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 |
|---|---|---|---|---|---|---|---|---|---|
| 4802 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6593 | 0.8223 | 0.8018 | [X:[1.3446], M:[1.1485, 0.6891, 0.9525, 0.8851, 1.1149, 0.6554, 0.8515, 1.0475], q:[0.5069, 0.3446], qb:[0.5406, 0.7703], phi:[0.4594]] | [X:[[3]], M:[[10], [6], [17], [-1], [1], [-3], [-10], [-17]], q:[[-13], [3]], qb:[[-4], [-2]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{8}\phi_{1}^{2}$ | ${}M_{2}\phi_{1}q_{1}q_{2}$ | 0 | t^2.067 + t^2.554 + t^2.655 + t^2.756 + t^3.143 + t^3.345 + t^3.446 + t^3.832 + t^3.933 + t^4.034 + t^4.135 + t^4.42 + t^4.521 + 2*t^4.622 + t^4.723 + t^4.824 + t^5.109 + 2*t^5.21 + 2*t^5.311 + t^5.412 + t^5.513 + t^5.697 + t^5.798 + 2*t^5.899 + t^6.101 + 2*t^6.202 + t^6.285 + t^6.386 + 2*t^6.487 + 2*t^6.588 + 2*t^6.689 + t^6.79 + t^6.891 + 2*t^6.974 + 2*t^7.075 + 4*t^7.176 + 2*t^7.277 + 2*t^7.378 + t^7.479 + t^7.563 + t^7.58 + 2*t^7.663 + 3*t^7.764 + 2*t^7.865 + 2*t^7.966 + t^8.067 + 2*t^8.252 + 2*t^8.269 + 3*t^8.353 + 3*t^8.454 + 2*t^8.84 + 3*t^8.941 + 2*t^8.958 - t^4.378/y - t^6.446/y - t^7.135/y + (2*t^7.622)/y + t^7.723/y + t^7.824/y + (2*t^8.21)/y + (2*t^8.311)/y + (2*t^8.412)/y + t^8.697/y + t^8.798/y + (3*t^8.899)/y - t^4.378*y - t^6.446*y - t^7.135*y + 2*t^7.622*y + t^7.723*y + t^7.824*y + 2*t^8.21*y + 2*t^8.311*y + 2*t^8.412*y + t^8.697*y + t^8.798*y + 3*t^8.899*y | g1^6*t^2.067 + t^2.554/g1^10 + t^2.655/g1 + g1^8*t^2.756 + t^3.143/g1^17 + g1*t^3.345 + g1^10*t^3.446 + t^3.832/g1^15 + t^3.933/g1^6 + g1^3*t^4.034 + g1^12*t^4.135 + t^4.42/g1^22 + t^4.521/g1^13 + (2*t^4.622)/g1^4 + g1^5*t^4.723 + g1^14*t^4.824 + t^5.109/g1^20 + (2*t^5.21)/g1^11 + (2*t^5.311)/g1^2 + g1^7*t^5.412 + g1^16*t^5.513 + t^5.697/g1^27 + t^5.798/g1^18 + (2*t^5.899)/g1^9 + g1^9*t^6.101 + 2*g1^18*t^6.202 + t^6.285/g1^34 + t^6.386/g1^25 + (2*t^6.487)/g1^16 + (2*t^6.588)/g1^7 + 2*g1^2*t^6.689 + g1^11*t^6.79 + g1^20*t^6.891 + (2*t^6.974)/g1^32 + (2*t^7.075)/g1^23 + (4*t^7.176)/g1^14 + (2*t^7.277)/g1^5 + 2*g1^4*t^7.378 + g1^13*t^7.479 + t^7.563/g1^39 + g1^22*t^7.58 + (2*t^7.663)/g1^30 + (3*t^7.764)/g1^21 + (2*t^7.865)/g1^12 + (2*t^7.966)/g1^3 + g1^6*t^8.067 + (2*t^8.252)/g1^37 + 2*g1^24*t^8.269 + (3*t^8.353)/g1^28 + (3*t^8.454)/g1^19 + (2*t^8.84)/g1^44 + (3*t^8.941)/g1^35 + 2*g1^26*t^8.958 - (g1^4*t^4.378)/y - (g1^10*t^6.446)/y - (g1^12*t^7.135)/y + (2*t^7.622)/(g1^4*y) + (g1^5*t^7.723)/y + (g1^14*t^7.824)/y + (2*t^8.21)/(g1^11*y) + (2*t^8.311)/(g1^2*y) + (2*g1^7*t^8.412)/y + t^8.697/(g1^27*y) + t^8.798/(g1^18*y) + (3*t^8.899)/(g1^9*y) - g1^4*t^4.378*y - g1^10*t^6.446*y - g1^12*t^7.135*y + (2*t^7.622*y)/g1^4 + g1^5*t^7.723*y + g1^14*t^7.824*y + (2*t^8.21*y)/g1^11 + (2*t^8.311*y)/g1^2 + 2*g1^7*t^8.412*y + (t^8.697*y)/g1^27 + (t^8.798*y)/g1^18 + (3*t^8.899*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6421 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{9}$ | 0.673 | 0.8479 | 0.7937 | [X:[1.3499], M:[1.1662, 0.6997, 0.9826, 0.8834, 1.1166, 0.6501, 0.8338, 1.0174, 0.8338], q:[0.4839, 0.3499], qb:[0.5335, 0.7668], phi:[0.4665]] | t^2.099 + 2*t^2.501 + t^2.65 + t^2.799 + t^3.052 + t^3.35 + t^3.752 + t^3.901 + t^4.05 + t^4.198 + t^4.303 + t^4.452 + 3*t^4.601 + t^4.749 + t^4.898 + 3*t^5.003 + 3*t^5.152 + 3*t^5.3 + t^5.449 + 2*t^5.554 + t^5.702 + 3*t^5.851 - t^6. - t^4.399/y - t^4.399*y | detail | |
| 6418 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{9}$ | 0.6386 | 0.7824 | 0.8162 | [X:[1.3451], M:[1.1505, 0.6903, 0.9558, 0.885, 1.115, 0.6549, 0.8495, 1.0442, 1.3097], q:[0.5044, 0.3451], qb:[0.5398, 0.7699], phi:[0.4602]] | t^2.549 + t^2.655 + t^2.761 + t^3.133 + t^3.345 + t^3.451 + t^3.823 + 2*t^3.929 + t^4.035 + t^4.407 + t^4.513 + t^4.619 + t^5.097 + t^5.203 + 2*t^5.31 + t^5.681 + t^5.788 + t^5.894 - t^6. - t^4.381/y - t^4.381*y | detail | |
| 6419 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}M_{9}$ | 0.649 | 0.8046 | 0.8066 | [X:[1.3439], M:[1.1464, 0.6878, 0.9489, 0.8854, 1.1146, 0.6561, 0.8536, 1.0511, 1.1146], q:[0.5097, 0.3439], qb:[0.5414, 0.7707], phi:[0.4586]] | t^2.064 + t^2.561 + t^2.751 + t^3.153 + 2*t^3.344 + t^3.439 + t^3.841 + t^3.936 + t^4.032 + t^4.127 + t^4.434 + t^4.529 + 2*t^4.624 + t^4.815 + t^5.122 + t^5.217 + t^5.312 + t^5.407 + t^5.503 + t^5.714 + 3*t^5.905 - t^6. - t^4.376/y - t^4.376*y | detail | |
| 6420 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{5}M_{9}$ | 0.6697 | 0.84 | 0.7972 | [X:[1.3452], M:[1.1506, 0.6904, 0.956, 0.8849, 1.1151, 0.6548, 0.8494, 1.044, 0.8849], q:[0.5042, 0.3452], qb:[0.5398, 0.7699], phi:[0.4602]] | t^2.071 + t^2.548 + 2*t^2.655 + t^2.761 + t^3.132 + t^3.452 + t^3.822 + t^3.929 + t^4.036 + t^4.142 + t^4.406 + t^4.513 + 2*t^4.619 + 2*t^4.726 + t^4.833 + t^5.096 + 3*t^5.203 + 4*t^5.31 + t^5.416 + t^5.523 + t^5.68 + 2*t^5.787 + t^5.893 - t^6. - t^4.381/y - t^4.381*y | detail | |
| 6423 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.68 | 0.8624 | 0.7886 | [X:[1.344], M:[1.1467, 0.688, 0.9494, 0.8853, 1.1147, 0.656, 0.8533, 1.0506, 0.688], q:[0.5093, 0.344], qb:[0.5413, 0.7707], phi:[0.4587]] | 2*t^2.064 + t^2.56 + t^2.656 + t^2.752 + t^3.152 + t^3.344 + t^3.44 + t^3.84 + t^4.032 + 3*t^4.128 + t^4.432 + t^4.528 + 3*t^4.624 + 2*t^4.72 + 2*t^4.816 + t^5.12 + 3*t^5.216 + 2*t^5.312 + 2*t^5.408 + 2*t^5.504 + t^5.712 + t^5.808 + 3*t^5.904 - t^6. - t^4.376/y - t^4.376*y | detail | |
| 6422 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6795 | 0.8599 | 0.7902 | [X:[1.3419], M:[1.1398, 0.6839, 0.9376, 0.886, 1.114, 0.6581, 0.8602, 1.0624, 0.7097], q:[0.5183, 0.3419], qb:[0.5441, 0.772], phi:[0.4559]] | t^2.052 + t^2.129 + t^2.581 + t^2.658 + t^2.735 + t^3.187 + t^3.342 + t^3.419 + t^3.948 + t^4.026 + t^4.103 + t^4.181 + t^4.258 + t^4.477 + t^4.555 + 2*t^4.632 + 2*t^4.71 + 2*t^4.787 + t^4.864 + t^5.161 + 2*t^5.239 + 3*t^5.316 + t^5.394 + 2*t^5.471 + t^5.548 + t^5.768 + t^5.845 + t^5.923 - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2647 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6995 | 0.8854 | 0.79 | [M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]] | t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. - t^4.356/y - t^4.356*y | detail |