## Research

The members of QMAP are engaged in using theoretical physics and mathematics to understand the universe at large. Our research focuses on foundational issues about the frameworks we use to encapsulate the physical laws and the mathematical structures behind them. The questions we address focus on the physics of black holes, emergence of spacetime and geometry from some simple underlying description, the holographic principle, tackling questions about simpler and more elegant formulations of quantum field theories, quantum information, and the mathematical relations between geometry and quantum field theories.

A popular-level account of the kinds of issues we like to think about can be found in our Science pages.

## Primary Focus areas

- Mathematical Physics
- Quantum Field Theory
- Quantum Gravity
- Quantum Information
- String Theory
- Theoretical High Energy Physics
- Theoretical Cosmology

More more information, see the list of publications by the core group of QMAP members working on Fields, Strings, and Gravity.

## What we do

Our understanding of quantum dynamics in diverse regimes, ranging from low energy dynamics of many-body systems seen in table-top experiments, to ultra-high energy particle physics seen at colliders, is well captured by the framework of quantum field theory. However, despite its many successes, there remain some inadequacies in our understanding of quantum field theories.

On the one hand, the dynamics of gravitational interactions does not fit well within this framework, as well exemplified by both technical issues pertaining to renormalization and conceptual issues relating to the black hole information paradox. Attempting to reconcile some of these problems naturally leads us to string theory, which replaces the canonical particle-like degrees of freedom of quantum field theory with string-like degrees of freedom. Again while string theory has been successful in addressing some questions, many others still remain a subject of active research.

On the other hand, recent developments in the past two decades have revealed a plethora of intriguing surprises. The AdS/CFT correspondence discovered close to the turn of the century makes it clear that there is a complex duality between string theory and quantum field theory. Likewise, the study of quantum scattering amplitudes has revealed new mathematical structures which suggest that the traditional formulations of quantum fields may be superseded by a simpler framework.

The main research focus of the group is to develop our understanding of these issues further. Some of the current areas of research we are focused on include:

- What role does quantum information play in formulating quantum field theories and how does it elucidate the duality between field theory and strings?
- What is the simplest formulation of quantum field theory?
- How does one derive universal features of low energy dynamics seen in diverse physical systems from these fundamental formulations?
- What is the appropriate mathematical language for describing the dynamics of quantum fields?

## Local Seminar Schedule

There are several seminar series in theoretical and mathematical physics at UCD:

- Fields, Strings, Gravity seminar

Thurdays @ 3:30pm - QMAP lunch seminar

Fridays @ 12:15pm - Joint Theory seminar

Mondays @ 1:30pm - Cosmology Seminar

Thursdays @ 12:10pm - Mathematical Physics Seminar

Wednesdays @ 4:10pm

In addition please consult the respective department calendars for further information on upcoming events:

## Recent Conference Talks

Some of the recent overview talks, accessible online, given by the QMAP members are:

- TD:
*Categorified Hyperbolic Geometry*,

New Developments in TQFT

Centre for Quantum Geometry of Moduli Spaces, Aarhus; July 2015 - SD:
*Approximate Integrability on the Worldsheet of the QCD String*,

Integrability in Gauge and String Theory (IGST)

Kingâ€™s College, London, UK; July 2015

- VH:
*Entanglement in holography*,

Closing the entanglement gap: Quantum information, quantum matter, and quantum fields conference, KITP, Santa Barbara, CA; Jun.2015 - JT:
*Scattering inequalities*,

Eurostrings 2015, Cambridge, UK; Mar 2015 - MR:
*Positivity, negativity, entanglement, and holography*,

Quantum Information in Quantum Gravity II, PI, Waterloo, Canada; Aug.2015 - MR:
*Brownian branes, emergent symmetries, and hydrodynamics*,

Strings 2015, ICTS, Bengaluru, India; Jun.2015