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 |
|---|---|---|---|---|---|---|---|---|---|
| 638 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6432 | 0.8175 | 0.7868 | [M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1 | t^2.135 + t^2.365 + t^2.453 + t^2.682 + t^3. + t^3.318 + t^3.547 + 2*t^3.635 + t^3.953 + t^4.095 + t^4.182 + 2*t^4.27 + t^4.5 + t^4.588 + t^4.73 + 2*t^4.818 + t^4.905 + t^5.047 + 2*t^5.135 + 2*t^5.365 + 2*t^5.453 + 2*t^5.682 + 2*t^5.77 + t^6. + 2*t^6.088 + t^6.23 + 2*t^6.318 + 3*t^6.405 + t^6.459 + t^6.547 + 4*t^6.635 + 2*t^6.723 + t^6.777 + t^6.865 + 4*t^6.953 + t^7.041 + 2*t^7.095 + t^7.182 + 5*t^7.27 + t^7.358 + t^7.5 + 4*t^7.588 + t^7.642 + 2*t^7.73 + 3*t^7.818 + 5*t^7.905 + t^8.047 + t^8.189 + 3*t^8.223 + t^8.277 + 2*t^8.365 + 2*t^8.453 + 5*t^8.541 - t^8.682 + 3*t^8.77 + t^8.824 + 3*t^8.858 + t^8.912 - t^4.5/y - t^6.635/y + t^7.5/y + t^7.588/y + (2*t^7.818)/y + t^8.047/y + (2*t^8.135)/y + (2*t^8.365)/y + (2*t^8.453)/y + (3*t^8.682)/y + (2*t^8.77)/y + t^8.912/y - t^4.5*y - t^6.635*y + t^7.5*y + t^7.588*y + 2*t^7.818*y + t^8.047*y + 2*t^8.135*y + 2*t^8.365*y + 2*t^8.453*y + 3*t^8.682*y + 2*t^8.77*y + t^8.912*y | g1^2*t^2.135 + t^2.365/g1^2 + g1^3*t^2.453 + t^2.682/g1 + t^3. + g1*t^3.318 + t^3.547/g1^3 + 2*g1^2*t^3.635 + g1^3*t^3.953 + t^4.095/g1^6 + t^4.182/g1 + 2*g1^4*t^4.27 + t^4.5 + g1^5*t^4.588 + t^4.73/g1^4 + 2*g1*t^4.818 + g1^6*t^4.905 + t^5.047/g1^3 + 2*g1^2*t^5.135 + (2*t^5.365)/g1^2 + 2*g1^3*t^5.453 + (2*t^5.682)/g1 + 2*g1^4*t^5.77 + t^6. + 2*g1^5*t^6.088 + t^6.23/g1^4 + 2*g1*t^6.318 + 3*g1^6*t^6.405 + t^6.459/g1^8 + t^6.547/g1^3 + 4*g1^2*t^6.635 + 2*g1^7*t^6.723 + t^6.777/g1^7 + t^6.865/g1^2 + 4*g1^3*t^6.953 + g1^8*t^7.041 + (2*t^7.095)/g1^6 + t^7.182/g1 + 5*g1^4*t^7.27 + g1^9*t^7.358 + t^7.5 + 4*g1^5*t^7.588 + t^7.642/g1^9 + (2*t^7.73)/g1^4 + 3*g1*t^7.818 + 5*g1^6*t^7.905 + t^8.047/g1^3 + t^8.189/g1^12 + 3*g1^7*t^8.223 + t^8.277/g1^7 + (2*t^8.365)/g1^2 + 2*g1^3*t^8.453 + 5*g1^8*t^8.541 - t^8.682/g1 + 3*g1^4*t^8.77 + t^8.824/g1^10 + 3*g1^9*t^8.858 + t^8.912/g1^5 - t^4.5/y - (g1^2*t^6.635)/y + t^7.5/y + (g1^5*t^7.588)/y + (2*g1*t^7.818)/y + t^8.047/(g1^3*y) + (2*g1^2*t^8.135)/y + (2*t^8.365)/(g1^2*y) + (2*g1^3*t^8.453)/y + (3*t^8.682)/(g1*y) + (2*g1^4*t^8.77)/y + t^8.912/(g1^5*y) - t^4.5*y - g1^2*t^6.635*y + t^7.5*y + g1^5*t^7.588*y + 2*g1*t^7.818*y + (t^8.047*y)/g1^3 + 2*g1^2*t^8.135*y + (2*t^8.365*y)/g1^2 + 2*g1^3*t^8.453*y + (3*t^8.682*y)/g1 + 2*g1^4*t^8.77*y + (t^8.912*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 |
|---|---|---|---|---|---|---|---|---|
| 1015 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.664 | 0.8582 | 0.7737 | [M:[1.2133, 1.1066, 0.7867, 0.8934, 0.7133, 0.6801], q:[0.75, 0.4301], qb:[0.3566, 0.4633], phi:[0.5]] | t^2.04 + t^2.14 + t^2.36 + t^2.46 + t^2.68 + t^3. + t^3.32 + t^3.54 + 2*t^3.64 + 2*t^4.081 + 2*t^4.18 + 2*t^4.28 + t^4.401 + 2*t^4.5 + t^4.599 + 2*t^4.72 + 2*t^4.82 + t^4.919 + 2*t^5.04 + 2*t^5.14 + 3*t^5.36 + 2*t^5.46 + t^5.581 + 4*t^5.68 + 2*t^5.78 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 1964 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6593 | 0.8469 | 0.7784 | [M:[1.1992, 1.0996, 0.8008, 0.9004, 0.6992, 0.7987], q:[0.75, 0.4513], qb:[0.3496, 0.4492], phi:[0.5]] | t^2.097 + 2*t^2.396 + t^2.403 + t^2.701 + t^3. + t^3.299 + 2*t^3.597 + t^3.896 + 2*t^4.195 + t^4.201 + t^4.208 + 2*t^4.494 + t^4.5 + 3*t^4.792 + 3*t^4.799 + t^4.805 + 3*t^5.097 + t^5.104 + 3*t^5.396 + 2*t^5.403 + 3*t^5.695 + t^5.701 + 4*t^5.994 - t^4.5/y - t^4.5*y | detail | |
| 1965 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.653 | 0.8337 | 0.7832 | [M:[1.2176, 1.1088, 0.7824, 0.8912, 0.7176, 0.8912], q:[0.75, 0.4237], qb:[0.3588, 0.4676], phi:[0.5]] | t^2.153 + t^2.347 + t^2.479 + 2*t^2.674 + t^3. + t^3.521 + 2*t^3.653 + t^3.979 + t^4.042 + t^4.174 + 2*t^4.305 + t^4.5 + t^4.632 + t^4.695 + 3*t^4.826 + t^4.958 + 2*t^5.021 + 3*t^5.153 + 4*t^5.347 + t^5.479 + 2*t^5.674 + t^5.805 - t^4.5/y - t^4.5*y | detail | |
| 1016 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6286 | 0.7919 | 0.7937 | [M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7268, 1.1599], q:[0.75, 0.4099], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.18 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.959 + t^4.02 + t^4.16 + 2*t^4.361 + t^4.5 + t^4.639 + t^4.84 + t^4.98 + t^5.18 + 2*t^5.32 + t^5.52 + 3*t^5.66 + t^5.799 + t^5.861 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 395 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.623 | 0.7792 | 0.7995 | [M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | t^2.354 + t^2.469 + t^2.677 + t^3. + t^3.323 + t^3.531 + 2*t^3.646 + t^3.854 + t^3.969 + t^4.063 + t^4.177 + t^4.292 + t^4.708 + t^4.823 + t^4.937 + t^5.031 + t^5.146 + 2*t^5.354 + t^5.469 + t^5.677 + t^6. - t^4.5/y - t^4.5*y | detail |