During the semester we have a high energy seminar and a lunch seminar. In addition to these two seminars we participate in a joint theoretical high energy theory seminar in Newe Shalom. The joint seminar takes place on Tuesdays from 10:30 until 13:30 and includes two talks and lunch. This seminar is attended by the high energy groups of all the Israeli institutions and usually attracts a crowd of roughly twenty participants.
Title: O(N), Sp(2M), and OSp(1|2M) Models
Abstract: The upper critical dimension of the O(N) vector model is well-known to be 4. In dimension 4-epsilon it is described by the Wilson-Fisher IR fixed point of the O(N) invariant scalar field theory with a small positive quartic coupling. Above 4 dimensions, this theory is non-renormalizable, but in 4+epsilon dimensions it formally has a UV fixed point at small negative coupling. For sufficiently large N, its UV completion in 4<d<6 is the theory of N+1 scalar fields with O(N) invariant cubic interactions. It possesses a weakly coupled IR fixed point in dimension 6-epsilon where the scaling dimensions agree with the 1/N expansion. The scaling dimensions also have imaginary parts that are exponentially small in N; this suggests the existence of near-critical behavior in 5 dimensions.
Replacing N of the scalar fields by 2M anticommuting scalars, we find Sp(2M) invariant fixed points with imaginary coupling constants in dimension 6-epsilon. In the special case M=1 the symmetry is enhanced to OSp(1|2), and we argue that this theory describes the critical behavior of the zero-state Potts model, or equivalently the random spanning forests. We end by discussing the OSp(1|4) invariant fixed point of the field theory with quintic interactions. Its upper critical dimension is 10/3, and the 10/3-epsilon expansion provides estimates of new critical exponents in d=3.
Title: A new look at completeness and generalized symmetries
Abstract: We describe a proposal for completeness in QFT. It asserts that the physical observable algebras produced by local degrees of freedom are the maximal ones compatible with causality. We elaborate on equivalent statements to this idea such as the non-existence of generalized symmetries and the uniqueness of the net of algebras. For non-complete theories, we explain how the existence of generalized symmetries is unavoidable, and further, that they always come in dual pairs with precisely the same size”, measured by an algebraic index. Entropic order/disorder parameters can be defined that sense the dual pairs of generalized symmetries and satisfy a “certainty relation”. We briefly describe applications to understand the density of charged states and to holography.
Title: Exactly Marginal Deformations and their Supergravity Duals
Abstract: We study the space of supersymmetric AdS5 solutions of type IIB supergravity corresponding to the conformal manifold of the dual N = 1 conformal field theories. We show that the background geometry naturally encodes a generalised holomorphic structure, dual to the superpotential of the field theory, with the existence of the full solution following from a continuity argument. In particular, we address the long-standing problem of finding the gravity dual of the generic N = 1 deformations of N = 4 super Yang-Mills: though we are not able to give it in a fully explicit form, we provide a proof-of-existence of the supergravity solution. Using this formalism, we derive a new result for the Hilbert series of the deformed field theories.
Abstract: Motivated by holographic complexity, we examine a new class of gravitational observables in asymptotically AdS space associated with codimension-one slices or with codimension-zero regions. We argue that any of these observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
Title: Static Responses and Symmetries of Black Holes
Abstract: I will discuss features of the static responses of black holes in General Relativity. In particular, I will describe how black hole static responses are defined in point particle effective theory and will explain how the vanishing of black hole Love numbers is a consequence of symmetries of the wave equation in black hole backgrounds.
Title: Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
Abstract: We study Chern-Simons theories at large N with either bosonic or fermionic matter in the fundamental representation. The most fundamental operators in these theories are mesonic line operators, the simplest example being Wilson lines ending on fundamentals. We classify the conformal line operators along an arbitrary smooth path as well as the spectrum of conformal dimensions and transverse spins of their boundary operators at finite ‘t Hooft coupling. These line operators are shown to satisfy first-order chiral evolution equations, in which a smooth variation of the path is given by a factorized product of two line operators. We argue that this equation together with the spectrum of boundary operators are sufficient to uniquely determine the expectation values of these operators. We demonstrate this by bootstrapping the two-point function of the displacement operator on a straight line. We show that the line operators in the theory of bosons and the theory of fermions satisfy the same evolution equation and have the same spectrum of boundary operators.
Title: String stars in anti de Sitter space
Abstract: We study the ‘string star’ saddle, also known as the Horowitz-Polchinski solution, in the middle of d+1 dimensional thermal AdS space (d>2). We show that there’s a regime of temperatures in which the saddle is very similar to the flat space solution found by Horowitz and Polchinski. This saddle is hypothetically connected at lower temperatures to the small AdS black hole saddle. We also study, numerically and analytically, how the solutions are changed due to the AdS geometry for higher temperatures. Specifically, we describe how the solution joins with the thermal gas phase, and find the leading correction to the Hagedorn temperature due to the AdS curvature. Finally, we study the thermodynamic instabilities of the solution and argue for a Gregory-Laflamme-like instability whenever extra dimensions are present at the AdS curvature scale.
Title: Love and Naturalness
Abstract: It has been known for a decade that black holes are the most rigid objects in the universe: their tidal deformations (Love numbers) vanish identically in general relativity in four dimensions. This has represented a naturalness problem in the context of classical worldline effective field theory. In my talk I will present a new symmetry of general relativity (Love symmetry) that resolves this naturalness paradox. I will show that perturbations of rotating black holes enjoy an SL(2,R) symmetry in the suitable defined near zone approximation. This symmetry, while approximate in general, in fact yields exact results about static tidal deformations. This symmetry also implies that generic regular black hole perturbations form infinite-dimensional SL(2,R) representations, and in some special cases these are highest weight representations. It is the structure of these highest weight representations that forces the Love numbers to vanish. All other facts about Love numbers, including their puzzling behaviour for higher dimensional black holes, also acquire an elegant explanation in terms of SL(2,R) representation theory.
Title: Fracton-Elasticity Duality and Dipole Gauge Symmetry
Abstract: The generalization of particle-vortex duality in 2+1 dimensions to elasticity introduces emergent tensor gauge fields coupled to immobile charges, identified as fractons. We reformulate the duality in terms of ordinary gauge fields and derive mobility restrictions from gauge invariance.
Title: Large-Twist Limit for Any Charged Operator in N=4 SYM
Abstract: The fishnet theory was obtained as a strongly twisted, weakly coupled limit of N=4 SYM. Though still non-trivial, it is much simpler than the original N=4 SYM theory. The appearance of integrability is better understood (at least for the spectrum), and the holographic dual was constructed from first principles. Both can be tied to the existence of an iterative structure for some of the correlators. However, the fishnet theory only contains two scalar fields, and most of the operators of the original theory are now protected. In particular, the gauge boson has completely decoupled. We argue that it is possible to devise a double-scaling limit for any operator charged under the R-symmetry in N=4 SYM. We consider several examples that were protected in the fishnet theory, including operators containing the gauge boson. We show that the generic situation involves some type of mixing with other operators. This work is a first step towards a systematic expansion of N=4 SYM around the large-twist limit.