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The algebra of diffeomorphisms derived from general coordinate transformations on commuting coordinates is represented by differential operators on noncommutative spaces. The algebra remains unchanged, the comultiplication however is…

高能物理 - 理论 · 物理学 2007-05-23 Marija Dimitrijevic , Julius Wess

We consider a deformation of the BF theory in any dimension by means of the antifield BRST formalism. Possible consistent interaction terms for the action and the gauge symmetries are analyzed and we find a new class of topological gauge…

高能物理 - 理论 · 物理学 2010-05-28 Noriaki Ikeda

Results that illuminate the physical interpretation of states of nonperturbative quantum gravity are obtained using the recently introduced loop variables. It is shown that: i) While local operators such as the metric at a point may not be…

高能物理 - 理论 · 物理学 2011-04-20 Abhay Ashtekar , Carlo Rovelli , Lee Smolin

By conformally coupling vector and hyper multiplets in Minkowski space, we obtain a class of field theories with extended rigid conformal supersymmetry on any Lorentzian four-manifold admitting twistor spinors. We construct the conformal…

高能物理 - 理论 · 物理学 2015-06-15 Paul de Medeiros , Stefan Hollands

The properties of static, spherically symmetric configurations are considered in the framework of two models of nonlocally corrected gravity, suggested in S. Deser and R. Woodard., Phys. Rev. Lett. 663, 111301 (2007), and S. Capozziello et…

高能物理 - 理论 · 物理学 2010-04-06 K. A. Bronnikov , E. Elizalde

We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly…

高能物理 - 理论 · 物理学 2009-11-18 Michael Kiermaier , Yuji Okawa

We deform the standard four dimensional $\N=1$ superspace by making the odd coordinates $\theta$ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of the coordinates. In particular,…

高能物理 - 理论 · 物理学 2009-11-10 Nathan Seiberg

We construct the $\lambda$-model on $SU(3)_k/U(2)_k$ and we compute the one-loop $\beta$-function for the deformation parameter $\lambda$. Its non-compact version for $SU(2,1)_{-k}/U(2)_{-k}$ is also considered, whose target space admits an…

高能物理 - 理论 · 物理学 2025-11-12 Georgios Itsios , Konstantinos Siampos

Nonrelativistic string theory is a self-contained corner of string theory, with its string spectrum enjoying a Galilean-invariant dispersion relation. This theory is unitary and ultraviolet complete, and can be studied from first…

高能物理 - 理论 · 物理学 2023-03-01 Ziqi Yan

We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal…

高能物理 - 理论 · 物理学 2020-12-08 Songyuan Li , Jan Troost

The submitted paper regards the example of the Conformal Field Theory on a 2d manifold which metric has a point-like singularity.Since this manifold is not conformally equivalent to that with the flat space-time metric,it's naturally to…

高能物理 - 理论 · 物理学 2009-10-22 Dimitri Polyakov

The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical $r$-matrices satisfying the classical YB equation.…

高能物理 - 理论 · 物理学 2018-09-26 Domenico Orlando , Susanne Reffert , Yuta Sekiguchi , Kentaroh Yoshida

In the context of loop quantum gravity, quantum states of geometry are mathematically defined as spin networks living on graphs embedded in the canonical space-like hypersurface. In the effort to study the renormalisation flow of loop…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Etera R. Livine

We investigate in detail the critical $N{=}2$ fermionic string with and without a global ${\bf Z}_2$ twist. An analysis of BRST cohomology shows that twisted sectors contain massless `spacetime' fermions which are {\it non-local\/} with…

高能物理 - 理论 · 物理学 2009-10-28 J. Bischoff , S. V. Ketov , O. Lechtenfeld

We study the spectrum, unitarity bound and holographic central charge of spin-2 operators in a warped $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_\psi \times \mathcal{I}_\rho$ background in the Type IIB theory. We…

高能物理 - 理论 · 物理学 2024-06-13 Shuo Zhang

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

高能物理 - 理论 · 物理学 2022-11-30 Luis F. Alday , Shai M. Chester

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , A. Pashnev , M. Tsulaia

We discuss the discrete as well as the continuous symmetry transformations for a three $(2+1)$-dimensional $(3D)$ combined system of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST)…

高能物理 - 理论 · 物理学 2026-01-12 R. Kumar , R. P. Malik

We construct the ambitwistor pure spinor string in a general type II supergravity background in the semi-classical regime. Almost all supergravity constraints are obtained from nilpotency of the BRST charge and further consistency…

高能物理 - 理论 · 物理学 2015-07-14 Osvaldo Chandia , Brenno Carlini Vallilo

A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated operators corresponding to areas of 2-surfaces…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Abhay Ashtekar , Jerzy Lewandowski