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Article
Open AccessThe \( \mathcal{N} \) = 2 prepotential and the sphere free energy
We study the mass-deformed sphere free energy of three-dimensional N \( \mathcal{N} \) ...
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Article
Open AccessA bispinor formalism for spinning Witten diagrams
We develop a new embedding-space formalism for AdS4 and CFT3 that is useful for evaluating Witten diagrams for operators with spin. The basic variables are Killing spinors for the bulk AdS4 and conformal Killing ...
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Article
Open AccessThe holographic contributions to the sphere free energy
We study which bulk couplings contribute to the S3 free energy F( m \( \mathfrak{m} \) ...
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Article
\( T\overline{T} \)-deformed actions and (1,1) supersymmetry
We describe an algorithmic method to calculate the TT¯\( T\overline{T} \) deformed Lagrangian of a given seed theory by solving an algebraic system of equations. This method is derived from the topological gravit...
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Article
Open AccessSpinning geodesic Witten diagrams
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten...
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Article
Open AccessBoundary terms and three-point functions: an AdS/CFT puzzle resolved
N = 8 ...
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Article
Open AccessAbsence of U(1) anomalous superamplitudes in \( \mathcal{N} \) ≥ 5 supergravities
We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in ...
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Article
Open AccessOff-shell Poincaré supergravity
We present the action and transformation rules of Poincaré supergravity coupled to chiral multiplets (z α , χ ...
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Article
Open AccessExplicitly broken supersymmetry with exactly massless moduli
The AdS/CFT correspondence is applied to an analogue of the little hierarchy problem in three-dimensional supersymmetric theories. The bulk is governed by a super-gravity theory in which a U(1) × U(1) R-symmet...
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Article
Open Accessde Sitter supersymmetry revisited
We present the basic N $$ \mathc...
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Article
Open AccessHolography for \( \mathcal{N} \) = 2* on S 4
We find the gravity dual of N \( \mathcal{N} \) = 2* super-Yang-Mills theo...
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Article
Open AccessThe holography of F -maximization
We find new supersymmetric backgrounds of \( \mathcal{N} \) = 8 gauged supergravity in four Euclidean dimensions that a...
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Article
On renormalization group flows and the a-theorem in 6d
We study the extension of the approach to the a-theorem of Komargodski and Schwimmer to quantum field theories in d = 6 spacetime dimensions. The dilaton effective action is obtained up to 6th order in derivative...
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Article
Integrands for QCD rational terms and \( \mathcal{N} = {4} \) SYM from massive CSW rules
We use massive CSW rules to derive explicit compact expressions for integrands of rational terms in QCD with any number of external legs. Specifically, we present all-n integrands for the one-loop all-plus and on...
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Article
The D 2k R 4 invariants of \( \mathcal{N} = 8 \) supergravity
The existence of a linearized SUSY invariant for \( \mathcal{N} = 8 \) supergravity whose gravitational components are usually called R 4 was established ...
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Article
A simple approach to counterterms in N=8 supergravity
We present a simple systematic method to study candidate counterterms in \( \mathcal{N} = 8 \) supergravity. Complicate...
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Article
Solution to the Ward identities for superamplitudes
Supersymmetry and R-symmetry Ward identities relate on-shell amplitudes in a supersymmetric field theory. We solve these Ward identities for N K MHV amplitudes of the maximally s...
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Article
Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory
We prove that 1-loop n-point NMHV superamplitudes in \( \mathcal{N} = 4 \) SYM theory are dual conformal covariant for ...
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Chapter and Conference Paper
Spatial geometry and the Wu-Yang ambiguity
We display continuous families of SU(2) vector potentials A i a (χ) in 3 space dimensions which generate the same magnetic field B ai(x) (with det B ≠ 0). These Wu-Y...
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Chapter
Introduction to Supersymmetry
One theme which underlies the development of particle physics is the application of ever broader symmetries to particle interactions. A new symmetry always relates and unifies previously distinct phenomena. Th...
