Open giant magnons on LLM geometries

Berenstein, David; Adolfo, Holguin,

doi:10.1007/jhep01(2021)080

Cited by 15 publications

(14 citation statements)

References 45 publications

(73 reference statements)

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“…We expect that those boundary conditions describe more complicated configurations of giants wrapping holomorphic cycles [25].It would also be interesting to study the corresponding open string solitons with those open boundary conditions. One should be able to reproduce the quantum numbers of the spin chain in the limits studied in [26,27]. These are different than the plane-wave and Landau-Lifshitz limits in that they capture some finite size effects in the dispersion relation.…”

Section: Discussionmentioning

confidence: 99%

Giant Gravitons Intersecting at Angles from Integrable Spin Chains

Adolfo¹

2021

Preprint

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We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside spheres or projective spaces. By studying properties of their ground and low-lying states we reproduce the expected spectrum near the intersections. Unlike the case of intersecting D-branes in flat space, intersecting giant gravitons related by SU (N ) rotations do not always preserve an additional supersymmetry. We quantify this lack of enhancement by whether or not there exists a simple ferromagnetic ground state for the open spin chain.

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Section: Discussionmentioning

confidence: 99%

Giant Gravitons Intersecting at Angles from Integrable Spin Chains

Adolfo¹

2021

Preprint

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“…(2) ij in (2.8) and those of D 2 , according to the two-loop computation [19]. 8 Since the -loop dilatation operator D should remove at most fields and add fields, we arrive at the ansatz of P ,m in (3.4). 9 Let us revisit the commutation relations in section 2.2.…”

Section: Constraints On Higher-loop Dilatationsmentioning

confidence: 99%

“…This correspondence continues to non-BPS operators in both of the O(N 2 c ) and O(N c ) cases. For the former case, an isomorphism between non-BPS states was conjectured between the LLM geometry and N = 4 SYM [5][6][7][8][9]. For the latter case, non-BPS states around the giant graviton are less well-understood.…”

Section: Introductionmentioning

confidence: 99%

Oscillating multiple giants

Suzuki¹

2021

J. High Energ. Phys.

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We propose a new example of the AdS/CFT correspondence between the system of multiple giant gravitons in AdS5× S5 and the operators with O(Nc) dimensions in $$ \mathcal{N} $$ N = 4 super Yang-Mills. We first extend the mixing of huge operators on the Gauss graph basis in the $$ \mathfrak{su}(2) $$ su 2 sector to all loops of the ’t Hooft coupling, by demanding the commutation of perturbative Hamiltonians in an effective U(p) theory, where p corresponds to the number of giant gravitons. The all-loop dispersion relation remains gapless at any λ, which suggests that harmonic oscillators of the effective U(p) theory should correspond to the classical motion of the D3-brane that is continuously connected to non-maximal giant gravitons.

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“…Some recent studies relating to the large R-charge JHEP08(2021)006 limit or Penrose limit, as well as applications in more general theories can be found in e.g. [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Non-negativity of BMN two-point functions with three string modes

Huang

2021

J. High Energ. Phys.

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Recently, we proposed a novel entry of the pp-wave holographic dictionary, which equated the Berenstein-Maldacena-Nastase (BMN) two-point functions in free $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory with the norm squares of the quantum unitary transition amplitudes between the corresponding tensionless strings in the infinite curvature limit, for the cases with no more than three string modes in different transverse directions. A seemingly highly non-trivial conjectural consequence, particularly in the case of three string modes, is the non-negativity of the BMN two-point functions at any higher genus for any mode numbers. In this paper, we further perform the detailed calculations of the BMN two-point functions with three string modes at genus two, and explicitly verify that they are always non-negative through mostly extensive numerical tests.

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Open giant magnons on LLM geometries

Cited by 15 publications

References 45 publications

Giant Gravitons Intersecting at Angles from Integrable Spin Chains

Giant Gravitons Intersecting at Angles from Integrable Spin Chains

Oscillating multiple giants

Non-negativity of BMN two-point functions with three string modes

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