A
bstract
We carry out a detailed exploration of the deformations of rank-two five-dimensional superconformal field theories (SCFTs)
T
X
, which are geometrically engineered by M-theory on the space ...transverse to isolated toric Calabi-Yau (CY) threefold singularities
X
. Deformations of 5d
N
= 1 SCFTs can lead to “gauge-theory phases,” but also to “non-gauge-theoretic phases,” which have no known Lagrangian interpretation. In previous work, a technique relying on fiberwise M-theory/type IIA duality was developed to associate a type IIA background to any resolution of
X
which admits a suitable projection of its toric diagram. The type IIA background consists of an A-type ALE space fibered over the real line, with stacks of coincident D6-branes wrapping 2-cycles in the ALE resolution. In this work, we combine that technique with some elementary ideas from graph theory, to analyze mass deformations of
T
X
when
X
is a isolated toric CY
3
singularity of rank-two (that is, it has two compact divisors). We explicitly derive type IIA descriptions of all isolated rank-two CY
3
toric singularities. We also comment on the renormalization group flows in the extended parameter spaces of these theories, which frequently relate distinct geometries by flowing to theories with lower flavor symmetries, including those that describe non-gauge-theoretic phases.
A
bstract
We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral ...spectrum can be induced by M-theory four-form flux on the fully resolved Calabi-Yau fourfold. In M-theory this flux yields three-dimensional Chern-Simons couplings in the Coulomb branch of the gauge theory. In the F-theory compactification on an additional circle these couplings are only generated by one-loop corrections with charged fermions running in the loop. This identification allows us to infer the net number of chiral matter fields of the four-dimensional effective theory. The chirality formulas can be evaluated by using the intersection numbers and the cones of effective curves of the resolved fourfolds. We argue that a study of the effective curves also allows to follow the resolution process at each co-dimension. To write simple chirality formulas we suggest to use the effective curves involved in the resolution process to determine the matter surfaces and to connect with the group theory at co-dimension two in the base. We exemplify our methods on examples with SU(5) and SU(5) × U(1) gauge group.
A
bstract
We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to
AdS
5
. These describe spontaneously broken higher-form gauge symmetries in the bulk. ...Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their ’t Hooft anomalies for 4d
N
= 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a ℤ
2
orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0-, 1-, and 2-form symmetries and continuous 0-form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants.
One of the major neuropsychological models of personality, developed by world-renowned psychologist Professor Jeffrey Gray, is based upon individual differences in reactions to punishing and ...rewarding stimuli. This biological theory of personality - now widely known as 'Reinforcement Sensitivity Theory' (RST) - has had a major influence on motivation, emotion and psychopathology research. In 2000, RST was substantially revised by Jeffrey Gray, together with Neil McNaughton, and this revised theory proposed three principal motivation/emotion systems: the 'Fight-Flight-Freeze System' (FFFS), the 'Behavioural Approach System' (BAS) and the 'Behavioural Inhibition System' (BIS). This is the first book to summarise the Reinforcement Sensitivity Theory of personality and bring together leading researchers in the field. It summarizes all of the pre-2000 RST research findings, explains and elaborates the implications of the 2000 theory for personality psychology and lays out the future research agenda for RST.
A
bstract
Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs (BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski spacetime. The ...Carrollian algebra is obtained from the Poincare algebra by taking the speed of light to zero, and the conformal version similarly follows. In this paper, we construct explicit examples of Conformal Carrollian field theories as limits of relativistic conformal theories, which include Carrollian versions of scalars, fermions, electromagnetism, Yang-Mills theory and general gauge theories coupled to matter fields. Due to the isomorphism with BMS symmetries, these field theories form prototypical examples of holographic duals to gravitational theories in asymptotically flat spacetimes. The intricacies of the limiting procedure leads to a plethora of different Carrollian sectors in the gauge theories we consider. Concentrating on the equations of motion of these theories, we show that even in dimensions
d
= 4, there is an infinite enhancement of the underlying symmetry structure. Our analysis is general enough to suggest that this infinite enhancement is a generic feature of the ultra-relativistic limit that we consider.
A
bstract
We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are ...computed by the partition function of gravity coupled to matter semi-classically expanded about the round three-sphere saddle. We investigate a corresponding Lorentzian picture — drawing inspiration from the topological entanglement entropy literature — in the form of an edge-mode theory residing at the de Sitter horizon. We extend the discussion to three-dimensional gravity with positive cosmological constant, viewed (semi-classically) as a complexified Chern-Simons theory. The putative gravitational edge-mode theory is a complexified version of the chiral Wess-Zumino-Witten model associated to the edge-modes of ordinary Chern-Simons theory. We introduce and solve a family of complexified Abelian Chern-Simons theories as a way to elucidate some of the more salient features of the gravitational edge-mode theories. We comment on the relation to the AdS
4
/CFT
3
correspondence.
Circuit complexity for coherent states Guo, Minyong; Hernandez, Juan; Myers, Robert C. ...
The journal of high energy physics,
10/2018, Letnik:
2018, Številka:
10
Journal Article
Recenzirano
Odprti dostop
A
bstract
We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen’s geometric approach as in
1
. The complexity of the coherent states have the same UV ...divergences as the vacuum state complexity and so we consider the finite increase of the complexity of these states over the vacuum state. One observation is that generally, the optimal circuits introduce entanglement between the normal modes at intermediate stages even though our reference state and target states are not entangled in this basis. We also compare our results from Nielsen’s approach with those found using the Fubini-Study method of
2
. For general coherent states, we find that the complexities, as well as the optimal circuits, derived from these two approaches, are different.
We develop a theory of vector spaces spanned by orbit-finite sets. Using this theory, we give a decision procedure for equivalence of weighted register automata, which are the common generalization ...of weighted automata and register automata for infinite alphabets. The algorithm runs in exponential time, and in polynomial time for a fixed number of registers. As a special case, we can decide, with the same complexity, language equivalence for unambiguous register automata, which improves previous results in three ways: (a) we allow for order comparisons on atoms, and not just equality; (b) the complexity is exponentially better; and (c) we allow automata with guessing.
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