A worldline theory for supergravity

Bonezzi, Roberto; Meyer, Adiel; Sachs, Ivo

doi:10.1007/jhep06(2020)103

Cited by 28 publications

(35 citation statements)

References 32 publications

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“…We also believe that spin can be incorporated in a natural way, by including classical spin vectors S µ i for each black hole with their own propagators and worldline vertices. In fact, the WQFTs of supersymmetric spinning particles already JHEP02(2021)048 exist [142,143]. It will be interesting to see how this relates to ongoing work on amplitudes in higher-spin field theories (see e.g.ref.…”

Section: Jhep02(2021)048mentioning

confidence: 97%

Classical black hole scattering from a worldline quantum field theory

Mogull

Plefka

Steinhoff

2021

J. High Energ. Phys.

220

154

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A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of black holes. The link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagator, which may be inserted into a traditional definition of the S-matrix in terms of time-ordered correlators. To calculate expectation values in the WQFT a new set of Feynman rules is introduced which treats the gravitational field hμν(x) and position $$ {x}_i^{\mu}\left({\tau}_i\right) $$ x i μ τ i of each black hole on equal footing. Using these both the 3PM three-body gravitational radiation 〈hμv(k)〉 and 2PM two-body deflection $$ \Delta {p}_i^{\mu } $$ Δ p i μ from classical black hole scattering events are obtained. The latter can also be obtained from the eikonal phase of a 2 → 2 scalar S-matrix, which we show corresponds to the free energy of the WQFT.

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Section: Jhep02(2021)048mentioning

confidence: 97%

Classical black hole scattering from a worldline quantum field theory

Mogull

Plefka

Steinhoff

2021

J. High Energ. Phys.

220

154

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show abstract

“…For this reason, together with the complication of computing on a curved worldsheet, it is often preferable to fix the dilaton equation from consistency [22,23,[31][32][33]. Rather than discussing the general procedure, the idea is easily understood by giving the details in the simplest case at hand.…”

Section: Jhep10(2021)192mentioning

confidence: 99%

Beta functions for the duality-invariant sigma model

Bonezzi

Codina

Hohm

2021

J. High Energ. Phys.

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The O(d, d) invariant worldsheet theory for bosonic string theory with d abelian isometries is employed to compute the beta functions and Weyl anomaly at one-loop. We show that vanishing of the Weyl anomaly coefficients implies the equations of motion of the Maharana-Schwarz action. We give a self-contained introduction into the required techniques, including beta functions, the Weyl anomaly for two-dimensional sigma models and the background field method. This sets the stage for a sequel to this paper on generalizations to higher loops and α′ corrections.

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“…In other words, the space where the couplings of the two‐dimensional theory live is the target space and it is meaningful in itself as a physical spacetime. This is not expected to be the case in general, see however [26] for a derivation of Einstein equations from the quantization of the

N = 4

superparticle. Nevertheless, one can still pose questions regarding duality of higher degree (gauge) fields in higher dimensions and the properties of the corresponding space of couplings.…”

Section: Duality For Scalars In 2dmentioning

confidence: 99%

Duality and Higher Buscher Rules in p‐Form Gauge Theory and Linearized Gravity

Chatzistavrakidis

Karagiannis

Ranjbar

2021

Fortschritte der Physik

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We perform an in‐depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, p‐form gauge fields, linearized gravitons or (p, 1) mixed symmetry tensors. Following a similar reasoning to the derivation of the Buscher rules for string background fields under T‐duality, we show that the couplings for all classes of aforementioned multi‐field theories transform according to one of two sets of duality rules. These sets comprise the ordinary Buscher rules and their higher counterpart; this is a generic feature of multi‐field theories in spacetime dimensions where the field strength and its dual are of the same degree. Our analysis takes into account topological theta terms and generalized B‐fields, whose behavior under duality is carefully tracked. For a 1‐form or a graviton in 4D, this reduces to the inversion of the complexified coupling or generalized metric under electric/magnetic duality. Moreover, we write down an action for linearized gravity in the presence of θ‐term from which we obtain previously suggested on‐shell duality and double duality relations. This also provides an explanation for the origin of theta in the gravitational duality relations as a specific additional sector of the linearized gravity action.

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A worldline theory for supergravity

Cited by 28 publications

References 32 publications

Classical black hole scattering from a worldline quantum field theory

Classical black hole scattering from a worldline quantum field theory

Beta functions for the duality-invariant sigma model

Duality and Higher Buscher Rules in p‐Form Gauge Theory and Linearized Gravity

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