Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · 2610.10540

Null string holography in AdS from local BRST descent

Sarthak Duary·Sourav Maji
View original source ↗Read source document ↗Export metadata ↓

Abstract

We show that the radial sector of a Carroll-Weyl gauged null string in Poincaré $\mathrm{AdS}_D$ is locally trivial in BRST cohomology. In a quotient-adapted BFV basis, the radial coordinate, its conjugate momentum, and the associated ghosts form a contractible quartet. An explicit contracting homotopy extends this reduction to the full algebra of local spatial jets, leaving precisely the $(D-1)$-dimensional ILST BRST complex. The same quartet carries zero net Virasoro central charge, so that the anomaly condition of the parent theory, $D=27$, descends to the ILST condition $d=26$.

Explore related subjects

hep-th

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Sarthak Duary, Sourav Maji. 2026-10-07. Null string holography in AdS from local BRST descent. https://arxiv.org/abs/2610.10540

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

KEEP EXPLORING

Related papers

arXiv2026

Connecting boundary entropy and effective central charge at holographic interfaces

The entanglement entropy of intervals in $1+1$ interface CFTs is modified in two ways compared to a CFT without interface: there is a finite boundary entropy contribution, and, for an interval with an endpoint at the interface, the coefficient of the logarithmically divergent contribution -- which is usually proportional to the central charge of the CFT -- is modified to an effective central charge. We show that the latter modification can be understood as a limit of the former using holographic duals of interface CFTs. Furthermore, we show that a finite contribution also appears in intervals that do not cross the interface and it is needed to ensure strong subbaditivity of the entanglement entropy.

hep-th↗
arXiv2026

Gravity and the Higgs boson mass

According to usual calculations, both in flat and curved spacetime, the mass $m^2$ of a scalar particle is quadratically sensitive to the ultimate scale of the theory, the UV physical cutoff $Λ$. Building on previous work [1-3], here we calculate the one-loop effective action $Γ^{1l}$ for a scalar field on a spherical gravitational background, using the diffeomorphism invariant Fradkin-Vilkovisky path integral measure. This measure gives rise to an automatically dimensionless fluctuation determinant, that we calculate resorting to a numerical cut $N$ on the number of eigenvalues. We show that the UV-sensitivity of the radiative correction $δm^2$ to $m^2$ depends crucially on the relation between $N$ and the UV cutoff $Λ$. We find that if the transition from $N$ to $Λ$ is realized through the off-shell background radius, $δm^2$ presents the well-known quadratic sensitivity to $Λ$. If, instead, the transition is realized resorting to the on-shell radius that minimizes the classical action, the mass turns out to be only logarithmically sensitive to $Λ$.

hep-th↗
arXiv2026

Supergravity with Lagrange Multiplier Fields in 2 + 1 Dimensions

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is bilinear in the quantum fields and allows quantization without background fields. From the complete set of first-class constraints, the associated gauge transformations all follow. These differ from the standard supersymmetric diffeomorphism and local Lorentz invariances. Using the closed gauge algebra, we construct the Faddeev-Popov-Nielsen path integral and then show how a Lagrange multiplier field can be introduced to remove higher-loop contributions while preserving unitarity and gauge invariance. This indicates the possibility of being able to use a Lagrange multiplier field to formulate a unitary and renormalizable model for Einstein-Cartan gravity coupled to the Standard Model in 3+1 dimensions.

hep-th↗