2010
DOI: 10.1007/jhep08(2010)072
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Extremal solutions of the S3 model and nilpotent orbits of G2(2)

Abstract: We study extremal black hole solutions of the S3 model (obtained by setting S=T=U in the STU model) using group theoretical methods. Upon dimensional reduction over time, the S3 model exhibits the pseudo-Riemannian coset structure G/K with G=G2(2) and K=SO(2,2). We study nilpotent K-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct K-orbits. Three of these orbits are supersymmetric, one is non-supersymmetric, and two are unphysical. We write general solut… Show more

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Cited by 38 publications
(138 citation statements)
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“…In one limit we recover the three parameter supersymmetric string of [22,36]. In another extremal limit our string solution reduces to the three parameter non-rotating non-supersymmetric string of [22]. When the pressureless condition is imposed, our solution describes the infinite radius limit of the most general class of black rings of minimal supergravity.…”
Section: Jhep11(2010)133mentioning
confidence: 84%
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“…In one limit we recover the three parameter supersymmetric string of [22,36]. In another extremal limit our string solution reduces to the three parameter non-rotating non-supersymmetric string of [22]. When the pressureless condition is imposed, our solution describes the infinite radius limit of the most general class of black rings of minimal supergravity.…”
Section: Jhep11(2010)133mentioning
confidence: 84%
“…We can recover the two known extremal black strings by taking additional limits. In one limit we recover the three parameter supersymmetric string of [22,36]. In another extremal limit our string solution reduces to the three parameter non-rotating non-supersymmetric string of [22].…”
Section: Jhep11(2010)133mentioning
confidence: 86%
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“…Nilpotent g 2(2) generators fall into 5 orbits under the adjoint action of G 2(2) (see for instance [38,39,40]):…”
Section: A General Property Of G 2(2) -Gaugingsmentioning
confidence: 99%
“…We choose as representative X (N ) 1 = e 1 + e 2 , whose little algebra is: 39) and is abelian. Also in this case X 1 = X (N ) 1 .…”
Section: Orbit Omentioning
confidence: 99%