arXiv subjects

Lucas Kocia Kovalsky

Publications and source records attributed to Lucas Kocia Kovalsky.

3 recordsLinked to original sources

arXiv2025

Non-Orientable AdS$_3$ and its Holography

Known solutions to three-dimensional gravity with negative cosmological constant so far consist of either AdS$_3$ or its orbifolds (or orientifolds). We geometrically derive a novel non-orientable AdS$_3$ spacetime that is an orientifold of a spinor double cover of AdS$_3$, unlike existing solutions. This spacetime's universal cover contains a lightlike instead of spacelike compact direction. We show that its gravity theory possesses a simpler excited state spectrum and exhibits a Chern-Simons/Wess-Zumino-Witt (CS/WZW) correspondence between only one independent CS term and boundary chiral WZW term. This leads us to suggest that CS theory is able to more fully describe non-orientable pure gravity theory compared to orientable gravity.

hep-th↗

arXiv2023

AdS$_3$ Vacuum State from Four Minkowski Vacuum States

We show that a tensor product of four specific $1{+}2$ Minkowski vacuum states is a self-consistent vacuum state for an infinite set of three-dimensional anti-de Sitter (AdS$_3$) spacetimes if their parity and time-reversal symmetry are broken in a particular way. The infinite set consists of pairs of all AdS$_3$ with non-zero unique scalar curvatures.

hep-th↗

arXiv2023

Octonions and Quantum Gravity through the Central Charge Anomaly in the Clifford Algebra

We derive a theory of quantum gravity containing an AdS$_3$ isometry/qubit duality. The theory is based on a superalgebra generalization of the enveloping algebra of the homogeneous AdS$_3$ spacetime isometry group and is isomorphic to the complexified octonion algebra through canonical quantization. Its first three quaternion generators correspond to an $\hbar$-quantized AdS$_3$ embedded spacetime and its remaining four non-quaternion generators to a $G$-quantized embedding $2+2$ Minkowski spacetime. The quaternion algebra's expression after a monomorphism into the complexified Clifford algebra produces a two-dimensional conformal operator product expansion with a central charge anomaly, which results in an area-law $\hbar G$ scaling satisfying the holographic principle and defines an "arrow of time". This relationship allows us to extend the theory through supersymmetry- and conformal-breaking $\mathcal O(G)$ transformations of the embedding to produce perturbed AdS$_3$ spacetimes and derive a resolution to the black hole information paradox with an explicit mechanism.

hep-th↗