Strings in five-dimensional anti-de Sitter space with a symmetry

L. Gohberg, P. Lancaster and L. Rodman, Matrices and indefinite scalar products

1983

Earlier work this paper cites.

I. Yokota, Classical simple Lie groups (Gendai-Sugakusha, 1990) (in Japanese)

1990

Earlier work this paper cites.

V. P. Frolov, V. Skarzhinsky, A. Zelnikov and O. Heinrich, Phys. Lett. B 224

1997

Earlier work this paper cites.

S. Holst and P. Peldan, Class. Quantum Grav., 14

1997

Cited alongside, same era.

L. Randall and R. Sundrum, Phys. Rev. Lett. 83

1999

Cited alongside, same era.

K. Ogawa, H.Ishihara, H. Kozaki, H. Nakano, and I. Tanaka, “Gravitational radiation from stationary rotating cosmic strings”, Proceeding of 15th JGRG workshop

2005

Cited alongside, same era.

Also the variable μ \mu changes by the gauge transformation: μ ↦ μ − ( 1 / α ) ​ ( 2 ​ θ ˙ ​ Im ​ ψ ¯ ​ ψ ˙ + θ ˙ 2 ​ ψ ¯ ​ ψ ) \mu\mapsto\mu-(1/\alpha)(2\dot{\theta}{\rm Im}\overline{\psi}\dot{\psi}+\dot{\theta}^{2}\overline{\psi}\psi)

Cited in the paper.

If one also admits the spatial reflection, an isometry which is not connected to the identity, one sees that L + J x ​ y + J z ​ w L+J_{xy}+J_{zw} is the only Killing vector of constant norm. Alternatively, one can treat the case with L + J x ​ y − J z ​ w L+J_{xy}-J_{zw} in the same manner as in the present section by considering ( ψ 0 , ψ 1 , ( ψ 2 ) ∗ ) (\psi^{0},\psi^{1},(\psi^{2})^{*}) instead of ( ψ 0 , ψ 1 , ψ 2 ) (\psi^{0},\psi^{1},\psi^{2})

Cited in the paper.

A. L. Larsen and N. Sánchez, Phys. Rev. D51

Cited in the paper.

H. Ishihara and H. Kozaki, Phys. Rev. D72

2005

Later among the works it cites.

M. G. Jackson, N. T. Jones and J. Polchinski, J. High Energy Phys. 10

2005

Later among the works it cites.

In quantum mechanics, the global phase of the state vector is irrelevant so that one works on the projective space. One obtains the Fubini-Study metric on ℂ ​ P n {\mathbb{C}}P^{n} by subtracting the contribution of the phase change from the usual inner product on the Hilbert space of state vectors. See J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65

Original

2006

Later among the works it cites.