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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | [M:[[-4, 0, 4], [4, -4, 4], [4, 0, -4], [-8, 0, -8]], q:[[-4, 0, -4], [8, 0, 0]], qb:[[0, 4, 0], [0, 0, 8]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -3 | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. + 2*t^6.271 + 2*t^6.542 + t^6.845 + t^6.867 + 3*t^7.084 + 2*t^7.093 + 2*t^7.116 + 3*t^7.32 + 3*t^7.342 + 2*t^7.364 + t^7.409 + 4*t^7.613 + 2*t^7.658 - 3*t^7.884 + 3*t^7.907 + t^7.951 + t^8.119 + t^8.142 + 4*t^8.155 + 2*t^8.164 - 2*t^8.178 + t^8.187 + 2*t^8.2 + t^8.209 + 2*t^8.232 + t^8.254 + 3*t^8.449 - t^8.471 + 2*t^8.48 - 5*t^8.706 + 2*t^8.742 - 4*t^8.751 + t^8.774 + 4*t^8.978 - t^4.364/y - t^7.071/y - t^7.093/y - t^7.116/y + t^7.613/y + t^7.636/y + t^7.658/y + t^8.435/y + t^8.458/y + t^8.48/y + (2*t^8.706)/y + (2*t^8.729)/y + (2*t^8.751)/y - t^4.364*y - t^7.071*y - t^7.093*y - t^7.116*y + t^7.613*y + t^7.636*y + t^7.658*y + t^8.435*y + t^8.458*y + t^8.48*y + 2*t^8.706*y + 2*t^8.729*y + 2*t^8.751*y | (g1^4*g3^4*t^2.706)/g2^4 + t^2.729/(g1^2*g2^2*g3^2) + t^2.751/(g1^8*g3^8) + (g1^4*t^3.)/g3^4 + (g3^4*t^3.)/g1^4 + g1^8*g2^4*t^3.542 + g2^4*g3^8*t^3.542 + t^4.116/(g1^9*g2*g3^9) + (g1^3*t^4.364)/(g2*g3^5) + (g3^3*t^4.364)/(g1^5*g2) + (g1^15*t^4.613)/(g2*g3) + (g1^7*g3^7*t^4.613)/g2 + (g3^15*t^4.613)/(g1*g2) + (g2^3*t^4.658)/(g1^5*g3^5) + (g1^7*g2^3*t^4.907)/g3 + (g2^3*g3^7*t^4.907)/g1 + (g2^7*t^5.2)/(g1*g3) + (g1^8*g3^8*t^5.413)/g2^8 + (g1^2*g3^2*t^5.435)/g2^6 + t^5.458/(g1^4*g2^4*g3^4) + t^5.48/(g1^10*g2^2*g3^10) + t^5.503/(g1^16*g3^16) + (g1^2*t^5.729)/(g2^2*g3^6) + (g3^2*t^5.729)/(g1^6*g2^2) - 3*t^6. + (g1^6*g2^2*t^6.271)/g3^2 + (g2^2*g3^6*t^6.271)/g1^2 + (g1^12*g2^4*t^6.542)/g3^4 + (g2^4*g3^12*t^6.542)/g1^4 + t^6.845/(g1^11*g2^3*g3^11) + t^6.867/(g1^17*g2*g3^17) + g1^16*g2^8*t^7.084 + g1^8*g2^8*g3^8*t^7.084 + g2^8*g3^16*t^7.084 + (g1*t^7.093)/(g2^3*g3^7) + (g3*t^7.093)/(g1^7*g2^3) + t^7.116/(g1^5*g2*g3^13) + t^7.116/(g1^13*g2*g3^5) + (g1^19*g3^3*t^7.32)/g2^5 + (g1^11*g3^11*t^7.32)/g2^5 + (g1^3*g3^19*t^7.32)/g2^5 + (g1^13*t^7.342)/(g2^3*g3^3) + (g1^5*g3^5*t^7.342)/g2^3 + (g3^13*t^7.342)/(g1^3*g2^3) + (g1^7*t^7.364)/(g2*g3^9) + (g3^7*t^7.364)/(g1^9*g2) + (g2^3*t^7.409)/(g1^13*g3^13) + (g1^19*t^7.613)/(g2*g3^5) + (g1^11*g3^3*t^7.613)/g2 + (g1^3*g3^11*t^7.613)/g2 + (g3^19*t^7.613)/(g1^5*g2) + (g2^3*t^7.658)/(g1*g3^9) + (g2^3*t^7.658)/(g1^9*g3) - g1^17*g2*g3*t^7.884 - g1^9*g2*g3^9*t^7.884 - g1*g2*g3^17*t^7.884 + (g1^11*g2^3*t^7.907)/g3^5 + g1^3*g2^3*g3^3*t^7.907 + (g2^3*g3^11*t^7.907)/g1^5 + (g2^7*t^7.951)/(g1^9*g3^9) + (g1^12*g3^12*t^8.119)/g2^12 + (g1^6*g3^6*t^8.142)/g2^10 + (g1^23*g2^3*t^8.155)/g3 + g1^15*g2^3*g3^7*t^8.155 + g1^7*g2^3*g3^15*t^8.155 + (g2^3*g3^23*t^8.155)/g1 + (2*t^8.164)/g2^8 - g1^9*g2^5*g3*t^8.178 - g1*g2^5*g3^9*t^8.178 + t^8.187/(g1^6*g2^6*g3^6) + (g1^3*g2^7*t^8.2)/g3^5 + (g2^7*g3^3*t^8.2)/g1^5 + t^8.209/(g1^12*g2^4*g3^12) + (2*t^8.232)/(g1^18*g2^2*g3^18) + t^8.254/(g1^24*g3^24) + (g1^15*g2^7*t^8.449)/g3 + g1^7*g2^7*g3^7*t^8.449 + (g2^7*g3^15*t^8.449)/g1 - g1*g2^9*g3*t^8.471 + t^8.48/(g1^6*g2^2*g3^14) + t^8.48/(g1^14*g2^2*g3^6) - (g1^12*t^8.706)/(g2^4*g3^4) - (3*g1^4*g3^4*t^8.706)/g2^4 - (g3^12*t^8.706)/(g1^4*g2^4) + (g1^6*t^8.729)/(g2^2*g3^10) - (2*t^8.729)/(g1^2*g2^2*g3^2) + (g3^6*t^8.729)/(g1^10*g2^2) + (g1^7*g2^11*t^8.742)/g3 + (g2^11*g3^7*t^8.742)/g1 - (4*t^8.751)/(g1^8*g3^8) + (g2^2*t^8.774)/(g1^14*g3^14) + (g1^18*t^8.978)/(g2^2*g3^6) + (g1^10*g3^2*t^8.978)/g2^2 + (g1^2*g3^10*t^8.978)/g2^2 + (g3^18*t^8.978)/(g1^6*g2^2) - t^4.364/(g1*g2*g3*y) - (g1^3*g3^3*t^7.071)/(g2^5*y) - t^7.093/(g1^3*g2^3*g3^3*y) - t^7.116/(g1^9*g2*g3^9*y) + (g1^7*g3^7*t^7.613)/(g2*y) + (g1*g2*g3*t^7.636)/y + (g2^3*t^7.658)/(g1^5*g3^5*y) + (g1^2*g3^2*t^8.435)/(g2^6*y) + t^8.458/(g1^4*g2^4*g3^4*y) + t^8.48/(g1^10*g2^2*g3^10*y) + (g1^8*t^8.706)/(g2^4*y) + (g3^8*t^8.706)/(g2^4*y) + (g1^2*t^8.729)/(g2^2*g3^6*y) + (g3^2*t^8.729)/(g1^6*g2^2*y) + t^8.751/(g1^4*g3^12*y) + t^8.751/(g1^12*g3^4*y) - (t^4.364*y)/(g1*g2*g3) - (g1^3*g3^3*t^7.071*y)/g2^5 - (t^7.093*y)/(g1^3*g2^3*g3^3) - (t^7.116*y)/(g1^9*g2*g3^9) + (g1^7*g3^7*t^7.613*y)/g2 + g1*g2*g3*t^7.636*y + (g2^3*t^7.658*y)/(g1^5*g3^5) + (g1^2*g3^2*t^8.435*y)/g2^6 + (t^8.458*y)/(g1^4*g2^4*g3^4) + (t^8.48*y)/(g1^10*g2^2*g3^10) + (g1^8*t^8.706*y)/g2^4 + (g3^8*t^8.706*y)/g2^4 + (g1^2*t^8.729*y)/(g2^2*g3^6) + (g3^2*t^8.729*y)/(g1^6*g2^2) + (t^8.751*y)/(g1^4*g3^12) + (t^8.751*y)/(g1^12*g3^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46198 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7004 | 0.8555 | 0.8187 | [M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | t^2.669 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.221 + t^4.113 + t^4.334 + 2*t^4.445 + t^4.555 + 2*t^4.666 + 3*t^4.776 + t^5.337 + t^5.558 + t^5.779 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail | |
| 46314 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.7067 | 0.861 | 0.8208 | [M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.621 + t^2.811 + 3*t^3. + 2*t^3.379 + t^4.027 + 3*t^4.405 + 6*t^4.784 + t^5.243 + t^5.432 + t^5.621 + 3*t^5.811 - 2*t^6. - t^4.405/y - t^4.405*y | detail | |
| 46268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7046 | 0.8591 | 0.8202 | [M:[0.9439, 0.9439, 1.0561, 0.9439], q:[0.472, 0.5841], qb:[0.5841, 0.472], phi:[0.472]] | 4*t^2.832 + 2*t^3.168 + t^3.505 + 3*t^4.248 + 4*t^4.584 + 3*t^4.921 + 6*t^5.664 - t^4.416/y - t^4.416*y | detail | |
| 46236 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7008 | 0.8558 | 0.8188 | [M:[1.0, 0.8827, 1.0, 1.0391], q:[0.5195, 0.4805], qb:[0.5977, 0.4805], phi:[0.4805]] | t^2.648 + t^2.883 + 2*t^3. + t^3.117 + 2*t^3.235 + 3*t^4.324 + 2*t^4.441 + t^4.559 + 2*t^4.676 + t^4.793 + t^5.028 + t^5.296 + t^5.531 + t^5.765 + 2*t^5.883 - 2*t^6. - t^4.441/y - t^4.441*y | detail | |
| 46140 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ | 0.7077 | 0.8618 | 0.8212 | [M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | t^2.584 + t^2.792 + 3*t^3. + 2*t^3.416 + 6*t^4.396 + 3*t^4.812 + t^5.169 + t^5.227 + t^5.377 + t^5.584 + 3*t^5.792 - 2*t^6. - t^4.396/y - t^4.396*y | detail | |
| 46244 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7051 | 0.8546 | 0.8251 | [M:[1.0, 0.9226, 1.0, 0.9324, 1.0725], q:[0.4662, 0.5338], qb:[0.6112, 0.5338], phi:[0.4638]] | t^2.768 + t^2.797 + 2*t^3. + t^3.217 + 2*t^3.435 + t^4.189 + 2*t^4.391 + 3*t^4.594 + t^4.623 + 2*t^4.826 + t^5.058 + t^5.536 + t^5.594 + t^5.985 - 3*t^6. - t^4.391/y - t^4.391*y | detail | |
| 46128 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
| 46225 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail | |
| 46145 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.7479, 1.0, 0.9217], q:[0.4608, 0.5392], qb:[0.7913, 0.5392], phi:[0.4174]] | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. - t^4.252/y - t^4.252*y | detail | |
| 46292 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. - t^4.338/y - t^4.338*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45897 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.7737 | 0.9544 | 0.8107 | [M:[0.7498, 0.7801, 0.7498, 0.7817], q:[0.641, 0.6091], qb:[0.5788, 0.6091], phi:[0.3905]] | 2*t^2.249 + t^2.34 + t^2.343 + t^2.345 + 2*t^3.564 + 3*t^4.499 + 2*t^4.59 + 2*t^4.592 + 2*t^4.595 + t^4.644 + t^4.681 + t^4.683 + 2*t^4.686 + t^4.688 + t^4.69 + 2*t^4.735 + 3*t^4.826 + t^4.831 + 2*t^4.922 + t^5.018 + 3*t^5.813 + 2*t^5.907 - 6*t^6. - t^4.171/y - t^4.171*y | detail |