Results 51 to 60 of about 33,027 (196)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

On semisimplicity of quantum cohomology of $\mathbb P^1$-orbifolds

, 2018
For a $\mathbb P^1$-orbifold $\mathscr C$, we prove that its big quantum cohomology is generically semisimple. As a corollary, we verify a conjecture of Dubrovin for orbi-curves.
Ke, Hua-Zhong
core   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

c = 1 Two Dimensional Quantum Gravity

, 1992
The continuum (Liouville) approach to the two-dimensional (2-D) quantum gravity is reviewed with particular attention to the $c=1$ conformal matter coupling, and new results on a related problem of dilaton gravity are reported. After finding the physical
Abdalla, Aoki, Avan, Banks, Bershadsky, Bershadsky, Bessis, Bilal, Bilal, Birnir, Boulatov, Bouwknegt, Brézin, Brézin, Brézin, Burwick, Callan, Cangemi, Chamseddine, Chamseddine, Danielsson, Das, Das, Das, Das, David, David, De Alwis, De Alwis, Di Francesco, Dijkgraaf, Distler, Dotsenko, Douglas, Friedan, Giddings, Ginsparg, Goulian, Gross, Gross, Gross, Gross, Gross, Gross, Gross, Gupta, Hamada, Hawking, Hawking, Itoh, Itzykson, Kazakov, Kazakov, Kazakov, Kitazawa, Klebanov, Lian, Lian, Mann, Matsumura, Matsumura, Mehta, Miković, Minic, Mohammedi, Mukherji, Nojiri, Norisuke Sakai, Ohta, Ohta, Parisi, Parisi, Polchinski, Polchinski, Polyakov, Raiten, Russo, Russo, Sakai, Sakai, Sakai, Sakai, Sakai, Seiberg, Sengupta, Susskind, Tanii, Witten, Witten   +88 more
core   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Towards quantum black hole microstates

Journal of High Energy Physics, 2023
We study the cohomology of local BPS operators in N $$ \mathcal{N} $$ = 4 Yang-Mills theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole microstates in ...
Sunjin Choi, Seok Kim, Eunwoo Lee, Siyul Lee, Jaemo Park   +4 more
doaj   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

Homological quantum mechanics

Journal of High Energy Physics
We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmonic oscillator ...
Christoph Chiaffrino, Olaf Hohm, Allison F. Pinto   +2 more
doaj   +1 more source

Quantum cohomology of partial flag manifolds

, 1994
We compute the quantum cohomology rings of the partial flag manifolds F_{n_1\cdots n_k}=U(n)/(U(n_1)\times \cdots \times U(n_k)). The inductive computation uses the idea of Givental and Kim. Also we define a notion of the vertical quantum cohomology ring
A. Floer, Alexander Astashkevich, D. Gepner, D. Gepner, E. Witten, E. Witten, K. Intriligator, L. Alvarez-Gaumé, L. Bailieu, Nicole Berline, P. Candelas, P. Deligne, P. Griffiths, V. Ginzburg, Vladimir Sadov, W. Lerche   +15 more
core   +1 more source

Transformation formulas in quantum cohomology [PDF]

Compositio Mathematica, 2004
The article discusses an action of the center of G on the quantum cohomology of G/P's constructed geometrically. It is shown how to recover Bertram's Quantum Schubert Calculus from this action, and also a refinement of a formula of Fulton and Woodward for the terms of the smallest order in the product of two Schubert varieties in the Quantum cohomology
openaire   +3 more sources