Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | [M:[[4, 4], [-12, -12], [4, 4], [-5, 7]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^6.055 + 2*t^6.182 + 2*t^6.417 + 3*t^6.472 + 3*t^6.527 + 3*t^6.547 + t^6.582 + 4*t^6.599 + 3*t^6.654 + t^6.764 + t^7.019 - t^7.074 + 2*t^7.126 + 2*t^7.181 + 2*t^7.236 + 6*t^7.308 + 2*t^7.363 + t^7.418 + t^7.491 - 2*t^7.546 + 4*t^7.673 + t^7.728 + t^7.78 + t^7.783 + t^7.835 + t^7.89 + t^7.945 + 4*t^7.962 + 7*t^8.017 + 3*t^8.072 + t^8.127 + t^8.145 - 7*t^8.2 - 5*t^8.255 - t^8.31 + 2*t^8.382 + t^8.434 + t^8.489 + t^8.544 + t^8.599 + 3*t^8.617 + t^8.654 + 5*t^8.672 + 8*t^8.726 + 4*t^8.747 + 3*t^8.781 + 5*t^8.799 + t^8.802 + t^8.836 + 2*t^8.854 - 8*t^8.909 - 2*t^8.964 - t^4.546/y - t^6.745/y + t^7.272/y + t^7.399/y + t^7.454/y + t^7.637/y - t^7.819/y + (4*t^8.109)/y + (2*t^8.163)/y + t^8.346/y + (4*t^8.473)/y + (2*t^8.528)/y + (2*t^8.763)/y + (4*t^8.818)/y + t^8.873/y + t^8.945/y - t^4.546*y - t^6.745*y + t^7.272*y + t^7.399*y + t^7.454*y + t^7.637*y - t^7.819*y + 4*t^8.109*y + 2*t^8.163*y + t^8.346*y + 4*t^8.473*y + 2*t^8.528*y + 2*t^8.763*y + 4*t^8.818*y + t^8.873*y + t^8.945*y | (2*g2^7*t^2.2)/g1^5 + (g1^7*t^2.255)/g2^5 + 2*g1^4*g2^4*t^2.909 + (2*t^3.274)/(g1^12*g2^12) + g1*g2^13*t^3.563 + g1^13*g2*t^3.618 + (g2^5*t^3.745)/g1^7 + (g2^22*t^4.217)/g1^2 + g1^10*g2^10*t^4.272 + (g1^22*t^4.327)/g2^2 + (3*g2^14*t^4.399)/g1^10 + 2*g1^2*g2^2*t^4.454 + (g1^14*t^4.509)/g2^10 + (4*g2^11*t^5.109)/g1 + (2*g1^11*t^5.163)/g2 + (3*t^5.473)/(g1^17*g2^5) + t^5.528/(g1^5*g2^17) + (2*g2^20*t^5.763)/g1^4 + 5*g1^8*g2^8*t^5.818 + (g1^20*t^5.873)/g2^4 + (g2^12*t^5.945)/g1^12 - 3*t^6. - (g1^12*t^6.055)/g2^12 + (2*t^6.182)/(g1^8*g2^8) + (2*g2^29*t^6.417)/g1^7 + 3*g1^5*g2^17*t^6.472 + 3*g1^17*g2^5*t^6.527 + (3*t^6.547)/(g1^24*g2^24) + (g1^29*t^6.582)/g2^7 + (4*g2^21*t^6.599)/g1^15 + (3*g2^9*t^6.654)/g1^3 + (g1^21*t^6.764)/g2^15 + t^7.019/(g1^19*g2^7) - t^7.074/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.126 + 2*g1^14*g2^14*t^7.181 + 2*g1^26*g2^2*t^7.236 + (6*g2^18*t^7.308)/g1^6 + 2*g1^6*g2^6*t^7.363 + (g1^18*t^7.418)/g2^6 + (g2^10*t^7.491)/g1^14 - (2*t^7.546)/(g1^2*g2^2) + (4*g2^2*t^7.673)/g1^22 + t^7.728/(g1^10*g2^10) + (g2^35*t^7.78)/g1 + (g1^2*t^7.783)/g2^22 + g1^11*g2^23*t^7.835 + g1^23*g2^11*t^7.89 + (g1^35*t^7.945)/g2 + (4*g2^27*t^7.962)/g1^9 + 7*g1^3*g2^15*t^8.017 + 3*g1^15*g2^3*t^8.072 + (g1^27*t^8.127)/g2^9 + (g2^19*t^8.145)/g1^17 - (7*g2^7*t^8.2)/g1^5 - (5*g1^7*t^8.255)/g2^5 - (g1^19*t^8.31)/g2^17 + (2*t^8.382)/(g1^13*g2) + (g2^44*t^8.434)/g1^4 + g1^8*g2^32*t^8.489 + g1^20*g2^20*t^8.544 + g1^32*g2^8*t^8.599 + (3*g2^36*t^8.617)/g1^12 + (g1^44*t^8.654)/g2^4 + 5*g2^24*t^8.672 + 8*g1^12*g2^12*t^8.726 + (4*t^8.747)/(g1^29*g2^17) + 3*g1^24*t^8.781 + (5*g2^28*t^8.799)/g1^20 + t^8.802/(g1^17*g2^29) + (g1^36*t^8.836)/g2^12 + (2*g2^16*t^8.854)/g1^8 - 8*g1^4*g2^4*t^8.909 - (2*g1^16*t^8.964)/g2^8 - t^4.546/(g1^2*g2^2*y) - (g2^5*t^6.745)/(g1^7*y) + (g1^10*g2^10*t^7.272)/y + (g2^14*t^7.399)/(g1^10*y) + (g1^2*g2^2*t^7.454)/y + t^7.637/(g1^6*g2^6*y) - t^7.819/(g1^14*g2^14*y) + (4*g2^11*t^8.109)/(g1*y) + (2*g1^11*t^8.163)/(g2*y) + (g1^3*t^8.346)/(g2^9*y) + (4*t^8.473)/(g1^17*g2^5*y) + (2*t^8.528)/(g1^5*g2^17*y) + (2*g2^20*t^8.763)/(g1^4*y) + (4*g1^8*g2^8*t^8.818)/y + (g1^20*t^8.873)/(g2^4*y) + (g2^12*t^8.945)/(g1^12*y) - (t^4.546*y)/(g1^2*g2^2) - (g2^5*t^6.745*y)/g1^7 + g1^10*g2^10*t^7.272*y + (g2^14*t^7.399*y)/g1^10 + g1^2*g2^2*t^7.454*y + (t^7.637*y)/(g1^6*g2^6) - (t^7.819*y)/(g1^14*g2^14) + (4*g2^11*t^8.109*y)/g1 + (2*g1^11*t^8.163*y)/g2 + (g1^3*t^8.346*y)/g2^9 + (4*t^8.473*y)/(g1^17*g2^5) + (2*t^8.528*y)/(g1^5*g2^17) + (2*g2^20*t^8.763*y)/g1^4 + 4*g1^8*g2^8*t^8.818*y + (g1^20*t^8.873*y)/g2^4 + (g2^12*t^8.945*y)/g1^12 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 547 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6104 | 0.7857 | 0.777 | [M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]] | 3*t^2.227 + 2*t^2.908 + 2*t^3.275 + 2*t^3.59 + t^3.773 + 3*t^4.271 + 6*t^4.454 + 6*t^5.136 + 4*t^5.502 + 8*t^5.817 - 3*t^6. - t^4.546/y - t^4.546*y | detail | |
| 546 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.594 | 0.7723 | 0.7691 | [M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | t^2.089 + 2*t^2.294 + 2*t^2.765 + t^3.235 + t^3.44 + 3*t^3.706 + 2*t^3.911 + t^4.116 + t^4.177 + 2*t^4.382 + 3*t^4.587 + 2*t^4.853 + 4*t^5.058 + t^5.324 + 5*t^5.529 + 2*t^5.734 + t^5.795 + 3*t^6. - t^4.618/y - t^4.618*y | detail | |
| 1791 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6082 | 0.781 | 0.7787 | [M:[0.9798, 1.0606, 0.9798, 0.7652], q:[0.7449, 0.2753], qb:[0.4495, 0.4899], phi:[0.5101]] | t^2.174 + 2*t^2.295 + 2*t^2.939 + 2*t^3.182 + t^3.583 + t^3.705 + t^3.826 + t^4.227 + 2*t^4.348 + 3*t^4.47 + 3*t^4.591 + 2*t^5.114 + 4*t^5.235 + t^5.356 + 3*t^5.477 + t^5.758 + 4*t^5.879 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 548 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6298 | 0.8212 | 0.7669 | [M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | 4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. - t^4.547/y - t^4.547*y | detail | |
| 1794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6282 | 0.8184 | 0.7676 | [M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | 2*t^2.169 + t^2.297 + t^2.305 + 2*t^2.932 + 2*t^3.205 + t^3.566 + t^3.703 + t^4.2 + t^4.329 + 3*t^4.337 + t^4.458 + 2*t^4.466 + 2*t^4.474 + t^4.595 + t^4.602 + t^4.61 + 4*t^5.1 + 2*t^5.229 + 2*t^5.237 + 3*t^5.373 + t^5.502 + 2*t^5.51 + 2*t^5.735 + 3*t^5.863 + 2*t^5.871 - 3*t^6. - t^4.534/y - t^4.534*y | detail | |
| 1795 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6272 | 0.8147 | 0.7699 | [M:[0.9777, 1.0668, 0.9777, 0.7484, 0.785], q:[0.7444, 0.2778], qb:[0.4626, 0.4706], phi:[0.5111]] | t^2.221 + 2*t^2.245 + t^2.355 + 2*t^2.933 + 2*t^3.2 + t^3.621 + t^3.779 + t^4.309 + t^4.333 + t^4.357 + t^4.443 + 2*t^4.467 + 3*t^4.491 + t^4.576 + 2*t^4.6 + t^4.71 + 2*t^5.155 + 4*t^5.179 + 2*t^5.288 + t^5.422 + 3*t^5.446 + 2*t^5.555 + t^5.842 + 4*t^5.866 - 3*t^6. - t^4.533/y - t^4.533*y | detail | |
| 1793 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.61 | 0.7861 | 0.776 | [M:[0.9754, 1.0739, 0.9754, 0.7192], q:[0.7438, 0.2808], qb:[0.4877, 0.4384], phi:[0.5123]] | 2*t^2.158 + t^2.305 + 2*t^2.926 + 2*t^3.222 + t^3.547 + 2*t^3.695 + t^4.168 + 4*t^4.315 + 3*t^4.463 + t^4.611 + 4*t^5.084 + 2*t^5.232 + 3*t^5.379 + t^5.527 + 2*t^5.704 + 6*t^5.852 - 2*t^6. - t^4.537/y - t^4.537*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 216 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5911 | 0.7501 | 0.788 | [M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. - t^4.545/y - t^4.545*y | detail |