2016
DOI: 10.1007/jhep01(2016)171
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String-inspired BCJ numerators for one-loop MHV amplitudes

Song He,
Ricardo Monteiro,
Oliver Schlotterer

Abstract: We find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory numerators satisfy the Bern-Carrasco-Johansson (BCJ) duality between color and kinematics, so that the gravity numerators are simply the square of the gauge-theory ones. The duality holds because the numerators can be written in terms of structure constants of a kinematic algebra, which is familiar from the BCJ organization of s… Show more

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Cited by 114 publications

(113 citation statements)
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“…The above result is the same as the following tensors of screenings 38) as was expected for a quantum group. The action of antipode and counit are represented by reversing and removing the contour of a screening respectively.…”
Section: Jhep12(2020)106supporting
confidence: 83%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…The above result is the same as the following tensors of screenings 38) as was expected for a quantum group. The action of antipode and counit are represented by reversing and removing the contour of a screening respectively.…”
Section: Jhep12(2020)106supporting
confidence: 83%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…The fact that gauge theory has only one Pfaffian, depending on a set of polarisation vectors ( µ i ), while gravity has two Pfaffians, each depending on a different set of polarisation vectors ( µ i and˜ µ i ), is a clear manifestation of gravity as a 'square' of gauge theory, in agreement with the Kawai-Lewellen-Tye relations [41] and with the Bern-Carrasco-Johansson (BCJ) double copy [42,43]. At loop-level, the BCJ double copy is known to hold at one-loop in a variety of cases, including certain classes of amplitudes at any multiplicity [2,36,[44][45][46], so it is natural to propose that one-loop formulae based on the scattering equations will also exhibit this property. The proposal of [25] is that the super Yang-Mills amplitude is determined by 12…”
Section: Super-yang-mills Theorymentioning
confidence: 57%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
“…The skinny graviton can therefore be taken to be equal to the fat graviton. While this result seems to be at odds with (32), recall that they differ only by a gauge transformation (which leaves φ and B µν unaffected at this order) and that the skinny graviton we recover is traceless, as we would expect from eq. ( 30).…”
Section: The Linear Fat Graviton For Schwarzschildmentioning
confidence: 59%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.