Chiral decoupling from irrelevant deformations

Chakrabarti, Subhroneel; Raman, Madhusudhan

doi:10.1007/jhep04(2020)190

Cited by 8 publications

(8 citation statements)

References 58 publications

(61 reference statements)

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“…With the fully resummed TT-deformed Lagrangian in eq. ( 4.28), it is only natural to ask, following our earlier investigations [21], what happens to this theory in the limit of infinite coupling. In our earlier work, it was important that we work in the Hamiltonian formalism -this was the only way to sensibly take this limit.…”

Section: Infinite Coupling Limitmentioning

confidence: 89%

“…Clearly, this term is purely topological and naturally does not contribute to the stress tensor. This line of investigation might be able to explain a puzzle we raised in [21]: how is it possible for strongly interacting chiral fermions to, in the infinite coupling limit, decouple? Once we take the infinite coupling limit such that S ± is held fixed, we see that the topological term becomes insignificant, leaving us once again with the free fermion Lagrangian.…”

Section: Jhep02(2021)028mentioning

confidence: 99%

“…In [21], we explored a curious aspect of the TT deformation: the limit in which the TT coupling constant λ is sent to infinity. In order to make sense of the above limit, it was imperative that we studied the deformed theory within the Hamiltonian formalism.…”

Section: Chiral Decouplingmentioning

confidence: 99%

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Irrelevant deformations of chiral bosons

Chakrabarti

Gupta

Manna

et al. 2021

J. High Energ. Phys.

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We study $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ deformations of chiral bosons using the formalism due to Sen. For arbitrary numbers of left- and right-chiral bosons, we find that the $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ -deformed Lagrangian can be computed in closed form, giving rise to a novel non-local action in Sen’s formalism. We establish that at the limit of infinite $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ coupling, the equations of motion of deformed theory exhibits chiral decoupling. We then turn to a discussion of $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ -deformed chiral fermions, and point out that the stress tensor of the $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ -deformed free fermion coincides with the undeformed seed theory. We explain this behaviour of the stress tensor by noting that the deformation term in the action is purely topological in nature and closely resembles the fermionic Wess-Zumino term in the Green-Schwarz formalism. In turn, this observation also explains a puzzle in the literature, viz. why the $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ deformation of multiple free fermions truncate at linear order. We conclude by discussing the possibility of an interplay between $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ deformations and bosonisation.

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Section: Infinite Coupling Limitmentioning

confidence: 89%

Section: Jhep02(2021)028mentioning

confidence: 99%

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Irrelevant deformations of chiral bosons

Chakrabarti

Gupta

Manna

et al. 2021

J. High Energ. Phys.

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“…Although the results obtained from the Hamiltonian formalism are reproduced in the Lagrangian path integral formalism, in general, due to the emergence of higher derivative terms in the deformed Lagrangian (3.4), (3.6), the equivalence between the Lagrangian path integral formalism and the Hamiltonian path integral formalism remains as a mystery. For instance, though Legendre transformation, it can be found that the Minkowski Hamiltonian of the deformed free bosons takes the form [43,54] H…”

Section: Conclusion and Discussionmentioning

confidence: 99%

T $$ \overline{T} $$-flow effects on torus partition functions

Sun

Zhang

2021

J. High Energ. Phys.

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In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T$$ \overline{T} $$ T ¯ deformation on a torus in terms of the perturbative QFT approach. In Lagrangian path integral formalism, the first- and second-order deformations to the partition functions of 2D free bosons, free Dirac fermions, and free Majorana fermions on a torus are obtained. The corresponding Lagrangian counterterms in these theories are also discussed. The first two orders of the deformed partition functions and the first-order vacuum expectation value (VEV) of the first quantum KdV charge obtained by the perturbative QFT approach are consistent with results obtained by the Hamiltonian formalism in literature.

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“…A possible interpretation of this picture is the following: in this ultra-relativistic limit the string becomes chiral in the subsector where it is moving one way around the longitudinal spatial circle and antichiral in the subsector where it is moving the other way around this direction. For a single transverse scalar, the above limit was considered in [43] and used to provide a description of a chiral boson starting with the gauge fixed Nambu-Goto action; in [44] this was reinterpreted in the TT context and the presence of chiral and antichiral sectors also suggested.…”

Section: From Non-relativistic To Ultra-relativisticmentioning

confidence: 99%