Fake Z
نویسندگان
چکیده
Recently introduced connections between quantum codes and Narain CFTs provide a simple ansatz to express modular-invariant function $Z(\tau,\bar \tau)$ in terms of multivariate polynomial satisfying certain additional properties. These properties include algebraic identities, which ensure modular invariance \tau)$, positivity integrality coefficients, imply the $\mathfrak{u}(1)^n \times \mathfrak{u}(1)^n$ character expansion \tau)$. Such polynomials come naturally from codes, sense that each code type gives rise so-called enumerator polynomial, automatically satisfies all necessary properties, while resulting is partition CFT -- theory unambiguously constructed code. Yet there are also ``fake'' not associated with any They lead bootstrap constraints (modular expansion), but whether they functions actual unclear. We consider group six simplest fake denounce corresponding $Z$'s as fake: we show none them torus theory. Moreover, four unitary 2d CFT; our analysis for other two inconclusive. Our findings point an obvious limitation approach: every solution full set due CFT. In paper examples, keeping mind thousands more can be constructed.
منابع مشابه
Fake!
Received: 3 October 2005 Accepted: 3 October 2005 One of my most memorable experiences with Claudio occured in Cleveland about 10 years ago. I was serving as department chair, and had organized a semester long research seminar, bringing one great scholar in for a full week, every week of the term. During their week in residence, the visitors would give two seminars and meet informally with facu...
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For an odd prime number p, let L∞ be the Zp-anticyclotomic extension of an imaginary quadratic field L. We focus on the non-normal subextension K∞ of L∞ fixed by a subgroup of order 2 in Gal(L∞/Q). After providing a general result for dihedral extensions, we study the growth of the p-part of the class group of the subfields of K∞/Q, providing a formula of Iwasawa type. Furthermore, we describe ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2023
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep06(2023)043