Giant gravitons and the emergence of geometric limits in β-deformations of N = 4 $$ \mathcal{N}=4 $$ SYM

Berenstein, David; Dzienkowski, Eric

doi:10.1007/jhep01(2015)126

Cited by 27 publications

(34 citation statements)

References 73 publications

(144 reference statements)

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“…This all loop answer is possible thanks to supersymmetry [34]. The result agrees with explicit one loop computations in [25,27], two loop computations in [35] and even three loop computations performed in [36] using a collective coordinate [37,38,39,40] approach. The result has an interesting structure which is worth understanding to appreciate the results we report here.…”

Section: Introductionsupporting

confidence: 85%

Interacting double coset magnons

et al. 2016

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We consider the anomalous dimensions of restricted Schur polynomials constructed using n ∼ O(N ) complex adjoint scalars Z and m complex adjoint scalars Y . We fix m n so that our operators are almost half BPS. At leading order in m n this system corresponds to a dilute gas of m free magnons. Adding the first correction of order m n to the anomalous dimension, which arises at two loops, we find non-zero magnon interactions. The form of this new operator mixing is studied in detail for a system of two giant gravitons with four strings attached.

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Section: Introductionsupporting

confidence: 85%

Interacting double coset magnons

et al. 2016

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“…We set by convention the Fermi-sea energy at n = 0. The Cuntz oscillators appear repeatedly also in the study of open spin chain dual states to open strings in the AdS/CFT correspondence [41] and their coherent states are especially important to describe the ground state energies of the corresponding open spin chains [42,43]. What we have described here corresponds to the strict N = ∞ limit of the corresponding matrix models.…”

Section: Physical Interpretationsmentioning

confidence: 86%

Superposition induced topology changes in quantum gravity

Berenstein

Miller

2017

J. High Energ. Phys.

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We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology. We study this phenomenon in a particular limit of the LLM geometries. In this limit, the UV complete minisuperspace of allowed quantum states is exactly given by the Hilbert space of a free chiral boson in two dimensions. We construct this chiral boson purely in terms of combinatorial objects associated with the permutation group. As a byproduct of this analysis, we rederive the Murnaghan-Nakayama rule for characters of the permutation group. We are able to express this rule in terms of operator relations for raising and lowering operators on the Hilbert space of states in a free fermion basis. Our construction provides a preferred notion of bulk locality by studying an appropriate notion of D-brane state generating functions. We describe how multi-droplet LLM geometries with different topologies give new classical limits of the free chiral boson, even though they can be written as superpositions of coherent states with trivial topology. As a consequence, topology cannot be accessed by a single operator measurement in this quantum system. We study other non-linear measurements in the quantum wave-function, based on uncertainty and entanglement between modes of the chiral boson, that can be used as order parameters to measure the topology of such states.

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“…A collective coordinate approach to study giant gravitons with their excitations has been pursued in [41][42][43][44][45]. This technique employs a complex collective coordinate for the giant graviton state, which has a geometric interpretation in terms of the fermion droplet (LLM) description of half BPS states [8,9].…”

Section: Jhep03(2016)156mentioning

confidence: 99%

Anomalous dimensions of heavy operators from magnon energies

Koch

Tahiridimbisoa

Mathwin

2016

J. High Energ. Phys.

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Abstract:We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. Motivated by a geometrical interpretation of the central charges of su(2|2), we propose a simple and minimal all loop expression that interpolates between the anomalous dimensions computed in the gauge theory and energies computed in the dual string theory. The discussion makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

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Giant gravitons and the emergence of geometric limits in β-deformations of N = 4 $$ \mathcal{N}=4 $$ SYM

Cited by 27 publications

References 73 publications

Interacting double coset magnons

Interacting double coset magnons

Superposition induced topology changes in quantum gravity

Anomalous dimensions of heavy operators from magnon energies

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