### Resumen

We examine spherical p-branes in AdS_{m}×S^{n} that wrap an S^{p} in either AdS_{m} (p=m-2) or S^{n} (p=n -2). We first construct a two-spin giant solution expanding in S^{n} and has spins both in AdS_{m} and S^{n}. For (m,n) = {(5,5),(4,7),(7,4)}, it is 1/2 supersymmetric, and it reduces to the single-spin giant graviton when the AdS spin vanishes. We study some of its basic properties such as instantons, noncommutativity, zero modes, and the perturbative spectrum. All vibration modes have real and positive frequencies determined uniquely by the spacetime curvature, and evenly spaced. We next consider the (0+1)-dimensional sigma models obtained by keeping generally time-dependent transverse coordinates, describing a warped product of a breathing mode and a point particle on S^{n} or AdS_{m}× S^{1}. The Bogomol'nyi-Prasad-Sommerfield bounds show that the only spherical supersymmetric solutions are the single and the two-spin giants. Moreover, we integrate the sigma model and separate the canonical variables. We quantize exactly the point-particle part of the motion, which in local coordinates gives Pöschl-Teller type potentials, and calculate its contribution to the anomalous dimension.

Idioma original | English |
---|---|

Número de artículo | 106006 |

Publicación | Physical Review D |

Volumen | 69 |

N.º | 10 |

DOI | |

Estado | Published - 2004 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Citar esto

*Physical Review D*,

*69*(10), [106006]. https://doi.org/10.1103/PhysRevD.69.106006

}

*Physical Review D*, vol. 69, n.º 10, 106006. https://doi.org/10.1103/PhysRevD.69.106006

**Multispin giants.** / Arapoglu, S.; Deger, N. S.; Kaya, A.; Sezgin, E.; Sundell, P.

Resultado de la investigación: Article

TY - JOUR

T1 - Multispin giants

AU - Arapoglu, S.

AU - Deger, N. S.

AU - Kaya, A.

AU - Sezgin, E.

AU - Sundell, P.

PY - 2004

Y1 - 2004

N2 - We examine spherical p-branes in AdSm×Sn that wrap an Sp in either AdSm (p=m-2) or Sn (p=n -2). We first construct a two-spin giant solution expanding in Sn and has spins both in AdSm and Sn. For (m,n) = {(5,5),(4,7),(7,4)}, it is 1/2 supersymmetric, and it reduces to the single-spin giant graviton when the AdS spin vanishes. We study some of its basic properties such as instantons, noncommutativity, zero modes, and the perturbative spectrum. All vibration modes have real and positive frequencies determined uniquely by the spacetime curvature, and evenly spaced. We next consider the (0+1)-dimensional sigma models obtained by keeping generally time-dependent transverse coordinates, describing a warped product of a breathing mode and a point particle on Sn or AdSm× S1. The Bogomol'nyi-Prasad-Sommerfield bounds show that the only spherical supersymmetric solutions are the single and the two-spin giants. Moreover, we integrate the sigma model and separate the canonical variables. We quantize exactly the point-particle part of the motion, which in local coordinates gives Pöschl-Teller type potentials, and calculate its contribution to the anomalous dimension.

AB - We examine spherical p-branes in AdSm×Sn that wrap an Sp in either AdSm (p=m-2) or Sn (p=n -2). We first construct a two-spin giant solution expanding in Sn and has spins both in AdSm and Sn. For (m,n) = {(5,5),(4,7),(7,4)}, it is 1/2 supersymmetric, and it reduces to the single-spin giant graviton when the AdS spin vanishes. We study some of its basic properties such as instantons, noncommutativity, zero modes, and the perturbative spectrum. All vibration modes have real and positive frequencies determined uniquely by the spacetime curvature, and evenly spaced. We next consider the (0+1)-dimensional sigma models obtained by keeping generally time-dependent transverse coordinates, describing a warped product of a breathing mode and a point particle on Sn or AdSm× S1. The Bogomol'nyi-Prasad-Sommerfield bounds show that the only spherical supersymmetric solutions are the single and the two-spin giants. Moreover, we integrate the sigma model and separate the canonical variables. We quantize exactly the point-particle part of the motion, which in local coordinates gives Pöschl-Teller type potentials, and calculate its contribution to the anomalous dimension.

UR - http://www.scopus.com/inward/record.url?scp=3042704195&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.69.106006

DO - 10.1103/PhysRevD.69.106006

M3 - Article

VL - 69

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 106006

ER -