90 research outputs found
Exceptional theories
We present a new construction of four dimensional theories,
given by M5 branes wrapping a in an M-theory U-fold background. The
resulting setup generalizes the one used in the usual class
construction of four dimensional theories by using an extra discrete symmetry
on the M5 worldvolume. Together with the M-theory U-fold description of
-type six-dimensional SCFTs, this allows to construct new, exceptional,
theories.Comment: v2: Minor modifications, version to appear in JHE
Branes and Non‐Invertible Symmetries
=4 supersymmetric Yang-Mills theories with algebra(4N) and appropriate choices of global structure can have non-invertible symmetries. We identify the branes holographically dual to the non-invertible symmetries, and derive the fusion rules for the symmetries from the worldvolume dynamics on the branes
New N=1 dualities from orientifold transitions - Part II: String Theory
We present a string theoretical description, given in terms of branes and
orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories
analyzed in 1210.7799. Based on the resulting construction we argue that the
duality that we observe in field theory is inherited from S-duality of type IIB
string theory. We analyze in detail the complex cone over the zeroth del Pezzo
surface and discuss an infinite family of orbifolds of flat space. For the del
Pezzo case we describe the system in terms of large volume objects, and show
that in this language the duality can be understood from the strongly coupled
behavior of the O7^+ plane, which we analyze using simple F-theory
considerations. For all cases we also give a different argument based on the
existence of appropriate torsional components of the 3-form flux lattice. Along
the way we clarify some aspects of the description of orientifolds in the
derived category of coherent sheaves, and in particular we discuss the
important role played by exotic orientifolds - ordinary orientifolds composed
with auto-equivalences of the category - when describing orientifolds of
ordinary quiver gauge theories.Comment: 51 pages, 16 figures; v2: minor changes, added references, published
versio
Dynamics of D-branes on local Calabi-Yau geometrics
Tesis Doctoral inédita leída en la Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Física Teórica. Fecha de lectura: 14-03-200
Global structures from the infrared
Quantum field theories with identical local dynamics can admit different
choices of global structure, leading to different partition functions and
spectra of extended operators. Such choices can be reformulated in terms of a
topological field theory in one dimension higher, the symmetry TFT. In this
paper we show that this TFT can be reconstructed from a careful analysis of the
infrared Coulomb-like phases. In particular, the TFT matches between the UV and
the IR. This provides a purely field theoretical counterpart of several recent
results obtained via geometric engineering in various string/M/F theory setups
for theories in four and five dimensions that we confirm and extend.Comment: 26 pages, 4 figure
Non-geometric heterotic backgrounds and 6D SCFTs/LSTs
We study six-dimensional theories living on defects of
non-geometric backgrounds of the and the
heterotic strings. Such configurations can be
analyzed by dualizing to F-theory on elliptic K3-fibered non-compact Calabi-Yau
threefolds. The majority of the resulting dual threefolds turn out to contain
singularities which do not admit a crepant resolution. When the singularities
can be resolved crepantly, the theories living on the defect are explicitly
determined and reveal a form of duality in which distinct defects are described
by the same IR fixed point. In particular, a subclass of non-geometric defects
corresponds to SCFTs/LSTs arising from small heterotic instantons on ADE
singularities.Comment: Slightly extended version of the proceedings prepared for the
'Workshop on Geometry and Physics,' November 2016, Ringberg Castle, Germany;
16 page
IIB flux non-commutativity and the global structure of field theories
We discuss the origin of the choice of global structure for six dimensional (2, 0) theories and their compactifications in terms of their realization from IIB string theory on ALE spaces. We find that the ambiguity in the choice of global structure on the field theory side can be traced back to a subtle effect that needs to be taken into account when specifying boundary conditions at infinity in the IIB orbifold, namely the known non-commutativity of RR fluxes in spaces with torsion. As an example, we show how the classification of N = 4 theories by Aharony, Seiberg and Tachikawa can be understood in terms of choices of boundary conditions for RR fields in IIB. Along the way we encounter a formula for the fractional instanton number of N = 4 ADE theories in terms of the torsional linking pairing for rational homology spheres. We also consider six-dimensional (1, 0) theories, clarifying the rules for determining commutators of flux operators for discrete 2-form symmetries. Finally, we analyze the issue of global structure for four dimensional theories in the presence of duality defects
Non-supersymmetric meta-stable vacua from brane configurations
We construct configurations of NS-, D4-, and D6-branes in type IIA string theory, realizing the recently discussed non-supersymmetric meta-stable minimum of 4d = 1 SU(Nc) super-Yang-Mills theories with massive flavors. We discuss their lift to M-theory and the mechanism of pseudo-moduli stabilization. We extend the construction to many other examples of meta-stable minima, including the SO/Sp theories, SU(Nc) with matter in two-index tensor representations, and to a chiral gauge theory
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