Despite a recent flurry of applications of the broadly defined (‘non-AdS/non-CFT’) holographic correspondence to a variety of condensed matter problems, the status of this intriguing, yet highly speculative, approach remains largely undetermined. Here we expose a number of potential inconsistencies between the previously made holographic predictions and advocate for a compelling need to systematically contrast the latter against the results of alternate, more conventional, approaches as well as experimental data. It is also proposed to expand the list of computed observables and utilize the general relations between them as a further means of bringing the formal holographic approach into a closer contact with the physical realm.

Keywords: condensed matter applications of the holographic conjecture
PACS: 71.10.-w

HOLOGRAFI JOS KRIZINĖS BŪSENOS TEORI JOS KRITIKA
Dmitri V. Khveshchenko
Šiaurės Karolinos universitetas, Čeipel Hilas, Šiaurės Karolina, Jungtinės Valstijos

Nepaisant dabartinio sujudimo, taikant – plačiaja prasme (ne anti de Siterio, ne konforminės lauko teorijos) apibrėžiamą – holografinį atitikimą įvairiems kietųjų medžiagų uždaviniams, šio intriguojančio, tačiau labai spekuliatyvaus požiūrio statusas didžia dalimi yra neapibrėžtas. Čia parodome eilę potencialių nenuoseklumų tarp anksčiau išsakytų holografinių prognozių ir giname nuomonę, kad būtina sistemiškai palyginti pastarąsias su kitų, labiau įprastų požiūrių rezultatais, o taip pat su eksperimentiniais duomenimis. Taip pat pasiūlyta praplėsti skaičiuojamų stebimų dydžių ratą ir pasinaudoti bendrais jų tarpusavio sąryšiais kaip papildoma priemone, holografinį požiūrį priartinančia prie fizikinio pasaulio.

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