Citation

BibTex format

@article{Hoare:2020:10.1007/JHEP11(2020)020,
author = {Hoare, B and Levine, N and Tseytlin, AA},
doi = {10.1007/JHEP11(2020)020},
journal = {The Journal of High Energy Physics},
title = {Sigma models with local couplings: a new integrability-RG flow connection},
url = {http://dx.doi.org/10.1007/JHEP11(2020)020},
volume = {20},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider several classes of σ-models (on groups and symmetric spaces, η-models, -models) with local couplings that may depend on the 2d coordinates, e.g. on time τ . We observe that (i) starting with a classically integrable 2d σ-model, (ii) formally promoting its couplings hα to functions hα(τ ) of 2d time, and (iii) demanding that the resulting time-dependent model also admits a Lax connection implies that hα(τ ) must solve the 1-loop RG equations of the original theory with τ interpreted as RG time. This provides a novel example of an ‘integrability-RG flow’ connection. The existence of a Lax connection suggests that these time-dependent σ-models may themselves be understood as integrable. We investigate this question by studying the possibility of constructing non-local and local conserved charges. Such σ-models with D-dimensional target space and time-dependent couplings subject to the RG flow naturally appear in string theory upon fixing the light-cone gauge in a (D + 2)-dimensional conformal σ-model with a metric admitting a covariantly constant null Killing vector and a dilaton linear in the null coordinate.
AU  - Hoare,B
AU  - Levine,N
AU  - Tseytlin,AA
DO  - 10.1007/JHEP11(2020)020
PY  - 2020///
SN  - 1029-8479
TI  - Sigma models with local couplings: a new integrability-RG flow connection
T2  - The Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP11(2020)020
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000591049000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007/JHEP11(2020)020
UR  - http://hdl.handle.net/10044/1/95158
VL  - 20
ER  -
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