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 |
|---|---|---|---|---|---|---|---|---|---|
| 48297 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0279, 1.0484, 0.9721, 0.8548, 0.8753, 0.6693], q:[0.4274, 0.5446], qb:[0.5242, 0.6005], phi:[0.4758]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [7, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. + t^6.024 + t^6.061 + t^6.123 + t^6.29 + t^6.352 + t^6.413 + 2*t^6.581 + 2*t^6.642 + t^6.703 + t^6.81 + t^6.847 + 2*t^6.871 + t^6.908 + t^6.932 + t^6.969 + t^7.039 + t^7.1 + 2*t^7.137 + t^7.161 + 3*t^7.198 + t^7.223 + 3*t^7.26 + t^7.321 + t^7.366 + 2*t^7.427 + 3*t^7.489 + 3*t^7.55 + t^7.595 + t^7.611 + t^7.656 + t^7.694 + 2*t^7.718 + t^7.755 + 3*t^7.779 + t^7.816 + 2*t^7.84 + t^7.878 + t^7.885 + t^7.902 + t^7.984 - 2*t^8.008 + t^8.032 + t^8.045 + t^8.069 + t^8.107 + t^8.114 + t^8.131 + t^8.168 + t^8.274 + t^8.298 + 2*t^8.336 + t^8.36 + 2*t^8.397 + t^8.421 + t^8.458 - t^8.503 - 3*t^8.565 + 2*t^8.589 - 2*t^8.626 + 2*t^8.65 + t^8.687 + t^8.711 + t^8.748 - t^8.794 + t^8.818 - 2*t^8.855 + 2*t^8.879 - t^8.916 + t^8.94 + 2*t^8.977 - t^4.427/y - t^6.435/y - t^6.992/y - t^7.053/y + t^7.573/y + t^7.634/y + t^7.802/y + (2*t^7.863)/y + t^7.924/y + t^8.092/y + t^8.153/y + t^8.19/y + t^8.215/y + (2*t^8.419)/y - t^8.443/y + (2*t^8.481)/y + t^8.542/y + t^8.648/y + (2*t^8.71)/y + (3*t^8.771)/y + t^8.832/y + t^8.939/y - t^4.427*y - t^6.435*y - t^6.992*y - t^7.053*y + t^7.573*y + t^7.634*y + t^7.802*y + 2*t^7.863*y + t^7.924*y + t^8.092*y + t^8.153*y + t^8.19*y + t^8.215*y + 2*t^8.419*y - t^8.443*y + 2*t^8.481*y + t^8.542*y + t^8.648*y + 2*t^8.71*y + 3*t^8.771*y + t^8.832*y + t^8.939*y | g1^7*t^2.008 + t^2.565/g1^6 + t^2.626/(g1*g2) + t^2.855/g1^2 + (g1^3*t^2.916)/g2 + (g2*t^3.084)/g1^3 + g1^2*t^3.145 + (g1^7*t^3.206)/g2 + g1^14*t^4.016 + t^4.282/g1^3 + (g1^2*t^4.344)/g2 + (g2*t^4.511)/g1^4 + 2*g1*t^4.573 + (2*g1^6*t^4.634)/g2 + (g1^11*t^4.695)/g2^2 + g2*t^4.802 + 2*g1^5*t^4.863 + (g1^10*t^4.924)/g2 + (g2^2*t^5.031)/g1 + g1^4*g2*t^5.092 + t^5.129/g1^12 + g1^9*t^5.153 + t^5.19/(g1^7*g2) + (g1^14*t^5.215)/g2 + t^5.252/(g1^2*g2^2) + t^5.419/g1^8 + t^5.481/(g1^3*g2) + (g1^2*t^5.542)/g2^2 + (2*t^5.71)/g1^4 + (2*g1*t^5.771)/g2 + (g1^6*t^5.832)/g2^2 - 2*t^6. + g1^21*t^6.024 + (g1^5*t^6.061)/g2 + (g1^10*t^6.123)/g2^2 + g1^4*t^6.29 + (g1^9*t^6.352)/g2 + (g1^14*t^6.413)/g2^2 + 2*g1^8*t^6.581 + (2*g1^13*t^6.642)/g2 + (g1^18*t^6.703)/g2^2 + g1^7*g2*t^6.81 + t^6.847/g1^9 + 2*g1^12*t^6.871 + t^6.908/(g1^4*g2) + (g1^17*t^6.932)/g2 + (g1*t^6.969)/g2^2 + g1^6*g2^2*t^7.039 + g1^11*g2*t^7.1 + (2*t^7.137)/g1^5 + g1^16*t^7.161 + (3*t^7.198)/g2 + (g1^21*t^7.223)/g2 + (3*g1^5*t^7.26)/g2^2 + (g1^10*t^7.321)/g2^3 + (g2*t^7.366)/g1^6 + (2*t^7.427)/g1 + (3*g1^4*t^7.489)/g2 + (3*g1^9*t^7.55)/g2^2 + (g2^2*t^7.595)/g1^7 + (g1^14*t^7.611)/g2^3 + (g2*t^7.656)/g1^2 + t^7.694/g1^18 + 2*g1^3*t^7.718 + t^7.755/(g1^13*g2) + (3*g1^8*t^7.779)/g2 + t^7.816/(g1^8*g2^2) + (2*g1^13*t^7.84)/g2^2 + t^7.878/(g1^3*g2^3) + (g2^2*t^7.885)/g1^3 + (g1^18*t^7.902)/g2^3 + t^7.984/g1^14 - 2*g1^7*t^8.008 + g1^28*t^8.032 + t^8.045/(g1^9*g2) + (g1^12*t^8.069)/g2 + t^8.107/(g1^4*g2^2) + (g2^3*t^8.114)/g1^4 + (g1^17*t^8.131)/g2^2 + (g1*t^8.168)/g2^3 + t^8.274/g1^10 + g1^11*t^8.298 + (2*t^8.336)/(g1^5*g2) + (g1^16*t^8.36)/g2 + (2*t^8.397)/g2^2 + (g1^21*t^8.421)/g2^2 + (g1^5*t^8.458)/g2^3 - (g2*t^8.503)/g1^11 - (3*t^8.565)/g1^6 + 2*g1^15*t^8.589 - (2*t^8.626)/(g1*g2) + (2*g1^20*t^8.65)/g2 + (g1^4*t^8.687)/g2^2 + (g1^25*t^8.711)/g2^2 + (g1^9*t^8.748)/g2^3 - (g2*t^8.794)/g1^7 + g1^14*g2*t^8.818 - (2*t^8.855)/g1^2 + 2*g1^19*t^8.879 - (g1^3*t^8.916)/g2 + (g1^24*t^8.94)/g2 + (2*g1^8*t^8.977)/g2^2 - t^4.427/(g1*y) - (g1^6*t^6.435)/y - t^6.992/(g1^7*y) - t^7.053/(g1^2*g2*y) + (g1*t^7.573)/y + (g1^6*t^7.634)/(g2*y) + (g2*t^7.802)/y + (2*g1^5*t^7.863)/y + (g1^10*t^7.924)/(g2*y) + (g1^4*g2*t^8.092)/y + (g1^9*t^8.153)/y + t^8.19/(g1^7*g2*y) + (g1^14*t^8.215)/(g2*y) + (2*t^8.419)/(g1^8*y) - (g1^13*t^8.443)/y + (2*t^8.481)/(g1^3*g2*y) + (g1^2*t^8.542)/(g2^2*y) + (g2*t^8.648)/(g1^9*y) + (2*t^8.71)/(g1^4*y) + (3*g1*t^8.771)/(g2*y) + (g1^6*t^8.832)/(g2^2*y) + (g2*t^8.939)/(g1^5*y) - (t^4.427*y)/g1 - g1^6*t^6.435*y - (t^6.992*y)/g1^7 - (t^7.053*y)/(g1^2*g2) + g1*t^7.573*y + (g1^6*t^7.634*y)/g2 + g2*t^7.802*y + 2*g1^5*t^7.863*y + (g1^10*t^7.924*y)/g2 + g1^4*g2*t^8.092*y + g1^9*t^8.153*y + (t^8.19*y)/(g1^7*g2) + (g1^14*t^8.215*y)/g2 + (2*t^8.419*y)/g1^8 - g1^13*t^8.443*y + (2*t^8.481*y)/(g1^3*g2) + (g1^2*t^8.542*y)/g2^2 + (g2*t^8.648*y)/g1^9 + (2*t^8.71*y)/g1^4 + (3*g1*t^8.771*y)/g2 + (g1^6*t^8.832*y)/g2^2 + (g2*t^8.939*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55998 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6585 | 0.8203 | 0.8028 | [X:[1.3457], M:[1.14, 1.1029, 0.86, 0.6914, 0.6543, 0.86], q:[0.3457, 0.5143], qb:[0.5514, 0.7943], phi:[0.4486]] | t^2.074 + 2*t^2.58 + t^2.691 + t^3.197 + t^3.309 + t^3.42 + t^3.926 + 2*t^4.037 + t^4.149 + t^4.431 + t^4.543 + 2*t^4.654 + 2*t^4.766 + 2*t^5.16 + 3*t^5.271 + 2*t^5.383 + 2*t^5.777 + 2*t^5.889 - t^6. - t^4.346/y - t^4.346*y | detail | |
| 55999 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}X_{1}$ | 0.668 | 0.822 | 0.8126 | [X:[1.3333], M:[1.0197, 1.1111, 0.9803, 0.6667, 0.7581, 0.8889], q:[0.3333, 0.647], qb:[0.5556, 0.6864], phi:[0.4444]] | t^2.274 + 2*t^2.667 + t^2.941 + t^3.059 + t^3.333 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + 2*t^4.941 + 2*t^5.215 + 4*t^5.333 + t^5.452 + 2*t^5.608 + t^5.726 + t^5.882 - t^6. - t^4.333/y - t^4.333*y | detail | |
| 54585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0277, 1.0526, 0.9723, 0.8422, 0.867, 0.6841, 0.9474], q:[0.4211, 0.5512], qb:[0.5263, 0.6066], phi:[0.4737]] | t^2.052 + t^2.527 + t^2.601 + 2*t^2.842 + t^2.917 + t^3.083 + t^3.232 + t^4.105 + t^4.263 + t^4.338 + t^4.504 + 2*t^4.579 + 2*t^4.654 + t^4.728 + t^4.82 + 3*t^4.895 + t^4.969 + t^5.053 + t^5.061 + t^5.128 + t^5.136 + t^5.202 + t^5.285 + 2*t^5.369 + 2*t^5.443 + t^5.518 + 3*t^5.684 + 2*t^5.759 + t^5.834 + t^5.925 - 3*t^6. - t^4.421/y - t^4.421*y | detail | |
| 56000 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7115 | 0.8866 | 0.8025 | [M:[0.9742, 1.0862, 1.0258, 0.7414, 0.8534, 0.8017], q:[0.3707, 0.6552], qb:[0.5431, 0.6035], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail | |
| 54506 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0, 1.0564, 1.0, 0.8307, 0.8871, 0.6975, 0.8871], q:[0.4153, 0.5847], qb:[0.5282, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |