Light-Cone Superspace BPS Theory

The BPS bound is formulated in light-cone superspace for the N = 4 super-Yang–Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms are used to derive the light-cone superspace BPS equations. Finally, the superfield expressions are expanded out to component form, and the Wu–Yang monopole boosted to the infinite momentum frame is shown to be a solution.

BPS
Light-cone
Light-front
Superspace
Superconformal theories
supersymmetry: 4
supersymmetry: algebra
bound state: BPS
gauge field theory: Yang-Mills: supersymmetry
superspace

References(24)

Figures(0)

The Ultraviolet Finiteness of the N=4 Yang-Mills Theory

- Phys.Lett.B 123 (1983) 323-328
•
DOI:
- 10.1016/0370-2693(83)91210-8

Light Cone Superspace and the Ultraviolet Finiteness of the N=4 Model

Stanley Mandelstam
(
- UC, Berkeley
)

- Nucl.Phys.B 213 (1983) 149-168
•
DOI:
- 10.1016/0550-3213(83)90179-7

Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1

Hugh Osborn
(
- Cambridge U.
)

- Phys.Lett.B 83 (1979) 321-326
•
DOI:
- 10.1016/0370-2693(79)91118-3

N=4 Yang-Mills Theory on the Light Cone

- Nucl.Phys.B 212 (1983) 401-412
•
DOI:
- 10.1016/0550-3213(83)90678-8

Dynamical supersymmetry in maximally supersymmetric gauge theories

Dmitry V. Belyaev
(
- Florida U., Inst. Fund. Theor.
)

- Nucl.Phys.B 832 (2010) 289-322
•
e-Print:
- 0910.5471
•
DOI:
- 10.1016/j.nuclphysb.2010.02.012

An Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon

M.K. Prasad
(
- Yale U.
)
,
Charles M. Sommerfield
(
- Yale U.
)

- Phys.Rev.Lett. 35 (1975) 760-762
•
DOI:
- 10.1103/PhysRevLett.35.760

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 24 (1976) 449,
- Yad.Fiz. 24 (1976) 861-870

Supersymmetry Algebras That Include Topological Charges

Edward Witten
(
- Harvard U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 78 (1978) 97-101
•
DOI:
- 10.1016/0370-2693(78)90357-X

Magnetic monopoles, duality and supersymmetry

Jeffrey A. Harvey
(
- Chicago U., EFI
)

- In *Trieste 1995, High energy physics and cosmology* 66-125
•
e-Print:
- hep-th/9603086

Duality in N=2, N=4 supersymmetric gauge theories

Paolo Di Vecchia
(
- Nordita
)

•
e-Print:
- hep-th/9803026

Forms of Relativistic Dynamics

Paul A.M. Dirac
(
- Cambridge U.
)

- Rev.Mod.Phys. 21 (1949) 392-399,
- Also in *Noz, M.E. (ed.), Kim, Y.S. (ed.): Special Relativity and Quantum Theory* 219-226
•
DOI:
- 10.1103/RevModPhys.21.392

Non-linear realization of PSU(2, 2|4) on the Light-Cone

- Nucl.Phys.B 722 (2005) 166-190
•
e-Print:
- hep-th/0505234
•
DOI:
- 10.1016/j.nuclphysb.2005.06.012

Still in Light-Cone Superspace

Pierre Ramond
(
- Florida U., Inst. Fund. Theor.
)

- Int.J.Mod.Phys.A 25 (2010) 367-380
•
e-Print:
- 0910.1993
•
DOI:
- 10.1142/S0217751X10048676

The BLG Theory in Light-Cone Superspace

- JHEP 04 (2010) 026
•
e-Print:
- 1001.2001
•
DOI:
- 10.1007/JHEP04(2010)026

Mass-Deformed BLG Theory in Light-Cone Superspace

Dmitry V. Belyaev
(
- Florida U., Inst. Fund. Theor.
)

- J.Phys.A 43 (2010) 385403
•
e-Print:
- 1006.1646
•
DOI:
- 10.1088/1751-8113/43/38/385403

e-Print:
- 0607.0192

Low-Energy Scattering of Nonabelian Monopoles

M.F. Atiyah
(
- Oxford U.
)
,
Nigel J. Hitchin
(
- Oxford U.
)

- Phys.Lett.A 107 (1985) 21-25,
- In *Gibbons, G.W. (ed.), Hawking, S.W. (ed.): Euclidean quantum gravity* 582-586. and In *Atiyah, M.: Collected works, vol. 5* 537-543
•
DOI:
- 10.1016/0375-9601(85)90238-5

$N=4$ {Yang-Mills} Theory in Terms of $N=3$ and $N=2$ Light Cone Superfields

Lars Brink
(
- Goteborg, ITP
)
,
Anna Tollsten
(
- Goteborg, ITP
)

- Nucl.Phys.B 249 (1985) 244-262
•
DOI:
- 10.1016/0550-3213(85)90017-3

Notes on theories with 16 supercharges

Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Nucl.Phys.B Proc.Suppl. 67 (1998) 158-171,
•
e-Print:
- hep-th/9705117
•
DOI:
- 10.1016/S0920-5632(98)00128-5

S duality in N=4 supersymmetric gauge theories with arbitrary gauge group

Nicholas Dorey
(
- Swansea U.
)
,
Christophe Fraser
(
- Swansea U.
)
,
Timothy J. Hollowood
(
- Swansea U.
)
,
Marco A.C. Kneipp
(
- Rio de Janeiro, CBPF
)

- Phys.Lett.B 383 (1996) 422-428
•
e-Print:
- hep-th/9605069
•
DOI:
- 10.1016/0370-2693(96)00773-3

Magnetic Monopoles in Unified Gauge Theories

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 79 (1974) 276-284,
•
DOI:
- 10.1016/0550-3213(74)90486-6

- JETP Lett. 7420 194

Particle Spectrum in Quantum Field Theory

Alexander M. Polyakov
(
- Landau Inst.
)

- JETP Lett. 20 (1974) 194-195,
- Pisma Zh.Eksp.Teor.Fiz. 20 (1974) 430-433,

Charge - monopole versus gravitational scattering at Planckian energies

Saurya Das
(
- IMSc, Chennai
)
,
Parthasarathi Majumdar
(
- IMSc, Chennai
)

- Phys.Rev.Lett. 72 (1994) 2524-2526
•
e-Print:
- hep-th/9307182
•
DOI:
- 10.1103/PhysRevLett.72.2524