## Publications

17 results found

Arvanitakis AS, The $L_\infty$-algebra of the S-matrix, *Journal of High Energy Physics*, ISSN: 1029-8479

We point out that the one-particle-irreducible vacuum correlation functionsof a QFT are the structure constants of an $L_\infty$-algebra, whose Jacobiidentities hold whenever there are no local gauge anomalies. The LSZprescription for S-matrix elements is identified as an instance of the``minimal model theorem'' of $L_\infty$-algebras. This generalises thealgebraic structure of closed string field theory to arbitrary QFTs with a massgap and leads to recursion relations for amplitudes (albeit ones onlyimmediately useful at tree-level, where they reduce to Berends-Giele-stylerelations as shown in recent work).

Arvanitakis A, 2019, Chiral strings, topological branes, and a generalised Weyl-invariance, *International Journal of Modern Physics A*, Vol: 34, ISSN: 0217-751X

We introduce a sigma model Lagrangian generalising a number of new and old models which can be thought of as chiral, including the Schild string, ambitwistor strings, and the recently introduced tensionless AdS twistor strings. This “chiral sigma model” describes maps from a p-brane worldvolume into a symplectic space and is manifestly invariant under diffeomorphisms as well as under a “generalised Weyl invariance” acting on space–time coordinates and worldvolume fields simultaneously. Construction of the Batalin–Vilkovisky master action leads to a BRST operator under which the gauge-fixed action is BRST-exact; we discuss whether this implies that the chiral brane sigma model defines a topological field theory.

Arvanitakis AS, Blair CDA, Type II strings are Exceptional, *Physical Review Letters*, ISSN: 0031-9007

We construct the exceptional sigma model: a two-dimensional sigma modelcoupled to a supergravity background in a manifestly (formally)$E_{D(D)}$-covariant manner. This formulation of the background is provided byExceptional Field Theory (EFT), which unites the metric and form fields ofsupergravity in $E_{D(D)}$ multiplets before compactification. The realisationof the local symmetries of EFT on the worldsheet uniquely fixes theWeyl-invariant Lagrangian and allows us to relate our action to the usual typeIIA fundamental string action and a form of the type IIB $(m,n)$ action. Thisuniqueness "predicts" the correct form of the couplings to gauge fields in bothNeveu-Schwarz and Ramond sectors, without invoking supersymmetry.

Arvanitakis AS, Blair CDA, The Exceptional Sigma Model, *Journal of High Energy Physics*, ISSN: 1029-8479

We detail the construction of the exceptional sigma model, which describes astring propagating in the "extended spacetime" of exceptional field theory.This is to U-duality as the doubled sigma model is to T-duality. Symmetryspecifies the Weyl-invariant Lagrangian uniquely and we show how it reduces tothe correct 10-dimensional string Lagrangians. We also consider the inclusionof a Fradkin-Tseytlin (or generalised dilaton) coupling as well as areformulation with dynamical tension.

Arvanitakis AS, Barns-Graham AE, Townsend PK, 2018, Twistor description of spinning particles in AdS, *Journal of High Energy Physics*, Vol: 2018, ISSN: 1029-8479

The two-twistor formulation of particle mechanics in D-dimensional anti-deSitter space for D=4,5,7, which linearises invariance under the AdS isometrygroup Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinningparticle". The twistor variables are gauge invariant with respect to theinitial N local worldline supersymmetries; this simplifies aspects of thequantum theory such as implications of global gauge anomalies. We also givedetails of the two-supertwistor form of the superparticle, in particular themassive superparticle on AdS_5.

Arvanitakis AS, Mezincescu L, Townsend PK, 2017, Paul i-Lubanski, supertwistors, and the superspinning particle, *Journal of High Energy Physics*, Vol: 2017, ISSN: 1029-8479

We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a “superspinning particle” of superspin 1/2. We then use an Sl(2; K)Sl(2; K) -spinor formalism for K=R,C,HK=R,C,H to unify our 4D results with previous results for 3D and 6D.

Arvanitakis AS, Barns-Graham AE, Townsend PK, 2017, Anti-de Sitter Particles and Manifest (Super) Isometries, *PHYSICAL REVIEW LETTERS*, Vol: 118, ISSN: 0031-9007

Arvanitakis AS, Blair CDA, 2017, Black hole thermodynamics, stringy dualities and double field theory, *CLASSICAL AND QUANTUM GRAVITY*, Vol: 34, ISSN: 0264-9381

Arvanitakis AS, Mezincescu L, Townsend PK, 2016, Worldline CPT and massless supermultiplets, *INTERNATIONAL JOURNAL OF MODERN PHYSICS A*, Vol: 31, ISSN: 0217-751X

Arvanitakis AS, 2016, Higher Spins from Nambu-Chern-Simons Theory, *Communications in Mathematical Physics*, Vol: 348, Pages: 1017-1042, ISSN: 0010-3616

We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu–Chern–Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern–Simons (CS) action is to a Lie (2-)algebra. The novelty is that the gauge group of this theory is simple; this stands in contrast to previously understood interacting 3D higher spin theories in the frame-like formalism. We also consider the N = 8 supersymmetric NCS-matter model (BLG theory), where the NCS action originated: Its fully supersymmetric M2 brane configurations are interpreted as Hopf fibrations, the homotopy type of the (infinite) gauge group is calculated and its instantons are classified.

Arvanitakis AS, 2015, On solutions of minimal massive 3D gravity, *CLASSICAL AND QUANTUM GRAVITY*, Vol: 32, ISSN: 0264-9381

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- Citations: 12

Arvanitakis AS, Sevrin A, Townsend PK, 2015, Yang-Mills as Massive Chern-Simons Theory: A Third Way to Three-Dimensional Gauge Theories, *PHYSICAL REVIEW LETTERS*, Vol: 114, ISSN: 0031-9007

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- Citations: 4

Arvanitakis AS, Townsend PK, 2015, Minimal massive 3D gravity unitarity redux, *CLASSICAL AND QUANTUM GRAVITY*, Vol: 32, ISSN: 0264-9381

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- Citations: 13

Arvanitakis AS, Routh AJ, Townsend PK, 2014, Matter coupling in 3D 'minimal massive gravity', *CLASSICAL AND QUANTUM GRAVITY*, Vol: 31, ISSN: 0264-9381

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- Citations: 21

Arvanitakis AS, A Weyl-invariant action for chiral strings and branes

We introduce a sigma model lagrangian generalising a number of new and oldmodels which can be thought of as chiral, including the Schild string,ambitwistor strings, and the recently introduced tensionless AdS twistorstrings. This "chiral sigma model" describes maps from a $p$-brane worldvolumeinto a symplectic space and is manifestly diffeomorphism- and Weyl-invariantdespite the absence of a worldvolume metric. Construction of theBatalin-Vilkovisky master action leads to a BRST operator under which thegauge-fixed action is BRST-exact; we discuss whether this implies that thechiral brane sigma model defines a topological field theory.

Arvanitakis AS, Brane Wess-Zumino terms from AKSZ and exceptional generalised geometry as an $L_\infty$-algebroid

We reinterpret the generalised Lie derivative of M-theory $E_6$ generalisedgeometry as hamiltonian flow on a graded symplectic supermanifold. Thehamiltonian acts as the nilpotent derivative of the tensor hierarchy ofexceptional field theory. This construction is an M-theory analogue of theCourant algebroid and reveals the $L_\infty$-algebra underlying the tensorhierarchy. The AKSZ construction identifies that same hamiltonian with the lagrangian ofa 7-dimensional generalisation of Chern-Simons theory that reduces to theM5-brane Wess-Zumino term on 5-brane boundaries. The exercise repeats for thetype IIB $E_5$ generalised geometry and we discuss the relation to theD3-brane.

Arvanitakis AS, Generalising Courant algebroids to M-theory

We introduce M-theoretic generalisations of the notion of (exact) Courantalgebroid, and summarise their connections to generalised geometry, U-duality,and the physics of strings, membranes, and fivebranes. This is a summary of apaper [1], presented at the CORFU2018 workshop "Dualities and GeneralizedGeometries".

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