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 |
|---|---|---|---|---|---|---|---|---|---|
| 1983 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6856 | 0.8692 | 0.7888 | [M:[1.1153, 0.7259, 0.8847, 0.8847, 0.7259, 0.6729], q:[0.8053, 0.5218], qb:[0.3629, 0.7523], phi:[0.3894]] | [M:[[16], [14], [-16], [-16], [14], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.019 + 2*t^2.178 + t^2.336 + 2*t^2.654 + t^3.346 + t^3.505 + t^4.037 + 2*t^4.196 + t^4.299 + 4*t^4.355 + 3*t^4.514 + 4*t^4.673 + 3*t^4.832 + 3*t^4.991 + 2*t^5.308 + t^5.364 + 2*t^5.523 + 4*t^5.682 - 2*t^6. + t^6.056 + t^6.159 + 2*t^6.215 + 4*t^6.374 + 7*t^6.533 + t^6.636 + 8*t^6.692 + 8*t^6.85 + 2*t^6.953 + 8*t^7.009 + 3*t^7.168 + 4*t^7.327 + t^7.383 + 2*t^7.486 + 2*t^7.542 + 2*t^7.645 + 5*t^7.701 + 6*t^7.86 + t^7.963 + t^8.019 + t^8.075 - 5*t^8.178 + 2*t^8.234 - 2*t^8.336 + 4*t^8.392 - 3*t^8.495 + 7*t^8.551 + t^8.598 - 6*t^8.654 + 13*t^8.71 + 13*t^8.869 + t^8.972 - t^4.168/y - t^6.187/y - (2*t^6.346)/y - t^6.505/y - t^6.822/y + (2*t^7.196)/y + (2*t^7.355)/y + (3*t^7.514)/y + (2*t^7.673)/y + (5*t^7.832)/y + (4*t^7.991)/y + t^8.15/y - t^8.206/y + t^8.308/y - t^8.364/y - t^8.523/y + t^8.682/y - t^8.841/y - t^4.168*y - t^6.187*y - 2*t^6.346*y - t^6.505*y - t^6.822*y + 2*t^7.196*y + 2*t^7.355*y + 3*t^7.514*y + 2*t^7.673*y + 5*t^7.832*y + 4*t^7.991*y + t^8.15*y - t^8.206*y + t^8.308*y - t^8.364*y - t^8.523*y + t^8.682*y - t^8.841*y | g1^24*t^2.019 + 2*g1^14*t^2.178 + g1^4*t^2.336 + (2*t^2.654)/g1^16 + g1^16*t^3.346 + g1^6*t^3.505 + g1^48*t^4.037 + 2*g1^38*t^4.196 + t^4.299/g1^44 + 4*g1^28*t^4.355 + 3*g1^18*t^4.514 + 4*g1^8*t^4.673 + (3*t^4.832)/g1^2 + (3*t^4.991)/g1^12 + (2*t^5.308)/g1^32 + g1^40*t^5.364 + 2*g1^30*t^5.523 + 4*g1^20*t^5.682 - 2*t^6. + g1^72*t^6.056 + t^6.159/g1^10 + 2*g1^62*t^6.215 + 4*g1^52*t^6.374 + 7*g1^42*t^6.533 + t^6.636/g1^40 + 8*g1^32*t^6.692 + 8*g1^22*t^6.85 + (2*t^6.953)/g1^60 + 8*g1^12*t^7.009 + 3*g1^2*t^7.168 + (4*t^7.327)/g1^8 + g1^64*t^7.383 + (2*t^7.486)/g1^18 + 2*g1^54*t^7.542 + (2*t^7.645)/g1^28 + 5*g1^44*t^7.701 + 6*g1^34*t^7.86 + t^7.963/g1^48 + g1^24*t^8.019 + g1^96*t^8.075 - 5*g1^14*t^8.178 + 2*g1^86*t^8.234 - 2*g1^4*t^8.336 + 4*g1^76*t^8.392 - (3*t^8.495)/g1^6 + 7*g1^66*t^8.551 + t^8.598/g1^88 - (6*t^8.654)/g1^16 + 13*g1^56*t^8.71 + 13*g1^46*t^8.869 + t^8.972/g1^36 - (g1^2*t^4.168)/y - (g1^26*t^6.187)/y - (2*g1^16*t^6.346)/y - (g1^6*t^6.505)/y - t^6.822/(g1^14*y) + (2*g1^38*t^7.196)/y + (2*g1^28*t^7.355)/y + (3*g1^18*t^7.514)/y + (2*g1^8*t^7.673)/y + (5*t^7.832)/(g1^2*y) + (4*t^7.991)/(g1^12*y) + t^8.15/(g1^22*y) - (g1^50*t^8.206)/y + t^8.308/(g1^32*y) - (g1^40*t^8.364)/y - (g1^30*t^8.523)/y + (g1^20*t^8.682)/y - (g1^10*t^8.841)/y - g1^2*t^4.168*y - g1^26*t^6.187*y - 2*g1^16*t^6.346*y - g1^6*t^6.505*y - (t^6.822*y)/g1^14 + 2*g1^38*t^7.196*y + 2*g1^28*t^7.355*y + 3*g1^18*t^7.514*y + 2*g1^8*t^7.673*y + (5*t^7.832*y)/g1^2 + (4*t^7.991*y)/g1^12 + (t^8.15*y)/g1^22 - g1^50*t^8.206*y + (t^8.308*y)/g1^32 - g1^40*t^8.364*y - g1^30*t^8.523*y + g1^20*t^8.682*y - g1^10*t^8.841*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 |
|---|---|---|---|---|---|---|---|---|
| 3038 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6965 | 0.8868 | 0.7854 | [M:[1.1281, 0.7371, 0.8719, 0.8719, 0.7371, 0.6921, 0.8719], q:[0.8045, 0.5034], qb:[0.3685, 0.7596], phi:[0.391]] | t^2.076 + 2*t^2.211 + t^2.346 + 3*t^2.616 + t^3.519 + t^4.153 + t^4.193 + 2*t^4.288 + 4*t^4.422 + 3*t^4.557 + 5*t^4.692 + 5*t^4.827 + 4*t^4.962 + 5*t^5.231 + 3*t^5.73 - 4*t^6. - t^4.173/y - t^4.173*y | detail | |
| 3039 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7001 | 0.8939 | 0.7832 | [M:[1.1194, 0.7295, 0.8806, 0.8806, 0.7295, 0.6792, 0.8302], q:[0.805, 0.5158], qb:[0.3648, 0.7547], phi:[0.3899]] | t^2.038 + 2*t^2.189 + t^2.34 + t^2.491 + 2*t^2.642 + t^3.358 + t^4.075 + 2*t^4.226 + t^4.265 + 4*t^4.377 + 4*t^4.528 + 6*t^4.679 + 4*t^4.83 + 4*t^4.981 + 2*t^5.132 + 2*t^5.283 + t^5.396 + t^5.547 + 2*t^5.698 - 2*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 726 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6648 | 0.8279 | 0.8029 | [M:[1.1163, 0.7268, 0.8837, 0.8837, 0.7268], q:[0.8052, 0.5203], qb:[0.3634, 0.7529], phi:[0.3895]] | 2*t^2.18 + t^2.337 + 2*t^2.651 + t^3.349 + t^3.506 + t^3.977 + t^4.29 + 3*t^4.361 + 3*t^4.518 + 2*t^4.674 + 3*t^4.831 + 3*t^4.988 + 2*t^5.302 + t^5.529 + 4*t^5.686 - 2*t^6. - t^4.169/y - t^4.169*y | detail |