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In this note we address the worldsheet description of 4-dimensional N=8 supergravity using ambitwistors. After gauging an appropriate current algebra, we argue that the only physical vertex operators correspond to the N=8 supermultiplet. It…

High Energy Physics - Theory · Physics 2015-07-13 Arthur Lipstein , Volker Schomerus

Supersymmetry might be broken, in the real world, by anomalies that affect composite operators, while leaving the action supersymmetric. New constraint equations that govern the composite operators and their anomalies are examined. It is…

High Energy Physics - Theory · Physics 2007-05-23 John Dixon

The noncritical $D=4$ $W_3$ string is a model of $W_3$ gravity coupled to two free scalar fields. In this paper we discuss its BRST quantization in direct analogy with that of the $D=2$ (Virasoro) string. In particular, we calculate the…

High Energy Physics - Theory · Physics 2015-06-26 Peter Bouwknegt , Jim McCarthy , Krzysztof Pilch

We derive a generalized equation for the evolution of tensor perturbations in a cosmological background, taking into account higher-curvature contributions and a tree-level coupling to the dilaton in the string frame. The equation is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Gasperini

The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show that the low energy dynamics of open strings ending on n…

High Energy Physics - Theory · Physics 2021-08-06 Jaume Gomis , Ziqi Yan , Matthew Yu

We study the $N=2$ string with a real structure on the $(2,2)$ spacetime, using BRST methods. Several new features emerge. In the diagonal basis, the operator $\exp(\lambda \int^z J^{\rm tot})$, which is associated with the moduli for the…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope

Yang-Baxter (YB) deformations of string sigma model provide deformed target spaces. We propose that homogeneous YB deformations always lead to a certain class of $\beta$-twisted backgrounds and represent the bosonic part of the supergravity…

High Energy Physics - Theory · Physics 2017-09-20 Jun-ichi Sakamoto , Yuho Sakatani , Kentaroh Yoshida

A systematic scheme is developed for solving conformal algebra of the massive vertex operators in the old covariant first quantized string theory. Using the first massive level in the covariant spectrum of bosonic open string theory in flat…

High Energy Physics - Theory · Physics 2009-08-19 Chuan-Tsung Chan , Wei-Ming Chen

In this paper we construct the ambitwistor superstring in the Green-Schwarz formulation. The model is obtained from the related pure spinor version. We show that the spectrum contains only ten dimensional supergravity and that kappa…

High Energy Physics - Theory · Physics 2017-08-02 Osvaldo Chandia , Brenno Carlini Vallilo

We study weighted composition operators on Hilbert spaces of analytic functions on the unit ball with kernels of the form $(1-<z,w>)^{-\gamma}$ for $\gamma>0$. We find necessary and sufficient conditions for the adjoint of a weighted…

Functional Analysis · Mathematics 2012-07-26 Trieu Le

We show that twisted doubled tori can be used to construct a general class of worldsheet models describing non-geometric string backgrounds. By employing a first order formulation of interacting chiral bosons, we first refine the analysis…

High Energy Physics - Theory · Physics 2011-06-02 Gianguido Dall'Agata , Nikolaos Prezas

We present the mathematical considerations which determine all gauge invariant actions and anomaly candidates in gauge theories of standard type such as ordinary or gravitational Yang Mills theories. Starting from elementary concepts of…

High Energy Physics - Theory · Physics 2017-08-23 Norbert Dragon , Friedemann Brandt

BRST operators for two-dimensional theories with spin-2 and spin-$s$ currents, generalising the $W_3$ BRST operator of Thierry-Mieg, have previously been obtained. The construction was based on demanding nilpotence of the BRST operators,…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , X. J. Wang , S. C. Zhao

We discuss composite operators in N=4 super Yang-Mills theory and their realisations as superfields on different superspaces. The superfields that realise various operators on analytic superspace may be different in the free, interacting…

High Energy Physics - Theory · Physics 2011-07-19 P. J. Heslop , P. S. Howe

We study the space-time CPT properties of string theories formulated in a flat Minkowski background of even dimension. We define CPT as a world-sheet transformation acting on the vertex operators and we prove the CPT invariance of the…

High Energy Physics - Theory · Physics 2008-11-26 Andrea Pasquinucci , Kaj Roland

We propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated…

High Energy Physics - Theory · Physics 2021-09-29 Matthias R. Gaberdiel , Rajesh Gopakumar

In this paper we discuss deformations of the BRST operator of the fermionic string. These deformations preserve nilpotency of the BRST operator and correspond to turning on infinitesimal Gravitino and Ramond-Ramond spacetime fields.

High Energy Physics - Theory · Physics 2009-11-07 Ioannis Giannakis

An affine vertex operator construction at arbitrary level is presented which is based on a completely compactified chiral bosonic string whose momentum lattice is taken to be the (Minkowskian) affine weight lattice. This construction is…

High Energy Physics - Theory · Physics 2009-10-30 R. W. Gebert , H. Nicolai

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed…

High Energy Physics - Theory · Physics 2009-10-31 Ali H. Chamseddine

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Cresus F. L. Godinho