Searcharxiv⌕ Search

arXiv · hep-th/9812066

Conformal Symmetry on World Volumes of Branes

Abstract

We show how the anti-de Sitter isometries of a brane solution of supergravity theory produce superconformal invariance of their world-volume action. In this way linear as well as non-linear superconformal actions are obtained in various dimensions. Two particular examples are a conformal action with the antisymmetric tensor in 6 dimensions in Pasti-Sorokin-Tonin formulation, and superconformal mechanics.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Piet Claus, Renata Kallosh, Antoine Van Proeyen. 2000-12-07. Conformal Symmetry on World Volumes of Branes. https://arxiv.org/abs/hep-th/9812066

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Who Writes the Gravitational Second Law of Thermodynamics?

We define gravitational entropy as the manifestly integrable surface charge associated with local transverse Lorentz boosts, entirely bypassing the conventional reliance on spacetime diffeomorphisms. Any notion of entropy must satisfy the second law. To answer the question posed in the title, an analogy with Newtonian classical mechanics is instructive: Newton's second law of motion is written by inertial observers who are defined by the first law of mechanics. We show that the second law of gravitational thermodynamics is written by free-fall observers with path parameterization in which the non-affinity of the geodesics is equal to the expansion of their velocity vector field. We then provide a proof of the local second law by studying variations in entropy as viewed by this class of covariantly-defined causal free-fall observers. We show that the entropy variation is strictly non-decreasing, provided the matter sector satisfies the integrated strong energy condition along the observer path.

hep-th↗

Learning Scattering Amplitudes with Transformer Reinforcement Learning

We introduce a transformer reinforcement learning algorithm that learns to solve high loop-level scattering amplitudes in planar N = 4 Super Yang-Mills theory. Our algorithm improves on previous transformer-only results by incorporating previously derived symmetries and relationships into the learning algorithm. This results in a greatly decreased fraction of the solution that needs to be known a priori to solve the entire problem. An additional benefit is that our algorithm also ensures that every output obeys the set of known relationships. Rather than predicting all coefficients independently, the model proposes assignments that are propagated through exact linear relations, while MCTS searches over assignments when propagation alone is insufficient. This is crucial to the generalization of machine learning approaches to higher loops, as without this, there is no way to overcome the factorially scaling of state sizes and compare to results derived via other methods. Using the symbology representation of the form factor, we frame the problem as learning a mapping between discrete sequences and integer coefficients.

hep-th↗

Wilsonian exact renormalization group flow in the gauged Nambu--Jona-Lasinio model

We study the Wilsonian exact renormalization group flow of the gauged Nambu--Jona-Lasinio (NJL) model, a four-dimensional $U(1)$ gauge theory with chirally invariant four-Fermi interactions, by using the gradient flow exact renormalization group~(GFERG). Our gauge-invariant ansatz (truncation) for the 1PI Wilson action keeps a general photon kinetic function~$\mathcal{K}_τ(k^2)$, the fermion mass, and the scalar and vector four-Fermi couplings. For a fixed gauge coupling~$e^2$, the Gaussian and NJL (quasi-)fixed points on the critical surface merge at~$e_c^2\simeq17$, as anticipated by the ladder Schwinger--Dyson equation and the conventional Wilsonian renormalization group. We then let $e^2$ itself flow. Owing to the manifest gauge invariance of the GFERG, the flow of~$e^2$ is governed solely by the photon anomalous dimension~$γ_A$, which remains positive along both branches up to the merging point. Hence, no fixed point with~$e^2\neq0$ exists. Flows from a sufficiently large~$e^2$ in the ultraviolet (UV) reach the chirally broken phase even for vanishing four-Fermi couplings, so the gauge interaction does trigger chiral symmetry breaking. The merging point, however, is not a fixed point, and the gauge coupling vanishes in any continuum limit within our truncation.

hep-th↗