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Interacting Double Coset Magnons
High Energy Physics - Theory · Submitted 16 Dec 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Adding the first correction of order m/n to the anomalous dimension, which arises at two loops, we find non-zero magnon interactions.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the anomalous dimensions of restricted Schur polynomials constructed using n~O(N) complex adjoint scalars Z and m complex adjoint scalars Y. | contribution 0.76 | 0.72 | 0.04 | asserted 0.73 |
| s1 | We fix m<<n so that our operators are almost half BPS. | method 0.86 | 0.80 | 0.03 | asserted 0.93 |
| s2 | At leading order in m/n this system corresponds to a dilute gas of m free magnons. | result 0.40 | 0.40 | 0.07 | asserted 1.00 |
| s3 | Adding the first correction of order m/n to the anomalous dimension, which arises at two loops, we find non-zero magnon interactions. | result 0.99 | 0.95 | 0.61 | asserted 1.00 |
| s4 | The form of this new operator mixing is studied in detail for a system of two giant gravitons with four strings attached. | contribution 0.98 | 0.88 | 0.16 | asserted 0.98 |
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The paper
Original abstract
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.
Human review
How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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The interactions of these excitations have not been explored in much detail yet [ref] .
Central Charges for the Double Coset · Introduction · 0.82
What it cites · 16 sentences without a confident label
Compares with 9 papers
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The result agrees with explicit one loop computations in [ref] , two loop computations in [ref] and even three loop computations performed in [ref] using a collective coordinate [ref] approach.
Open spin chains for giant gravitons and relativity · Introduction · 0.88
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The result agrees with explicit one loop computations in [ref] , two loop computations in [ref] and even three loop computations performed in [ref] using a collective coordinate [ref] approach.
Giant gravitons and the emergence of geometric limits in $\beta$-deformations of ${\cal N}=4$ SYM · Introduction · 0.88
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The result agrees with explicit one loop computations in [ref] , two loop computations in [ref] and even three loop computations performed in [ref] using a collective coordinate [ref] approach.
On the central charge extension of the N=4 SYM spin chain · Introduction · 0.88
Cites as background 5 papers
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In this section we will review those aspects of [ref] that are crucial for our study.
A double coset ansatz for integrability in AdS/CFT · Double Coset Background · 0.95
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Techniques to study the anomalous dimension of these operatotrs have also been developed, first for descriptions in which the giant graviton plus open string system is treated using words in the gauge theory to represent the open string [ref] and secondly for descriptions which treat all fields in the operator democratically [ref] .
Nonplanar Integrability · Introduction · 0.90
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Techniques to study the anomalous dimension of these operatotrs have also been developed, first for descriptions in which the giant graviton plus open string system is treated using words in the gauge theory to represent the open string [ref] and secondly for descriptions which treat all fields in the operator democratically [ref] .
Giant Graviton Oscillators · Introduction · 0.90
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