Gauge/gravity duality: an overview Z. Bajnok

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Confirmation: excited state - Konishi operator nonsupersymmetric operator: Konishi O K = Tr(ZXZX + ...) ↔ | ↑↓↑↓〉 + . operator mixing string configuration S 5 −p ∆(λ) = ∆(0) + λ∆ 1 + . . . + λ 4 ∆ 4 + ≡ J p [Fiamberti ..’08] ∆ 4 = −2496 + 576ζ 3 − 1440ζ 5 moving bumps (sine-Gordon) [Hofm<strong>an</strong> .. ’07] string action=saddle point+loop corr. E(λ) = E(∞) + √ E 1 + E 2 λ λ + . . . two particle state E = E BA + E F SC Bethe Ansatz: e ipJ S(p, −p) = 1 E BA = 2E(p, λ) = 2 1 + λ π 2(sin p 2 )2 E F SC = ∑ ∫ dq Q 2π S Q1(q, p)S Q1 (q, −p)e −ɛ QL E 4 = ∆ 4 = −2496 + 576ζ 3 − 1440ζ 5 [Z.B., R. J<strong>an</strong>ik ’09] √
AdS/CFT spectral problem 15
Page 1 and 2: Seminar, December 7, 2012, Bratisla
Page 3 and 4: Motivation: Organizing matter 3
Page 6 and 7: Motivation: Organizing matter Elect
Page 8 and 9: Motivation: Organizing matter Elect
Page 10 and 11: Organizing matter II Brookhaven: Re
Page 16 and 17: Quantum Chromodynamics photon A µ
Page 18 and 19: positively curved space AdS: string
Page 20 and 21: AdS: string theory on Anti de Sitte
Page 22 and 23: AdS: string theory on Anti de Sitte
Page 24 and 25: CFT: Observables maximally supersym
Page 26 and 27: R 2 α ′ II B superstring on AdS
Page 28 and 29: CFT: Integrablity Perturbative corr
Page 30 and 31: AdS/CFT correspondence: confirmatio
Page 32 and 33: AdS/CFT correspondence: confirmatio
Page 36 and 37: Konishi dimension: Tr(ZXZX − ZZXX
Page 38 and 39: AdS/CFT correspondence: application

Gauge/gravity duality: an overview Z. Bajnok

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