Veldhuis, Domain wall junctions in a generalized Wess-Zumino model, Phys. Lett.B 476 (2000) 124 [hep-th/9912081] [INSPIRE].
M. Eto et al., Webs of walls, Phys. Rev.D 72 (2005) 085004 [hep-th/0506135] [INSPIRE].
M. Eto et al., Non-Abelian webs of walls, Phys. Lett.B 632 (2006) 384 [hep-th/0508241] [INSPIRE].
M. Eto et al., Dynamics of domain wall networks, Phys. Rev.D 76 (2007) 125025 [arXiv:0707.3267] [INSPIRE].
S. Shin, Vacua, walls and junctions in \( {G}_{N_F}{,}_{N_C} \), Nucl. Phys.B 946. (2019) 114701 [arXiv:1804.05822] [INSPIRE].
M. Rocek and P.K. Townsend, Three loop finiteness of the N = 4 supersymmetric nonlinear sigma model, Phys. Lett.B 96 (1980) 72.
U. Lindström and M. Roček, Scalar tensor duality and N = 1, N = 2 nonlinear σ-models, Nucl. Phys.B 222 (1983) 285 [INSPIRE].
M. Arai, M. Nitta and N. Sakai, Vacua of massive hyper-Kähler σ-models of non-Abelian quotient, Prog. Theor. Phys.113 (2005) 657 [hep-th/0307274] [INSPIRE].
A. Isaev and V. Rubakov, Theory of groups and symmetries, World Scientific, Singapore (2018).
J. Bagger and E. Witten, Matter couplings in N = 2 supergravity, Nucl. Phys.B 222 (1983) 1 [INSPIRE].
M. Arai, S. Fujita, M. Naganuma and N. Sakai, Wall solution with weak gravity limit in five-dimensional supergravity, Phys. Lett.B 556 (2003) 192 [hep-th/0212175] [INSPIRE].
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Shin, S. Junctions of mass-deformed nonlinear sigma models on the Grassmann manifold. J. High Energ. Phys. 2019, 111 (2019). https://doi.org/10.1007/JHEP08(2019)111
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DOI: https://doi.org/10.1007/JHEP08(2019)111