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Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills

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abstract

We explain how the string spectrum in flat space and pp-waves arises from the large $N$ limit, at fixed $g^2_{YM}$, of U(N) ${\cal N} =4$ super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams. We also discuss some other aspects of pp-waves and we present a matrix model associated to the DLCQ description of the maximally supersymmetric eleven dimensional pp-waves.

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2026 11 2025 6

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UNVERDICTED 17

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representative citing papers

Two roads to fortuity in ABJM theory

hep-th · 2025-12-29 · unverdicted · novelty 7.0

Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.

Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation

gr-qc · 2026-04-15 · unverdicted · novelty 7.0

Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.

Groenewold-Moyal twists, integrable spin-chains and AdS/CFT

hep-th · 2026-04-08 · unverdicted · novelty 7.0

A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.

Inner Horizon Saddles and a Spectral KSW Criterion

hep-th · 2026-05-08 · unverdicted · novelty 6.0

Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.

Non-planar corrections in the symmetric orbifold

hep-th · 2026-05-07 · unverdicted · novelty 6.0

Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.

Infinite-dimensional symmetries in plane wave spacetimes

hep-th · 2025-08-18 · unverdicted · novelty 6.0

Identification of a new infinite-dimensional asymptotic symmetry algebra with central extensions for the four-dimensional Nappi-Witten spacetime, whose phase space includes general pp-wave metrics and Penrose limits of Kerr black holes.

Uni-vector deformations, D0-bound states and DLCQ

hep-th · 2026-04-13 · unverdicted · novelty 5.0

Uni-vector deformations in Type IIA map D0 backgrounds to themselves and generate F1-D0 and D2-D0 bound states while relating to DLCQ of M-theory.

Penrose limits and TsT for fibered $I$-branes

hep-th · 2025-10-28 · unverdicted · novelty 3.0

Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.

Black hole spectroscopy: from theory to experiment

gr-qc · 2025-05-29 · unverdicted · novelty 2.0

A review summarizing the state of the art in black hole quasinormal modes, ringdown waveform modeling, current LIGO-Virgo-KAGRA observations, and prospects for LISA and next-generation detectors.

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