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href="https://physics.mit.edu/contact-us/">Contact</a></li> <li> <form role="search" method="get" id="searchform" class="searchform" action="https://physics.mit.edu/"> <div> <label class="screen-reader-text" for="s">Search for:</label> <input type="text" value="" name="s" id="s" /> <input type="submit" id="searchsubmit" value="Search" /> </div> </form> <button class="search-form-toggle" aria-controls="searchform" aria-expanded="false">Search</button> </li> </ul> </div> </div> </div> </header> <section id="content" role="main" class="content-wrapper content-wrapper--faculty"> <div class="container"> <div class="row"> <div class="col"> </div> </div> </div> <div class="wrapper "> <div class="content-wrapper"> <article class="post-type-faculty" id="post-18729"> <div class="faculty__header faculty__header--no-hero"> <div class="container"> <div class="row"> <div class="col-12 col-lg-8"> <div class="faculty__header-main-content"> <h1>Shu-Heng Shao</h1> <div class="faculty__title"> Assistant Professor of Physics </div> <div class="faculty__intro"> Focuses on generalizing the symmetry principle in quantum field theories and lattice models, with applications in HEP, CMT, and quantum gravity. </div> <div class="faculty__header-research-areas"> <div class="faculty__header-research-areas-label"> Research Areas </div> <div class="faculty__header-research-areas-links"> <a href="https://physics.mit.edu/research-areas/high-energy-and-particle-theory/">High Energy and Particle Theory</a>, <a href="https://physics.mit.edu/research-areas/condensed-matter-theory/">Condensed Matter Theory</a>, <a href="https://physics.mit.edu/research-areas/quantum-gravity-and-field-theory/">Quantum Gravity and Field Theory</a> </div> </div> </div> </div> <div class="col-12 col-lg-4"> <div class="faculty__header-sidebar-content"> <div class="faculty__header-sidebar-image"> <picture> <source srcset="https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-420x334-c-default.jpg 1x, https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-840x668-c-default.jpg 2x" media="all and (min-width: 1080px)" type="image/jpeg"> <source srcset="https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-420x372-c-default.jpg 1x, https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-840x744-c-default.jpg 2x" media="all and (min-width: 768px) and (max-width: 1079px)" type="image/jpeg"> <source srcset="https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-193x171-c-default.jpg 1x, https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-386x342-c-default.jpg 2x" type="image/jpeg"> <img src="https://physics.mit.edu/wp-content/uploads/2024/06/shao_shu-heng-orig-aspect-ratio-420-334-420x334-c-default.jpg" alt="headshot of Shu-Heng Shao, Assistant Professor of Physics" typeof="foaf:Image"> </picture> </div> <div class="faculty__sidebar-content-group-wrapper"> <div class="faculty__sidebar-content-group"> <div class="faculty__phone-number"> (617) 253-6263 </div> <div class="faculty__email"> <a href="mailto:shuheng@mit.edu">shuheng@mit.edu</a> </div> <div class="faculty__room"> Office: <a href="http://whereis.mit.edu/?go=6-416A">6-416A</a> </div> </div> <div class="faculty__sidebar-content-group"> <div class="faculty__affiliated-centers"> Affiliated Center(s): <a href="https://physics.mit.edu/research/labs-centers/center-for-theoretical-physics/">Center for Theoretical Physics</a> </div> </div> </div> </div> </div> </div> </div> </div> <div class="gutenberg-body gutenberg-body--faculty"> <div class="container"> <div class="row"> <div class="col col-lg-10 offset-lg-1"> <div class="gutenberg-body__content"> <h2 class="wp-block-opus-core-block-rewrite-oh text-none">Research Interests</h2> <p class="wp-block-opus-core-block-rewrite-op text-none">Shu-Heng Shao explores the structural aspects of quantum field theories and lattice systems. Recently, his research has centered on generalized symmetries and anomalies, with a particular focus on a novel type of symmetry without an inverse, referred to as non-invertible symmetries. These new symmetries have been identified in various quantum systems, including the Ising model, Yang-Mills theories, lattice gauge theories, and the Standard Model. They lead to new constraints on renormalization group flows, new conservation laws, and new organizing principles in classifying phases of quantum matter.</p> <h2 class="wp-block-opus-core-block-rewrite-oh text-none">Biographical Sketch</h2> <p class="wp-block-opus-core-block-rewrite-op text-none">Shu-Heng Shao was born and raised in Taiwan. He obtained his B.S. in physics from National Taiwan University in 2010, and his Ph.D. in physics from Harvard University in 2016, under the direction of Prof. Xi Yin. He was then a 5-year long-term member at the Institute for Advanced Study in Princeton before he moved to the Yang Institute for Theoretical Physics at Stony Brook University as an assistant professor in 2021. In 2024, he joined the MIT faculty.</p> </div> </div> </div> </div> </div> <div class="faculty__awards-and-honors"> <div class="container"> <div class="row"> <div class="col"> <h2 class="faculty__awards-and-honors-title tag-heading">Awards & Honors</h2> </div> </div> <div class="row"> <div class="col col-lg-8 offset-lg-1"> <ul class="list-unstyled"> <li class="faculty__award"> <strong>2023</strong> <span>//</span> Simons Collaboration on Ultra-Quantum Matter </li> <li class="faculty__award"> <strong>2023</strong> <span>//</span> Frontiers of Science Award </li> <li class="faculty__award"> <strong>2021</strong> <span>//</span> National Science Foundation Award </li> <li class="faculty__award"> <strong>2017</strong> <span>//</span> New World Mathematics Award </li> </ul> </div> </div> </div> </div> <div class="faculty__publications"> <div class="container"> <div class="row"> <div class="col"> <h2 class="faculty__publications-title tag-heading">Key Publications</h2> </div> </div> <div class="row"> <div class="col col-lg-8 offset-lg-1"> <ul class="list-unstyled"> <li class="faculty__publication"> <p>Yichul Choi, Matthew Forslund, Ho Tat Lam, Shu-Heng Shao, “Quantization of Axion-Gauge Couplings and Noninvertible Higher Symmetries”, Phys.Rev.Lett 132 (2024) 12, 121601</p> </li> <li class="faculty__publication"> <p>Nathan Seiberg, Shu-Heng Shao, “Majorana chain and Ising model — (non-invertible) translations, anomalies, and emanant symmetries”, SciPost Phys. 16 (2024) 064</p> </li> <li class="faculty__publication"> <p>Yichul Choi, Ho Tat Lam, Shu-Heng Shao, “Noninvertible Global Symmetries in the Standard Model”, Phys.Rev.Lett. 129 (2022) 16, 161601</p> </li> <li class="faculty__publication"> <p>Konstantinos Roumpedakis, Sahand Seifnashri, Shu-Heng Shao, “Higher Gauging and Non-invertible Condensation Defects”, Commun.Math.Phys 401 (2023) 3, 3043-3107</p> </li> <li class="faculty__publication"> <p>Chi-Ming Chang, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin, “Topological Defect Lines and Renormalization Group Flows in Two Dimensions”, JHEP 01 (2019) 026</p> </li> </ul> </div> </div> </div> </div> <div class="faculty__all-publications"> <div class="container"> <div class="row"> <div class="col col-lg-8 offset-lg-1"> <a class="read-more" href="https://inspirehep.net/authors/1064881?ui-citation-summary=true">All Publications</a> </div> </div> </div> </div> </article> </div><!-- /content-wrapper --> </div> </section> <footer id="footer" class="text-center"> <div class="footer__menu container"> <div class="row"> <div class="col-sm"> <h2 class="sr-only">Footer Menu</h2> <nav class="nav justify-content-center"> <a target="" href="https://physics.mit.edu/support-physics/">Giving</a> <a target="" href="https://physics.mit.edu/physics-directory/">Directory</a> <a target="" href="https://physics.mit.edu/contact-us/">Contact Us</a> </nav> </div> </div> </div> <div class="footer__social container"> <div class="row"> <div class="col-sm"> <h2 class="sr-only">Social Media Links</h2> <nav class="nav justify-content-center"> <a class="opus-icon icon-twitter" target="" href="https://twitter.com/MIT_Physics"><span class="sr-only">Twitter</span></a> <a class="opus-icon icon-instagram" target="" href="https://www.instagram.com/physicsmit/"><span class="sr-only">Instagram</span></a> <a class="opus-icon icon-facebook" target="" href="https://www.facebook.com/mitphysics"><span class="sr-only">Facebook</span></a> <a class="opus-icon icon-youtube" target="" href="https://www.youtube.com/c/MITDepartmentofPhysics/"><span class="sr-only">Youtube</span></a> </nav> </div> </div> </div> <div class="footer__info container"> <div class="row"> <div class="col-sm"> MIT Department of Physics<br /> 77 Massachusetts Avenue<br /> Building 4, Room 304<br /> Cambridge, MA 02139 <br /> 617–253–4800 </div> </div> </div> <div class="footer__copyright container"> <div class="row"> <div class="col-sm"> © 2024 MIT Physics </div> </div> </div> <div class="footer__sub-menu container"> <div class="row"> <div class="col-sm"> <h2 class="sr-only">Footer Menu</h2> <nav class="nav justify-content-center"> <a target="" href="https://emergency.mit.edu/">For Emergencies</a> <a target="" href="https://accessibility.mit.edu/">Accessibility</a> </nav> </div> </div> </div> </footer> </body> </html>