AdS-Conformal
Field Theory Correspondence| AdS-Conformal
Field Theory Correspondence |
AdS-Cft Correspondence in General > s.a. [anti-de
sitter;]
higher-order gravity; non-commutative
field theory.
* Idea: There is a conjectured
T-duality between physics in the bulk of AdS and a conformal field theory in
the boundary; Gravitational physics in 5D anti-de Sitter space is equivalent
to a supersymmetric SU(N) Yang-Mills theory, with large N,
defined on the boundary of AdS; Seems to work for some more general spacetimes
too.
* Maldacena conjecture:
A holographic relationship between field theory in 2+1 anti-de Sitter spacetime
and a boundary conformal field theory, or between N = 4 super Yang-Mills
in
Minkowski spacetime and type IIB string theory compactified on AdS5 
S5.
Theories > s.a. 2D gravity; geometrodynamics; lattice
field theory; QCD;
Rarita-Schwinger.
@ General references: Behrend et al PLB(98)ht [classification];
Gegenberg & Kunstatter PLB(00)ht/99 [5D
Chern-Simons]; Lavrinenko ht/99 [Chern-Simons
bulk/sugra boundary]; Minces & Rivelles PLB(99)ht [Chern-Simons
bulk];
Forste et al ht/00-in
[susy Yang-Mills, Wilson loops]; Rooman & Spindel CQG(01)ht/00;
Bellucci et al PRD(02)ht;
Sezgin & Sundell NPB(02)ht [higher
spin].
@ Scalar field:
Minces & Rivelles NPB(00)ht/99;
Das et al PRD(01)ht.
@ And gravity: Horowitz & Polchinski gq/06-in
[rev]; Freidel a0804 [3D bulk, quantum gravity]; > s.a. holography.
References > s.a. black holes
and information.
@
Maldacena conjecture: Maldacena ATMP(98)ht/97;
Danielsson et al JHEP(99)ht/98;
Polyakov IJMPA(99)ht/98;
Witten ATMP(98)ht,
JHEP(98)ht;
Rehren AHP(00)ht/99, ht/99-in;
Rivelles ht/99-in;
Bianchi NPPS(01)ht [tests];
Schroer CMP(01)
[Rehren]; Hiller et al PLB(05)
[2D N = (8,8) super-Yang-Mills]; Frampton a0804-in [and particle
phenomenology].
@ Intros: Duff IJMPA(99)ht/98-in;
Schwarz
ht/98-in;
Petersen IJMPA(99)ht;
Di Vecchia FdP(00)ht/99;
Akhmedov ht/99;
Zaffaroni CQG(00);
Klebanov ht/00-ln; Álvarez
et al IJMPD(03)ht;
Maldacena ht/03-ln;
de Boer et al ht/04-in;
Zapata ht/06;
Nastase a0712.
@ Holographic renormalization: Papadimitriou & Skenderis ht/04-in.
@ And chaos: Rama & Sathiapalan MPLA(99)ht.
@ And black holes: Louko & Marolf PRD(99)ht/98;
Hawking et al PRD(99)ht/98 [rotating];
Gregory & Ross
PRD(01)ht/00 [UV/IR
relations and horizons]; Fidkowski et al JHEP(04)ht/03 [singularity].
@ And collapse: Danielsson et al NPB(99)ht;
Birmingham PRD(01)ht [Choptuik
scaling]; Giddings & Nudelman JHEP(02)ht/01.
@ And cosmology: Gubser PRD(01)ht/99 [FRW
as boundary spacetime]; Nojiri & Odintsov
PLB(00)ht;
Anchordoqui et al JHEP(00)ht [quantum
cosmology]; Freivogel et al JHEP(06)
[inflation].
@ And spacetime topology: Galloway et al PLB(01)ht/99 [topological
censorship]; McInnes JHEP(00)ht;
Krasnov ATMP(00)ht [arbitrary
genus].
@ Bulk field/metric reconstruction: de Haro et al CMP(01)ht/00; Álvarez
et al IJMPD(03)ht [obstruction];
Hammersley JHEP(06)ht.
@ Lorentzian: Balasubramanian et al PRD(04)ht/03 [multiple
vacua]; Marolf JHEP(05)ht/04.
@ And quantum states: Boschi-Filho & Braga PLB(02) [a and a*].
@ And brane world, Randall-Sundrum: Duff & Liu PRL(00) + CQG(01)ht;
McInnes NPB(01)ht/00;
Shiromizu & Ida PRD(01)ht,
et al JHEP(02)ht/01.
@ And entropy, thermodynamics: Susskind & Witten ht/98 [holographic
bound]; Hawking
et al JHEP(01)ht/00 [+
entanglement];
Witten IJMPA(01) [+ confinement, etc]; Martinec ht/98.
@ Related topics: Horowitz & Myers PRD(99)ht/98 [positive
energy]; Witten & Yau
ATMP(99)ht [connectedness
of boundary]; Minces NPPS(04)ht [boundary
conditions]; Ribeiro gq/05-in
[asymptotic Noether charges]; Young a0706-PhD;
Gottschalk & Thaler a0709 [ir
problem]; > s.a. Bach Tensor; Giant Magnons.
dS-Cft Correspondence
@
General references: Bousso et al PRD(02)ht/01 [massive
scalar]; Klemm NPB(02)ht/01;
Strominger JHEP(01)ht;
Abdalla et al PRD(02)
[and spacetime perturbations]; Dyson et al JHEP(02);
McInnes NPB(02)
[vs AdS-cft]; Kabat & Lifschytz
JHEP(02)ht [entropy];
Kluson CQG(03);
Guijosa & Lowe PRD(04)ht/03.
@ Phenomenology:
Strominger JHEP(01)ht [inflation]; Larsen
et
al JHEP(02)ht [and
cmb].
@ 2D: Ness & Siopsis PLB(02)ht; Cadoni et al PRD(02)ht.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
27 jun 2008