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 |
|---|---|---|---|---|---|---|---|---|---|
| 2626 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.681 | 0.8482 | 0.8029 | [M:[1.0242, 0.7751, 0.9619, 0.8374, 1.1626, 0.9758, 0.8374], q:[0.5882, 0.3875], qb:[0.4498, 0.7751], phi:[0.4498]] | [M:[[-18], [2], [-13], [-3], [3], [18], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{6}^{2}$ | ${}$ | -2 | t^2.325 + 2*t^2.512 + t^2.699 + t^2.886 + t^2.927 + t^3.675 + t^3.862 + t^4.048 + t^4.09 + t^4.277 + t^4.464 + t^4.651 + 2*t^4.837 + t^4.879 + 4*t^5.024 + 3*t^5.211 + t^5.253 + 2*t^5.398 + 2*t^5.439 + t^5.626 + t^5.772 + t^5.855 - 2*t^6. + t^6.187 + 3*t^6.374 + 3*t^6.561 + 2*t^6.602 + t^6.747 + 3*t^6.789 + 3*t^6.976 + t^7.017 + t^7.163 + 2*t^7.204 + 2*t^7.349 + 2*t^7.391 + 6*t^7.536 + t^7.578 + 6*t^7.723 + t^7.765 + t^7.806 + 4*t^7.91 + 3*t^7.952 + 2*t^8.097 + 2*t^8.138 + t^8.18 + t^8.284 - 2*t^8.325 + 2*t^8.367 + t^8.471 - 5*t^8.512 + 2*t^8.554 + t^8.657 - t^8.699 + t^8.782 + 2*t^8.886 - 2*t^8.927 + t^8.969 - t^4.349/y - t^6.675/y - t^6.862/y - t^7.048/y - t^7.235/y + t^7.464/y + t^7.651/y + (3*t^7.837)/y + (3*t^8.024)/y + (3*t^8.211)/y + t^8.253/y + (2*t^8.398)/y + (2*t^8.439)/y + t^8.585/y + t^8.626/y + t^8.813/y - t^4.349*y - t^6.675*y - t^6.862*y - t^7.048*y - t^7.235*y + t^7.464*y + t^7.651*y + 3*t^7.837*y + 3*t^8.024*y + 3*t^8.211*y + t^8.253*y + 2*t^8.398*y + 2*t^8.439*y + t^8.585*y + t^8.626*y + t^8.813*y | g1^2*t^2.325 + (2*t^2.512)/g1^3 + t^2.699/g1^8 + t^2.886/g1^13 + g1^18*t^2.927 + t^3.675/g1^2 + t^3.862/g1^7 + t^4.048/g1^12 + g1^19*t^4.09 + g1^14*t^4.277 + g1^9*t^4.464 + g1^4*t^4.651 + (2*t^4.837)/g1 + g1^30*t^4.879 + (4*t^5.024)/g1^6 + (3*t^5.211)/g1^11 + g1^20*t^5.253 + (2*t^5.398)/g1^16 + 2*g1^15*t^5.439 + g1^10*t^5.626 + t^5.772/g1^26 + g1^36*t^5.855 - 2*t^6. + t^6.187/g1^5 + (3*t^6.374)/g1^10 + (3*t^6.561)/g1^15 + 2*g1^16*t^6.602 + t^6.747/g1^20 + 3*g1^11*t^6.789 + 3*g1^6*t^6.976 + g1^37*t^7.017 + g1*t^7.163 + 2*g1^32*t^7.204 + (2*t^7.349)/g1^4 + 2*g1^27*t^7.391 + (6*t^7.536)/g1^9 + g1^22*t^7.578 + (6*t^7.723)/g1^14 + g1^17*t^7.765 + g1^48*t^7.806 + (4*t^7.91)/g1^19 + 3*g1^12*t^7.952 + (2*t^8.097)/g1^24 + 2*g1^7*t^8.138 + g1^38*t^8.18 + t^8.284/g1^29 - 2*g1^2*t^8.325 + 2*g1^33*t^8.367 + t^8.471/g1^34 - (5*t^8.512)/g1^3 + 2*g1^28*t^8.554 + t^8.657/g1^39 - t^8.699/g1^8 + g1^54*t^8.782 + (2*t^8.886)/g1^13 - 2*g1^18*t^8.927 + g1^49*t^8.969 - t^4.349/(g1^4*y) - t^6.675/(g1^2*y) - t^6.862/(g1^7*y) - t^7.048/(g1^12*y) - t^7.235/(g1^17*y) + (g1^9*t^7.464)/y + (g1^4*t^7.651)/y + (3*t^7.837)/(g1*y) + (3*t^8.024)/(g1^6*y) + (3*t^8.211)/(g1^11*y) + (g1^20*t^8.253)/y + (2*t^8.398)/(g1^16*y) + (2*g1^15*t^8.439)/y + t^8.585/(g1^21*y) + (g1^10*t^8.626)/y + (g1^5*t^8.813)/y - (t^4.349*y)/g1^4 - (t^6.675*y)/g1^2 - (t^6.862*y)/g1^7 - (t^7.048*y)/g1^12 - (t^7.235*y)/g1^17 + g1^9*t^7.464*y + g1^4*t^7.651*y + (3*t^7.837*y)/g1 + (3*t^8.024*y)/g1^6 + (3*t^8.211*y)/g1^11 + g1^20*t^8.253*y + (2*t^8.398*y)/g1^16 + 2*g1^15*t^8.439*y + (t^8.585*y)/g1^21 + g1^10*t^8.626*y + g1^5*t^8.813*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4714 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6631 | 0.8162 | 0.8125 | [M:[1.0205, 0.7755, 0.9592, 0.8367, 1.1633, 0.9795, 0.8367, 1.2245], q:[0.5918, 0.3878], qb:[0.449, 0.7755], phi:[0.449]] | 2*t^2.51 + t^2.694 + t^2.878 + t^2.939 + 2*t^3.673 + t^3.857 + t^4.041 + t^4.102 + t^4.286 + t^4.469 + t^4.898 + 3*t^5.02 + 2*t^5.204 + 2*t^5.388 + 2*t^5.449 + t^5.633 + t^5.755 + t^5.877 - 3*t^6. - t^4.347/y - t^4.347*y | detail | |
| 4718 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7013 | 0.8867 | 0.7909 | [M:[1.0301, 0.7744, 0.9662, 0.8383, 1.1617, 0.9699, 0.8383, 0.7105], q:[0.5827, 0.3872], qb:[0.4511, 0.7744], phi:[0.4511]] | t^2.132 + t^2.323 + 2*t^2.515 + t^2.707 + t^2.898 + t^2.91 + t^3.677 + t^4.06 + t^4.071 + 2*t^4.263 + 2*t^4.455 + 3*t^4.647 + 3*t^4.838 + t^4.85 + 5*t^5.03 + t^5.041 + 3*t^5.222 + t^5.233 + 2*t^5.413 + 2*t^5.425 + t^5.617 + t^5.797 + t^5.808 + t^5.82 - 2*t^6. - t^4.353/y - t^4.353*y | detail | |
| 4717 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6989 | 0.8802 | 0.794 | [M:[1.0279, 0.7747, 0.9646, 0.838, 1.162, 0.9721, 0.838, 0.7747], q:[0.5847, 0.3873], qb:[0.4506, 0.7747], phi:[0.4506]] | 2*t^2.324 + 2*t^2.514 + t^2.704 + t^2.894 + t^2.916 + t^3.866 + t^4.056 + t^4.078 + t^4.268 + t^4.458 + 3*t^4.648 + 4*t^4.838 + t^4.86 + 5*t^5.028 + 4*t^5.218 + 2*t^5.24 + 2*t^5.408 + 2*t^5.43 + t^5.62 + t^5.788 + t^5.833 - 3*t^6. - t^4.352/y - t^4.352*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.667 | 0.8243 | 0.8092 | [M:[1.032, 0.7742, 0.9676, 0.8387, 1.1613, 0.968], q:[0.5809, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.709 + t^2.903 + t^2.904 + t^3.484 + t^3.677 + t^3.871 + t^4.064 + t^4.065 + t^4.259 + t^4.452 + t^4.645 + t^4.839 + t^4.84 + 2*t^5.032 + 2*t^5.225 + t^5.227 + t^5.419 + t^5.42 + t^5.613 + t^5.805 + t^5.807 + t^5.808 - t^6. - t^4.355/y - t^4.355*y | detail |