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From scalar field theories to supersymmetric quantum mechanics [PDF]

Modern Physics Letters A, 2017
In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum ...
D. Bazeia, F. S. Bemfica
openaire   +6 more sources

From supersymmetric quantum mechanics to scalar field theories [PDF]

Physical Review D, 2017
In this work we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that support a single bound state is ...
Bemfica, Fabio Sperotto, Bazeia, D.
openaire   +5 more sources

Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry

Beni-Suef University Journal of Basic and Applied Sciences, 2022
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj   +1 more source

Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states

Journal of High Energy Physics, 2022
It is possible to understand whether a given BPS spectrum is generated by a relevant deformation of a 4D N $$ \mathcal{N} $$ = 2 SCFT or of an asymptotically free theory from the periodicity properties of the corresponding quantum monodromy. With the aim
Michele Cirafici, Michele Del Zotto
doaj   +1 more source

3d N=4 Bootstrap and Mirror Symmetry

SciPost Physics, 2021
We investigate the non-BPS realm of 3d ${\cal N} = 4$ superconformal field theory by uniting the non-perturbative methods of the conformal bootstrap and supersymmetric localization, and utilizing special features of 3d ${\cal N} = 4$ theories such as ...
Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang
doaj   +1 more source

Disk, interval, point: on constructions of quantum field theories with holomorphic action functionals

Journal of High Energy Physics, 2020
Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed in the other ...
Nafiz Ishtiaque, Junya Yagi
doaj   +1 more source

Solitons in lattice field theories via tight-binding supersymmetry

Journal of High Energy Physics, 2021
Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian, Abu Patoary, Victor Galitski   +2 more
doaj   +1 more source

Is the Nicolai map unique?

Journal of High Energy Physics, 2022
The Nicolai map is a field transformation that relates supersymmetric theories at finite couplings g with the free theory at g = 0. It is obtained via an ordered exponential of the coupling flow operator integrated from 0 to g.
Olaf Lechtenfeld, Maximilian Rupprecht
doaj   +1 more source

The gravitational sector of 2d (0, 2) F-theory vacua

Journal of High Energy Physics, 2017
F-theory compactifications on Calabi-Yau fivefolds give rise to two-dimensional N = (0, 2) supersymmetric field theories coupled to gravity. We explore the dilaton supergravity defined by the moduli sector of such compactifications.
Craig Lawrie, Sakura Schäfer-Nameki, Timo Weigand   +2 more
doaj   +1 more source

Supersymmetric quantum mechanics on the lattice: I. Loop formulation

Nuclear Physics B, 2015
Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions
David Baumgartner, Urs Wenger
doaj   +1 more source