A worldsheet theory for supergravity

T Adamo, E Casali, D Skinner - Journal of High Energy Physics, 2015 - Springer
A bstract We present a worldsheet theory that describes maps into a curved target space
equipped with a B-field and dilaton. The conditions for the theory to be consistent at the …

Topological twists of supersymmetric algebras of observables

C Elliott, P Safronov - Communications in Mathematical Physics, 2019 - Springer
We explain how to perform topological twisting of supersymmetric field theories in the
language of factorization algebras. Namely, given a supersymmetric factorization algebra …

Instantons beyond topological theory. I

E Frenkel, A Losev, N Nekrasov - … of the Institute of Mathematics of …, 2011 - cambridge.org
Many quantum field theories in one, two and four dimensions possess remarkable limits in
which the instantons are present, the anti-instantons are absent, and the perturbative …

(0, 2) Mirror Symmetry on homogeneous Hopf surfaces

L Álvarez-Cónsul… - International …, 2024 - academic.oup.com
In this work, we find the first examples of (0, 2) mirror symmetry on compact non-Kähler
complex manifolds. For this, we follow Borisov's approach to mirror symmetry using vertex …

[PDF][PDF] Supersymmetric vertex algebras

R Heluani, VG Kac - arXiv preprint math/0603633, 2006 - arxiv.org
arXiv:math/0603633v1 [math.QA] 27 Mar 2006 Page 1 arXiv:math/0603633v1 [math.QA] 27
Mar 2006 SUPERSYMMETRIC VERTEX ALGEBRAS REIMUNDO HELUANI AND VICTOR G …

Self-dual vertex operator superalgebras and superconformal field theory

T Creutzig, JFR Duncan, W Riedler - Journal of Physics A …, 2017 - iopscience.iop.org
Recent work has related the equivariant elliptic genera of sigma models with K3 surface
target to a vertex operator superalgebra that realizes moonshine for Conway's group …

Vertex algebras from the Hull-Strominger system

L Álvarez-Cónsul, ADA de La Hera… - arXiv preprint arXiv …, 2023 - arxiv.org
Motivated by the programme on mirror symmetry for non-K\" ahler manifolds, we construct
representations of the $ N= 2$ superconformal vertex algebra associated to solutions of the …

Supersymmetry of the chiral de Rham complex 2: Commuting sectors

R Heluani - International Mathematics Research Notices, 2009 - ieeexplore.ieee.org
We construct two commuting N= 2 structures on the space of sections of the chiral de Rham
complex (CDR) of a Calabi–Yau manifold. We use this extra supersymmetry to construct a …

Supersymmetric Structures on Classical W-algebras

E Ragoucy, A Song, UR Suh - Communications in Mathematical Physics, 2023 - Springer
We describe a N= 2 supersymmetric Poisson vertex algebra structure of N= 1 (resp. N= 0)
classical W-algebra associated with sl (n+ 1| n) and the odd (resp. even) principal nilpotent …

Mathieu moonshine and the geometry of K3 surfaces

T Creutzig, G Höhn - arXiv preprint arXiv:1309.2671, 2013 - arxiv.org
We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the
Mathieu group M_24 and the complex elliptic genus of a K3 surface with the symmetries of …