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  • 1. Björnsson, Jonas
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    On small tension p-branes2008In: Physics Letters B 662 (2008) 270-274Article in journal (Refereed)
  • 2.
    Björnsson, Jonas
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    On small tension p-branes2008In: Physics Letters B, ISSN 0370-2693, Vol. 662, no 3, 270-274 p.Article in journal (Refereed)
  • 3.
    Björnsson, Jonas
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models2009In: Nuclear Physics B, ISSN 0550-3213, Vol. 812, no 3, 525-539 p.Article in journal (Refereed)
    Abstract [en]

    In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space–time dimensions.

  • 4.
    Björnsson, Jonas
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science.
    On the unitarity of gauged non-compact WZNW strings2008In: Nuclear Physics B, ISSN 0550-3213, Vol. 797, no 3, 464-498 p.Article in journal (Refereed)
  • 5. Björnsson, Jonas
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Stretched Quantum Membranes2005In: Nuclear Physics B727 (2005) 77-98Article in journal (Refereed)
  • 6. Björnsson, Jonas
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    The BRST treatment of stretched membranes2006In: Nuclear Physics B736 (2006) 156-167Article in journal (Refereed)
  • 7.
    Björnsson, Jonas
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    The membrane as a perturbation around string-like configurations2004In: Nuclear Physics B 689 (2004) 37-52Article in journal (Refereed)
  • 8. Fjelstad, Jens
    et al.
    Fuchs, Jürgen
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Semikhatov, Alexei M.
    Tipunin, Ilya Y.
    Logarithmic Conformal Field Theories via Logarithmic Deformations2002In: Nuclear Physics B 633 (2002) 379-413Article in journal (Refereed)
  • 9. Fjelstad, Jens
    et al.
    Fuchs, Jürgen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Semikhatov, A.M.
    Tipunin, I.Yu.
    Logarithmic conformal field theories via logarithmic deformations2002In: Nuclear Physics B 633 (2002)Article in journal (Refereed)
  • 10. Fjelstad, Jens
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Equivalence of Chern-Simons gauge theory and WZNW model using a BRST symmetry1999In: Phys.Lett.B466:227-233Article in journal (Refereed)
    Abstract [en]

    The equivalence between the Chern-Simons gauge theory on a three-dimensional manifold with boundary and the WZNW model on the boundary is established in a simple and general way using the BRST symmetry. Our approach is based on restoring gauge invariance of the Chern-Simons theory in the presence of a boundary. This gives a correspondence to the WZNW model that does not require solving any constraints, fixing the gauge or specifying boundary conditions

  • 11. Fjelstad, Jens
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Sectors of Solutions in Three-Dimensional Gravity and Black Holes2002In: Nuclear Physics B628 (2002) 331-360Article in journal (Refereed)
  • 12. Fjelstad, Jens
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Sectors of solutions in three-dimensional gravity and black holes2002In: Nucl.Phys.B628:331-360Article in journal (Refereed)
    Abstract [en]

    We examine the connection between three-dimensional gravity with negative cosmological constant and two-dimensional CFT via the ChernSimons formulation. A set of generalized spectral flow transformations are shown to yield new sectors of solutions. One implication is that the microscopic calculation of the entropy of the BañadosTeitelboimZanelli (BTZ) black hole is corrected by a multiplicative factor with the result that it saturates the BekensteinHawking expression

  • 13. Fjelstad, Jens
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Månsson, Theresia
    Three-dimensional Kerr-de Sitter entropy via CFT2002In: Nucl. Phys B 641 (2002) 376-392Article in journal (Refereed)
  • 14. Fuchs, J.
    et al.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Semikhatov, A.M.
    Tipunin, I.Y.
    Non-semisimple fusion algebras and the Verlinde formula2004In: Communications in Mathematical Physics 247 (2004) 713-742Article in journal (Refereed)
  • 15.
    Fuchs, Jürgen
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Semikhatov, A.M.
    Tipunin, I.Y.
    Nonsemisimple fusion algebras and the Verlinde formula2004In: Communications in Mathematical Physics 247 (2004)Article in journal (Refereed)
    Abstract [en]

    We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_p from modular transformations of characters.

  • 16.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Semi-infinite cohomology of affine Lie algebras1998In: Commun. Math.Phys. 194, 591-611 (1998)Article in journal (Refereed)
  • 17.
    Hwang, Stephen
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Unitarity of Strings and Non-compact Hermitian Symmetric spaces1998In: Physics Letters B435, 331-336 (1998)Article in journal (Refereed)
  • 18.
    Hwang, Stephen
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Fjelstad, Jens
    Equivalence of Chern-Simons gauge theory and the WZNWmodel using a BRST symmetry1999In: Physics Letters B 466 (1999) 227-233Article in journal (Refereed)
  • 19.
    Hwang, Stephen
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Liu, Yang
    Zhang, Genkai
    Hilbert spaces of tensor-valued holomorphic functions on the unit ball of C^n2004In: Pacific J. of Math 214 (2004)Article in journal (Refereed)
  • 20.
    Hwang, Stephen
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Marnelius, Robert
    Saltsidis, Panagiotis
    A general BRST approach to string theories with zeta function regularizations1999In: Journal of Mathematical Physics 40 (1999) 4639-57Article in journal (Refereed)
    Abstract [en]

    Within the operator version of BRST quantization one may proceed as follows: First define a hermitian and formally nilpotent BRST charge. Then look for possible state spaces which yield nontrivial cohomologies. Two of us have previously used this procedure for finite degrees of freedom. In the case of infinite degrees of freedom the procedure requires a precise regularization.

    We propose here a general precise regularization of the basic commutators which makes the divergent sums we encounter to be expressed in terms of Hurwitz zeta function.

    A new feature is that the formally nilpotent BRST operator need not be nilpotent on the found state space. A modification might be necessary.

    The method is applied to three string models: The ordinary bosonic string, the tensionless string and the conformal tensionless string. In the first two models we recover old results, but we believe our treatment further deepens the understanding of the BRST formulation. For the conformal tensionless string model our result is new. Here we show that there is no critical dimension

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