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Metric approach to a T(T)over-bar-like deformation in arbitrary dimensions

Articolo
Data di Pubblicazione:
2022
Abstract:
We consider a one-parameter family of composite fields - bi-linear in the components of the stress-energy tensor - which generalise the T (T) over bar operator to arbitrary space-time dimension d >= 2. We show that they induce a deformation of the classical action which is equivalent - at the level of the dynamics - to a field-dependent modification of the background metric tensor according to a specific flow equation. Even though the starting point is the flat space, the deformed metric is generally curved for any d > 2, thus implying that the corresponding deformation can not be interpreted as a coordinate transformation. The central part of the paper is devoted to the development of a recursive algorithm to compute the coefficients of the power series expansion of the solution to the metric flow equation. We show that, under some quite restrictive assumptions on the stress-energy tensor, the power series yields an exact solution. Finally, we consider a class of theories in d = 4 whose stress-energy tensor fulfils the assumptions above mentioned, namely the family of abelian gauge theories in d = 4. For such theories, we obtain the exact expression of the deformed metric and the vierbein. In particular, the latter result implies that ModMax theory in a specific curved space is dynamically equivalent to its Born-Infeld-like extension in flat space. We also discuss a dimensional reduction of the latter theories from d = 4 to d = 2 in which an interesting marginal deformation of d = 2 field theories emerges.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Field Theories in Lower Dimensions; Integrable Field Theories
Elenco autori:
Riccardo Conti; Jacopo Romano; Roberto Tateo
Autori di Ateneo:
TATEO Roberto
Link alla scheda completa:
https://iris.unito.it/handle/2318/1887401
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1887401/1076174/JHEP09(2022)085.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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URL

https://link.springer.com/article/10.1007/JHEP09(2022)085
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