Journal Article

PUBDB-2025-05136

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Generalized Narain theories $\mathfrak{decoded}$: $\mathfrak{d}$iscussions on $\mathfrak{E}$isenstein series, $\mathfrak{c}$haracteristics, $\mathfrak{o}$rbifolds, $\mathfrak{d}$iscriminants & $\mathfrak{e}$nsembles in any $\mathfrak{d}$imension

Ashwinkumar, M. ; Kidambi, A. (Corresponding author) ; Leedom, J. M. (Corresponding author)DESY* ; Yamazaki, M.

2025
International Press Cambridge, Mass.

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Please use a persistent id in citations: doi:10.4310/atmp.250524025221  doi:10.3204/PUBDB-2025-05136

Report No.: DESY-23-170; arXiv:2311.00699

Abstract: We study a class of newly-introduced CFTs associated with even quadratic forms of general signature, which we call generalized Narain theories. We first summarize the properties of these theories. We then consider orbifolds of these theories, thereby obtaining a large class of non-supersymmetric CFTs with exactly marginal deformations. We then discuss ensemble averages of such theories over their moduli space, and obtain a modular form associated with the quadratic form and an element of the discriminant group. The modular form can be written as a Poincaré series, which contains novel invariants of lens spaces and suggests the interpretation of the holographic bulk as a theory of anyons.

Keyword(s): field theory: conformal ; deformation: marginal ; orbifold ; modular ; moduli space ; Poincare ; signature

Note: 33 pages, 2 figures, 5 appendices Waiting for fulltext

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Ashwinkumar, M. ; Kidambi, A. (Corresponding author) ; Leedom, J. M.DESY* ; Yamazaki, M.
Generalized Narain theories $\mathfrak{decoded}$: $\mathfrak{d}$iscussions on $\mathfrak{E}$isenstein series, $\mathfrak{c}$haracteristics, $\mathfrak{o}$rbifolds, $\mathfrak{d}$iscriminants & $\mathfrak{e}$nsembles in any $\mathfrak{d}$imension
[10.3204/PUBDB-2023-06429]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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