Exceptional embeddings of N=2 minimal models

Ana Ros Camacho; Thomas A. Wasserman

doi:10.1007/s11005-026-02108-1

Exceptional embeddings of N=2 minimal models

Ana Ros Camacho^*
, Thomas A. Wasserman

^*Tämän työn vastaava kirjoittaja

Universidad de Valencia

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

3 Lataukset (Pure)

Abstrakti

Vafa and Warner observed that the Landau–Ginzburg model associated to the potential E6 (resp. E8) is a product of two other models, associated to the potentials A2 and A3 (resp. A2 and A4). We translate this along the Landau–Ginzburg/conformal field theory correspondence to a conjecture about the unitary minimal quotients Md of the N=2 superconformal algebra of central charge cd=3-6d: there should be a conformal embedding M12↪M3⊗M4 (resp. M30↪M3⊗M5) that exhibits the product as Ostrik’s E6 (resp. E8) algebra in the Rep(su(2)10) (resp. Rep(su(2)28)) factor of the NS sector of Rep(M12) (resp. Rep(M30)). We motivate, formulate, and prove this conjecture.

Alkuperäiskieli	Englanti
Artikkeli	75
Julkaisu	Letters in Mathematical Physics
Vuosikerta	116
Numero	4
DOI - pysyväislinkit	https://doi.org/10.1007/s11005-026-02108-1
Tila	Julkaistu - elok. 2026
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

The authors are very thankful to Simon Wood for helpful discussions and advice, and grateful to Shenji Koshida, Gabriel Navarro and David Ridout for comments on a draft of this paper. We acknowledge support from the London Mathematical Society through ARC’s Emmy Noether Fellowship EN-2324-02. TW acknowledges support from the European Commission through a Marie Sklodowska-Curie Individual Fellowship with reference number 101203556 – DisQ FA, Richard Wade’s Royal Society of Great Britain University Research Fellowship, and the University of Oxford. ARC thanks Cardiff University and their University Research Leave 2025/26 Scheme for support.

Pääsy asiakirjaan

10.1007/s11005-026-02108-1Lisenssi: CC BY

Exceptional embeddings of N=2 minimal modelsFinal published version, 229 KBLisenssi: CC BY

Muut tiedostot ja linkit

Linkki julkaisuun Scopuksessa

DisQ FA: Discrete QFT Duality
Kytölä, K. (Vastuullinen johtaja) & Wasserman, T. (Projektin jäsen)
01/09/2025 → 31/08/2027
Projekti: EU Horizon Europe MC

Siteeraa tätä

@article{95a05676a467495ba8b8f1b8b4c411c7,

title = "Exceptional embeddings of N=2 minimal models",

abstract = "Vafa and Warner observed that the Landau–Ginzburg model associated to the potential E6 (resp. E8) is a product of two other models, associated to the potentials A2 and A3 (resp. A2 and A4). We translate this along the Landau–Ginzburg/conformal field theory correspondence to a conjecture about the unitary minimal quotients Md of the N=2 superconformal algebra of central charge cd=3-6d: there should be a conformal embedding M12↪M3⊗M4 (resp. M30↪M3⊗M5) that exhibits the product as Ostrik{\textquoteright}s E6 (resp. E8) algebra in the Rep(su(2)10) (resp. Rep(su(2)28)) factor of the NS sector of Rep(M12) (resp. Rep(M30)). We motivate, formulate, and prove this conjecture.",

author = "\{Ros Camacho\}, Ana and Wasserman, \{Thomas A.\}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2026. | openaire: EC/HE/101203556/EU//DisQFA",

year = "2026",

month = aug,

doi = "10.1007/s11005-026-02108-1",

language = "English",

volume = "116",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Exceptional embeddings of N=2 minimal models

AU - Ros Camacho, Ana

AU - Wasserman, Thomas A.

PY - 2026/8

Y1 - 2026/8

N2 - Vafa and Warner observed that the Landau–Ginzburg model associated to the potential E6 (resp. E8) is a product of two other models, associated to the potentials A2 and A3 (resp. A2 and A4). We translate this along the Landau–Ginzburg/conformal field theory correspondence to a conjecture about the unitary minimal quotients Md of the N=2 superconformal algebra of central charge cd=3-6d: there should be a conformal embedding M12↪M3⊗M4 (resp. M30↪M3⊗M5) that exhibits the product as Ostrik’s E6 (resp. E8) algebra in the Rep(su(2)10) (resp. Rep(su(2)28)) factor of the NS sector of Rep(M12) (resp. Rep(M30)). We motivate, formulate, and prove this conjecture.

AB - Vafa and Warner observed that the Landau–Ginzburg model associated to the potential E6 (resp. E8) is a product of two other models, associated to the potentials A2 and A3 (resp. A2 and A4). We translate this along the Landau–Ginzburg/conformal field theory correspondence to a conjecture about the unitary minimal quotients Md of the N=2 superconformal algebra of central charge cd=3-6d: there should be a conformal embedding M12↪M3⊗M4 (resp. M30↪M3⊗M5) that exhibits the product as Ostrik’s E6 (resp. E8) algebra in the Rep(su(2)10) (resp. Rep(su(2)28)) factor of the NS sector of Rep(M12) (resp. Rep(M30)). We motivate, formulate, and prove this conjecture.

UR - https://www.scopus.com/pages/publications/105043649045

U2 - 10.1007/s11005-026-02108-1

DO - 10.1007/s11005-026-02108-1

M3 - Article

AN - SCOPUS:105043649045

SN - 0377-9017

VL - 116

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

M1 - 75

ER -

Exceptional embeddings of N=2 minimal models

Abstrakti

Rahoitus

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Projektit

DisQ FA: Discrete QFT Duality

Siteeraa tätä