A
bstract
We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct ...the full supersymmetric completion to an abelian (2
,
0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory.
A
bstract
We generalise the work of 1810.11442 for the case of AdS
7
/CFT
5
. Starting from the 2-equivalent charge, 3-equivalent rotation non-extremal black-hole solution in 7D gauged supergravity, ...we consider the supersymmetric and then the extremal limit and evaluate the associated thermodynamic quantities. Away from extremality, the black-hole solution becomes complex. The entropy is then given by the Legendre transform of the on-shell action with respect to two complex chemical potentials subject to a constraint. At the conformal boundary we derive the dual background and evaluate the corresponding partition function for the
A
N–
1
6D (2,0) theory at large
N
in a Cardy-like limit. This is carried out via a 5D
N
= 2 super Yang-Mills calculation on
S
5
. The gravitational on-shell action is found to be exactly reproduced by the boundary partition function at large
N.
We argue that this agreement puts strong constraints on the form of possible higher-derivative corrections to the 5D gauge theory that is used in the
S
5
evaluation.
A
bstract
Starting from the recent action proposed by Sen
1
,
2
, we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. ...Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4
k
+2 dimensions.
A
bstract
Building on
1
, we uncover new properties of type-B conformal anomalies for Coulomb-branch operators in continuous families of 4D
N
= 2 SCFTs. We study a large class of such anomalies on ...the Higgs branch, where conformal symmetry is spontaneously broken, and compare them with their counterpart in the CFT phase. In Lagrangian the- ories, the non-perturbative matching of the anomalies can be determined with a weak coupling Feynman diagram computation involving massive multi-loop banana integrals. We extract the part corresponding to the anomalies of interest. Our calculations support the general conjecture that the Coulomb-branch type-B conformal anomalies always match on the Higgs branch when the IR Coulomb-branch chiral ring is empty. In the opposite case, there are anomalies that do not match. An intriguing implication of the mismatch is the existence of a second covariantly constant metric on the conformal manifold (other than the Zamolodchikov metric), which imposes previously unknown restrictions on its holonomy group.
We revisit the relation of the six-dimensional (2, 0) M5-brane Conformal Field Theory compactified on
S
1
to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D ...super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2, 0) theory on
S
1
is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.
A
bstract
We discuss instanton operators in five-dimensional gauge theories. These are defined as disorder operators which create a non-vanishing second Chern class on a foursphere surrounding their ...insertion point. As such they may be thought of as higherdimensional analogues of three-dimensional monopole (or ‘t Hooft) operators. We argue that they play an important role in the enhancement of the Lorentz symmetry for maximally supersymmetric Yang-Mills to SO(1, 5) at strong coupling.
Exact deconstruction of the 6D (2,0) theory Hayling, J.; Papageorgakis, C.; Pomoni, E. ...
The journal of high energy physics,
06/2017, Letnik:
2017, Številka:
6
Journal Article
Recenzirano
Odprti dostop
A
bstract
The dimensional-deconstruction prescription of Arkani-Hamed, Cohen, Kaplan, Karch and Motl provides a mechanism for recovering the
A
-type (2,0) theories on
T
2
, starting from a ...four-dimensional
N
=
2
circular-quiver theory. We put this conjecture to the test using two exact-counting arguments: in the decompactification limit, we compare the Higgs-branch Hilbert series of the 4D
N
=
2
quiver to the “half-BPS” limit of the (2,0) superconformal index. We also compare the full partition function for the 4D quiver on
S
4
to the (2,0) partition function on
S
4
× T
2
. In both cases we find exact agreement. The partition function calculation sets up a dictionary between exact results in 4D and 6D.
We consider space and time dependent fuzzy spheres
S
2
p
arising in
D
1
–
D
(
2
p
+
1
)
intersections in IIB string theory and collapsing
D
(
2
p
)
-branes in IIA string theory. In the case of
S
2
, ...where the periodic space and time-dependent solutions can be described by Jacobi elliptic functions, there is a duality of the form
r to
1
/
r
which relates the space and time dependent solutions. This duality is related to complex multiplication properties of the Jacobi elliptic functions. For
S
4
funnels, the description of the periodic space and time dependent solutions involves the Jacobi inversion problem on a hyper-elliptic Riemann surface of genus 3. Special symmetries of the Riemann surface allow the reduction of the problem to one involving a product of genus one surfaces. The symmetries also allow a generalisation of the
r to
1
/
r
duality. Some of these considerations extend to the case of the fuzzy
S
6
.
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