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We prove that every abelian permutation group, but known exceptions, is the symmetry group of a boolean function. This solves the problem posed in the book by Clote and Kranakis. In fact, our result is proved for a larger class of groups,…

Combinatorics · Mathematics 2013-03-07 Mariusz Grech , Andrzej Kisielewicz

The Green-Schwarz action for an open superstring with additional boundary fermions, representing Chan-Paton factors, is studied at the classical level. The boundary geometry is described by a bundle, with fermionic fibres, over the super…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , L. Wulff

We use the compatibility of D-brane action with linear off-shell T-duality and linear on-shell S-duality as guiding principles to find all world volume couplings of one massless closed and three massless open strings at order $\alpha'^2$ in…

High Energy Physics - Theory · Physics 2017-04-19 Komeil Babaei Velni , Ali Jalali

Quantum-chemical calculations often make use of point-group theory to exploit molecular symmetry, resulting in a reduction of the computational cost and in insights into the electronic structure. This exploitation is often limited to…

Chemical Physics · Physics 2026-02-16 Marios-Petros Kitsaras , Stella Stopkowicz

As superstring solitons that carry Neuveu-Schwarz charge can be described in terms of gerbes, one expects non-Abelian gerbes to appear e.g. in the exotic six-dimensional world-volume theories of coinciding NS5 branes. We consider open…

High Energy Physics - Theory · Physics 2007-05-23 Jussi Kalkkinen

The near horizon geometry of a fundamental string wrapped around an S1 reduced to four dimensions is expected to be AdS2 x S2. A probe string analysis suggests a no-force condition indicating supersymmetry, which coincides with the…

High Energy Physics - Theory · Physics 2009-12-10 Ling-Yan Hung , Linda I. Uruchurtu

We study string corrections to one-loop amplitudes of single-particle operators ${\cal O}_p$ in $AdS_5 \times S^5$. The tree-level correlators in supergravity enjoy an accidental 10d conformal symmetry. Consequently, one observes a partial…

High Energy Physics - Theory · Physics 2023-03-01 F. Aprile , J. M. Drummond , R. Glew , M. Santagata

We revisit the 4D generalized black hole geometries, obtained by us [1], with a renewed interest, to unfold some aspects of effective gravity in a noncommutative D3-brane formalism. In particular, we argue for the existence of extra…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar , Sumit Majumdar

In this paper we explicitly show that the various noncompact abelian orbifolds are realized as special limits of parameters in type II (NSNS) Melvin background and its higher dimensional generalizations. As a result the supersymmetric ALE…

High Energy Physics - Theory · Physics 2010-02-03 Tadashi Takayanagi , Tadaoki Uesugi

We consider solutions of massive IIA supergravity corresponding to the half-BPS intersection of D8/D4-branes with fundamental strings. The $1+1$-dimensional intersection preserves the symmetry $D(2,1;\gamma;1) \times SO(4)$. We give a…

High Energy Physics - Theory · Physics 2015-06-22 John Estes , Darya Krym , Bert Van Pol

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

High Energy Physics - Theory · Physics 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in…

High Energy Physics - Theory · Physics 2010-02-04 Jonas Schmidt

We construct a general class of chiral four-dimensional string models with Scherk--Schwarz supersymmetry breaking, involving freely acting orbifolds. The basic ingredient is to combine an ordinary supersymmetry-preserving Z_N projection…

High Energy Physics - Theory · Physics 2010-02-03 Claudio A. Scrucca , Marco Serone

Nonabelian discrete groups are an attractive tool to describe fermion masses and mixings. They have nonsinglet representations which seem particularly suitable for distinguishing the lighter generations from the heavier ones. Also, they do…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul H. Frampton , Andrija Rasin

Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra. Alternatively, the dynamics…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Bieliavsky , Charles Jego , Jan Troost

I present arguments to the affect that the topological phase of string theory must be event-symmetric. This motivates a search for a universal string group for discrete strings in event-symmetric space-time which unifies space-time symmetry…

High Energy Physics - Theory · Physics 2008-02-03 Phil E. Gibbs

We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying…

High Energy Physics - Theory · Physics 2020-04-10 Christian Saemann , Lennart Schmidt

Non-Abelian global strings are expected to form during the chiral phase transition. They have orientational zero modes in the internal space, associated with the vector-like symmetry SU(N)_{L+R} broken in the presence of strings. The…

High Energy Physics - Phenomenology · Physics 2009-03-09 Eiji Nakano , Muneto Nitta , Taeko Matsuura

We present a brief discussion of recent work on duality symmetries in non-trivial string backgrounds. Duality is obtained from a gauged non-linear sigma-model with vanishing gauge field strength. Standard results are reproduced for abelian…

High Energy Physics - Theory · Physics 2009-09-25 Fernando Quevedo

We study supersymmetric open strings in type IIB $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed R-R and NS-NS fields. We focus on strings ending along a straight line at the boundary of $AdS_3$, which can be interpreted as line…

High Energy Physics - Theory · Physics 2021-11-11 Diego H. Correa , Victor I. Giraldo-Rivera , Martín Lagares