Forschungsinitiativen


 

Recent Submissions

  • On N=2 supersymmetric Ruijsenaars–Schneider models 
    Krivonos, Sergey; Lechtenfeld, Olaf (Amsterdam : North-Holland Publ., 2020)
    We construct an N=2 supersymmetric extension of n-particle Ruijsenaars–Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a “free” form linear in the fermions but produce an ...
  • Liouville description of conical defects in dS4, Gibbons-Hawking entropy as modular entropy, and dS3 holography 
    Arias, Cesar; Diaz, Felipe; Olea, Rodrigo; Sundell, Per (Berlin ; Heidelberg : Springer, 2020)
    We model the back-reaction of a static observer in four-dimensional de Sitter spacetime by means of a singular ℤq quotient. The set of fixed points of the ℤq action consists of a pair of codimension two minimal surfaces ...
  • Gribov horizon beyond the Landau gauge 
    Lavrov, Peter M.; Lechtenfeld, Olaf (Amsterdam [u.a.] : Elsevier, 2013)
    Gribov and Zwanziger proposed a modification of Yang-Mills theory in order to cure the Gribov copy problem. We employ field-dependent BRST transformations to generalize the Gribov-Zwanziger model from the Landau gauge to ...
  • ADHM skyrmions 
    Cork, Josh; Halcrow, Chris (Bristol : IOP Publ., 2022)
    We propose, via the Atiyah-Manton approximation, a framework for studying skyrmions on R3 using Atiyah-Drinfeld-Hitchin-Manin (ADHM) data for Yang-Mills instantons on R4. We provide a dictionary between important concepts ...
  • Universal form of the Nicolai map 
    Lechtenfeld, Olaf; Rupprecht, Maximilian (Ridge, NY : American Physical Society, 2021)
    The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric theory is characterized by the Nicolai map. The latter is generated by a coupling flow ...
  • A low-energy limit of Yang-Mills theory on de Sitter space 
    Cork, Josh; Kutluk, Emine Şeyma; Lechtenfeld, Olaf; Popov, Alexander D. (Berlin ; Heidelberg : Springer, 2021)
    We consider Yang-Mills theory with a compact structure group G on four-dimensional de Sitter space dS4. Using conformal invariance, we transform the theory from dS4 to the finite cylinder I × S3, where I = (−π/2, π/2) and ...
  • Integrability, intertwiners and non-linear algebras in Calogero models 
    Carrillo-Morales, Francisca; Correa, Francisco; Lechtenfeld, Olaf (Berlin ; Heidelberg : Springer, 2021)
    For the rational quantum Calogero systems of type A1⊕A2, AD3 and BC3, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include ...
  • Construction method for the Nicolai map in supersymmetric Yang–Mills theories 
    Lechtenfeld, Olaf; Rupprecht, Maximilian (Amsterdam : North-Holland Publ., 2021)
    Recently, a universal formula for the Nicolai map in terms of a coupling flow functional differential operator was found. We present the full perturbative expansion of this operator in Yang–Mills theories where supersymmetry ...
  • Instability of cosmic Yang-Mills fields 
    Kumar, Kaushlendra; Lechtenfeld, Olaf; Picanço Costa, Gabriel (Amsterdam : North-Holland Publ. Co., 2021)
    There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang–Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing ...
  • On black hole temperature in Horndeski gravity 
    Hajian, K.; Liberati, S.; Sheikh-Jabbari, M.M.; Vahidinia, M.H. (Amsterdam [u.a.] : Elsevier, 2020)
    It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories ...
  • Algebraic integrability of PT-deformed Calogero models 
    Correa, Francisco; Lechtenfeld, Olaf (Bristol : IOP Publ., 2021)
    We review some recents developments of the algebraic structures and spectral properties of non-Hermitian deformations of Calogero models. The behavior of such extensions is illustrated by the A2 trigonometric and the D3 ...
  • Integrability of supersymmetric Calogero–Moser models 
    Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton (Amsterdam : North-Holland Publ., 2022)
    We analyze the integrability of the -extended supersymmetric Calogero–Moser model. We explicitly construct the Lax pair for this system, which properly reproduces all equations of motion. After adding a supersymmetric ...
  • The coupling flow of N = 4 super Yang-Mills theory 
    Rupprecht, Maximilian (Berlin, Heidelberg : Springer, 2022)
    We offer a novel perspective on N = 4 supersymmetric Yang-Mills (SYM) theory through the framework of the Nicolai map, a transformation of the bosonic fields that allows one to compute quantum correlators in terms of a ...
  • A perturbative expansion scheme for supermembrane and matrix theory 
    Lechtenfeld, Olaf; Nicolai, Hermann (Berlin, Heidelberg : Springer, 2022)
    We reconsider the supermembrane in a Minkowski background and in the light-cone gauge as a one-dimensional gauge theory of area preserving diffeomorphisms (APDs). Keeping the membrane tension T as an independent parameter ...
  • Yang–Mills solutions on Minkowski space via non-compact coset spaces 
    Kumar, Kaushlendra; Lechtenfeld, Olaf; Picanço Costa, Gabriel; Röhrig, Jona (Amsterdam : North-Holland Publ., 2022)
    We find a two-parameter family of solutions of the Yang–Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts of it with non-compact coset spaces with SO(1,3) isometry. The interior of the ...
  • Composites and categories of euclidean Jordan algebras 
    Barnum, Howard; Graydon, Matthew A.; Wilce, Alexander (Wien : Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2020)
    We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories ...
  • Perturbative linearization of supersymmetric Yang-Mills theory 
    Ananth, Sudarshan; Lechtenfeld, Olaf; Malcha, Hannes; Nicolai, Hermann; Pandey, Chetan; Pant, Saurabh (Berlin [u.a.] : Springer, 2020)
    Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler ...
  • Non-unitary evolution in the general extended EFT of inflation & excited initial states 
    Ashoorioon, Amjad (Berlin : Springer, 2018)
    I study the general case that arises in the Extended Effective Field Theory of Inflation (gEEFToI), in which the coefficients of the sixth order polynomial dispersion relation depend on the physical wavelength of the ...
  • Sustainability transitions and the spatial interface: Developing conceptual perspectives 
    Levin-Keitel, Meike; Mölders, Tanja; Othengrafen, Frank; Ibendorf, Jens (Basel : MDPI AG, 2018)
    Sustainability transitions research lacks a crucial perspective: the spatial dimension. The interrelations between space and sustainability transition processes are thus underexposed. The spatial dimension is, of course, ...