Superspace
View article: Symmetry-Based Computational Tools for Magnetic Crystallography
Symmetry-Based Computational Tools for Magnetic Crystallography Open
In recent years, two important advances have opened new doors for the characterization and determination of magnetic structures. Firstly, researchers have produced computer-readable listings of the magnetic or Shubnikov space groups. Secon…
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First Step Towards a Devil's Staircase in Spin‐Crossover Materials Open
The unprecedented bimetallic 2D coordination polymer {Fe[(Hg(SCN) 3 ) 2 ](4,4′‐bipy) 2 } n exhibits a thermal high‐spin (HS)↔low‐spin (LS) staircase‐like conversion characterized by a multi‐step dependence of the HS molar fraction γ HS . B…
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Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace Open
We review the Schwinger-Keldysh, or in-in, formalism for studying quantum dynamics of systems out-of-equilibrium. The main motivation is to rephrase well known facts in the subject in a mathematically elegant setting, by exhibiting a set o…
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Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace Open
Supersymmetric integrands for the two-loop five-point amplitudes in ten-dimensional super Yang--Mills and type II supergravity are proposed. The kinematic numerators are manifestly local and satisfy the duality between color and kinematics…
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Towards one-loop SYM amplitudes from the pure spinor BRST cohomology Open
In this paper, we outline a method to compute supersymmetric one-loop integrands in ten-dimensional SYM theory. It relies on the constructive interplay between their cubic-graph organization and BRST invariance of the underlying pure spino…
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Tunneling wave function of the universe Open
The tunneling wave function of the universe is investigated in a minisuperspace framework of a de Sitter universe with a quantum scalar field, treated as a perturbation. We consider three different approaches to defining the tunneling wave…
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Conformal supergravity in five dimensions: new approach and applications Open
We develop a new off-shell formulation for five-dimensional (5D) conformal\nsupergravity obtained by gauging the 5D superconformal algebra in superspace.\nAn important property of the conformal superspace introduced is that it reduces\nto …
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First step towards a Devil's Staircase in Spin Crossover materials First step towards Devil's Staircase in Spin Crossover materials Open
The devil is in the detail: Periodic and aperiodic spin-state concentration waves form during "Devil's staircase"-type spincrossover in a new bimetallic 2D coordination polymer {Fe[(Hg(SCN)3)2](4,4'-bipy)2}n.The unprecedented bimetallic 2D…
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Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow Open
We present a detailed and self-contained analysis of the universal SchwingerKeldysh effective field theory which describes macroscopic thermal fluctuations of a relativistic field theory, elaborating on our earlier construction. We write a…
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Covariant approaches to superconformal blocks Open
We develop techniques for computing superconformal blocks in 4d superconformal field theories. First we study the super-Casimir differential equation, deriving simple new expressions for superconformal blocks for 4-point functions containi…
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Constrained superfields in supergravity Open
We analyze constrained superfields in supergravity. We investigate the\nconsistency and solve all known constraints, presenting a new class that may\nhave interesting applications in the construction of inflationary models. We\nprovide the…
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Invariants for minimal conformal supergravity in six dimensions Open
We develop a new off-shell formulation for six-dimensional conformal\nsupergravity obtained by gauging the 6D ${\\cal N} = (1, 0)$ superconformal\nalgebra in superspace. This formulation is employed to construct two invariants\nfor 6D ${\\…
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Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions Open
The main aim of this paper is to study the scattering amplitudes in gauge field theories with maximal supersymmetry in dimensions D = 6, 8 and 10. We perform a systematic study of the leading ultraviolet divergences using the spinor helici…
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The geometry of supermanifolds and new supersymmetric actions Open
We construct the Hodge dual for supermanifolds by means of the Grassmannian\nFourier transform of superforms. In the case of supermanifolds it is known that\nthe superforms are not sufficient to construct a consistent integration theory\na…
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Chern-Simons Current of Left and Right Chiral Superspace in Graphene Wormhole Open
Starting from the basic definitions of Chern-Simons current, it is possible to calculate its values with a quantum machine learning approach, the so-called supersymmetric support Dirac machine. The related supercurrent is generated from th…
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Superconformal field theory in three dimensions: correlation functions of conserved currents Open
For $$ \mathcal{N} $$ -extended superconformal field theories in three spacetime dimensions (3D), with 1 ≤ $$ \mathcal{N} $$ ≤ 3, we compute the two- and three-point correlation functions of the supercurrent and the flavour current multipl…
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Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space Open
A bstract $$ \mathcal{N} $$ -extended massless arbitrary integer and half-integer spin supermultiplets in four dimensional flat space are studied in the framework of light-cone gauge formalism. For such multiplets, by using light-cone mo…
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Chiral correlators in N = 2 superconformal quivers Open
We consider a family of N $$ \mathcal{N} $$ = 2 superconformal field theories in four dimensions, defined as ℤ q orbifolds of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a per…
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Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space Open
A bstract In the framework of light-cone gauge formulation, massless arbitrary spin N=1 supermultiplets in four-dimensional flat space are considered. We study both the integer spin and half-integer spin supermultiplets. For such supermult…
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New form of the NSVZ relation at the two-loop level Open
Recently the exact NSVZ β-function was rewritten in the form of a relation between the β-function and the anomalous dimensions of the quantum gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields. It was also suggest…
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One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory Open
We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the superfield proper-ti…
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Curvature squared invariants in six-dimensional $$ \mathcal{N} $$ = (1, 0) supergravity Open
A bstract We describe the supersymmetric completion of several curvature-squared invariants for $$ \mathcal{N} $$ = (1, 0) supergravity in six dimensions. The construction of the invariants is based on a close interplay between superconf…
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ℛ2 supergravity Open
We formulate R2 pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both “old” and “new” minimal formulations of aux…
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Constructing N$$ \\mathcal{N} $$ = 4 Coulomb branch superamplitudes Open
We study scattering amplitudes of massive BPS states on the Coulomb branch of 4dN = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructe…
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Gaugino condensation and geometry of the perfect square Open
Gaugino condensation plays a crucial role in the formation of dS vacua. However, the theory of this effect is still incomplete. In 4d the perfect square nature of gaugino couplings follows from the square of auxiliaries in the supergravity…
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ε∇4 R 4 type invariants and their gradient expansion Open
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Hodge dualities on supermanifolds Open
We discuss the cohomology of superforms and integral forms from a new\nperspective based on a recently proposed Hodge dual operator. We show how the\nsuperspace constraints (a.k.a. rheonomic parametrisation) are translated from\nthe space …
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N = 2 dilaton Weyl multiplet in 4D supergravity Open
A bstract We construct the dilaton Weyl multiplet for N = 2 conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the…
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Superfield continuous spin equations of motion Open
We propose a description of %manifestly supersymmetric continuous spin\nrepresentations in $4D,\\mathcal{N}=1$ Minkowski superspace at the level of\nequations of motions. The usual continuous spin wave function is promoted to a\nchiral or …
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Lorentzian vacuum transitions: Open or closed universes? Open
We consider the generalisation of quantum tunneling transitions in the WKB\napproximation to the time-independent functional Schr\\"odinger and\nWheeler-DeWitt equations. Following a Lorentzian approach, we compute the\ntransition rates am…