1,120 research outputs found
Monopole Bubbling via String Theory
In this paper, we propose a string theory description of generic 't Hooft
defects in supersymmetric gauge theories. We show that
the space of supersymmetric ground states is given by the moduli space of
singular monopoles and that in this setting, Kronheimer's correspondence is
realized as T-duality. We conjecture that this brane configuration can be used
to study the full dynamics of monopole bubbling.Comment: 46 pages plus Appendi
The String Landscape, the Swampland, and the Missing Corner
We give a brief overview of the string landscape and techniques used to
construct string compactifications. We then explain how this motivates the
notion of the swampland and review a number of conjectures that attempt to
characterize theories in the swampland. We also compare holography in the
context of superstrings with the similar, but much simpler case of topological
string theory. For topological strings, there is a direct definition of
topological gravity based on a sum over a "quantum gravitational foam." In this
context, holography is the statement of an identification between a gravity and
gauge theory, both of which are defined independently of one another. This
points to a missing corner in string dualities which suggests the search for a
direct definition of quantum theory of gravity rather than relying on its
strongly coupled holographic dual as an adequate substitute (Based on TASI 2017
lectures given by C. Vafa)
Anomaly Enforced Gaplessness and Symmetry Fractionalization for Symmetries
Symmetries and their anomalies give strong constraints on renormalization
group (RG) flows of quantum field theories. Recently, the identification of a
theory's global symmetries with its topological sector has provided additional
constraints on RG flows to symmetry preserving gapped phases due to
mathematical results in category and topological quantum field theory. In this
paper, we derive constraints on RG flows from -valued pure- and
mixed-gravitational anomalies that can only be activated on non-spin manifolds.
We show that such anomalies cannot be matched by a unitary, symmetry preserving
gapped phase without symmetry fractionalization. In particular, we discuss
examples that commonly arise in gauge theories with fermions.Comment: 17 pages plus reference
Wall Crossing from Dirac Zeromodes
We explore the physics of two-body decay of BPS states using semiclassical
analysis to construct explicit solutions that illustrate the main features of
wall crossing, for both ordinary and framed BPS states. In particular we
recover the primitive wall-crossing formula from an asymptotic analysis of
certain Dirac-type operators on monopole moduli spaces. Along the way we give
an asymptotic metric for the moduli space of singular monopoles, analogous to
the Gibbons-Manton and Lee-Weinberg-Yi metrics for the moduli space of smooth
monopoles, and we find evidence for the existence of stable non-BPS
boundstates. Our discussion applies to four-dimensional N = 2 super-Yang-Mills
theories with general gauge group and general 't Hooft defects.Comment: 32 pages plus appendices; 1 figure. v2: references added, typos
fixed. v3: references added, published versio
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