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 |
|---|---|---|---|---|---|---|---|---|---|
| 216 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5911 | 0.7501 | 0.788 | [M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | [M:[[4, 4], [-12, -12], [4, 4]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.228 + 2*t^2.911 + 2*t^3.267 + 2*t^3.594 + 2*t^3.772 + 3*t^4.277 + 3*t^4.455 + 4*t^5.139 + 2*t^5.495 + 6*t^5.822 - 2*t^6. + 2*t^6.178 + 6*t^6.505 + 3*t^6.534 + 4*t^6.683 + 2*t^7.04 + 6*t^7.188 + 5*t^7.366 + t^7.545 + 2*t^7.723 + 4*t^7.871 + 10*t^8.05 - 6*t^8.228 + 5*t^8.555 + 11*t^8.733 + 2*t^8.762 - 6*t^8.911 - t^4.545/y + t^7.277/y + t^7.634/y - t^7.812/y + (4*t^8.139)/y + (4*t^8.495)/y + (5*t^8.822)/y - t^4.545*y + t^7.277*y + t^7.634*y - t^7.812*y + 4*t^8.139*y + 4*t^8.495*y + 5*t^8.822*y | (g1^7*t^2.228)/g2^5 + (g2^7*t^2.228)/g1^5 + 2*g1^4*g2^4*t^2.911 + (2*t^3.267)/(g1^12*g2^12) + g1^13*g2*t^3.594 + g1*g2^13*t^3.594 + (g1^5*t^3.772)/g2^7 + (g2^5*t^3.772)/g1^7 + (g1^22*t^4.277)/g2^2 + g1^10*g2^10*t^4.277 + (g2^22*t^4.277)/g1^2 + (g1^14*t^4.455)/g2^10 + g1^2*g2^2*t^4.455 + (g2^14*t^4.455)/g1^10 + (2*g1^11*t^5.139)/g2 + (2*g2^11*t^5.139)/g1 + t^5.495/(g1^5*g2^17) + t^5.495/(g1^17*g2^5) + (g1^20*t^5.822)/g2^4 + 4*g1^8*g2^8*t^5.822 + (g2^20*t^5.822)/g1^4 - 2*t^6. + (2*t^6.178)/(g1^8*g2^8) + (g1^29*t^6.505)/g2^7 + 2*g1^17*g2^5*t^6.505 + 2*g1^5*g2^17*t^6.505 + (g2^29*t^6.505)/g1^7 + (3*t^6.534)/(g1^24*g2^24) + (g1^21*t^6.683)/g2^15 + (g1^9*t^6.683)/g2^3 + (g2^9*t^6.683)/g1^3 + (g2^21*t^6.683)/g1^15 + t^7.04/(g1^7*g2^19) + t^7.04/(g1^19*g2^7) + 2*g1^26*g2^2*t^7.188 + 2*g1^14*g2^14*t^7.188 + 2*g1^2*g2^26*t^7.188 + (2*g1^18*t^7.366)/g2^6 + g1^6*g2^6*t^7.366 + (2*g2^18*t^7.366)/g1^6 + (g1^10*t^7.545)/g2^14 - t^7.545/(g1^2*g2^2) + (g2^10*t^7.545)/g1^14 + (g1^2*t^7.723)/g2^22 + (g2^2*t^7.723)/g1^22 + (g1^35*t^7.871)/g2 + g1^23*g2^11*t^7.871 + g1^11*g2^23*t^7.871 + (g2^35*t^7.871)/g1 + (2*g1^27*t^8.05)/g2^9 + 3*g1^15*g2^3*t^8.05 + 3*g1^3*g2^15*t^8.05 + (2*g2^27*t^8.05)/g1^9 - (3*g1^7*t^8.228)/g2^5 - (3*g2^7*t^8.228)/g1^5 + (g1^44*t^8.555)/g2^4 + g1^32*g2^8*t^8.555 + g1^20*g2^20*t^8.555 + g1^8*g2^32*t^8.555 + (g2^44*t^8.555)/g1^4 + 2*g1^24*t^8.733 + (g1^36*t^8.733)/g2^12 + 5*g1^12*g2^12*t^8.733 + 2*g2^24*t^8.733 + (g2^36*t^8.733)/g1^12 + t^8.762/(g1^17*g2^29) + t^8.762/(g1^29*g2^17) + (g1^28*t^8.911)/g2^20 - (g1^16*t^8.911)/g2^8 - 6*g1^4*g2^4*t^8.911 - (g2^16*t^8.911)/g1^8 + (g2^28*t^8.911)/g1^20 - t^4.545/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.277)/y + t^7.634/(g1^6*g2^6*y) - t^7.812/(g1^14*g2^14*y) + (2*g1^11*t^8.139)/(g2*y) + (2*g2^11*t^8.139)/(g1*y) + (2*t^8.495)/(g1^5*g2^17*y) + (2*t^8.495)/(g1^17*g2^5*y) + (g1^20*t^8.822)/(g2^4*y) + (3*g1^8*g2^8*t^8.822)/y + (g2^20*t^8.822)/(g1^4*y) - (t^4.545*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.277*y + (t^7.634*y)/(g1^6*g2^6) - (t^7.812*y)/(g1^14*g2^14) + (2*g1^11*t^8.139*y)/g2 + (2*g2^11*t^8.139*y)/g1 + (2*t^8.495*y)/(g1^5*g2^17) + (2*t^8.495*y)/(g1^17*g2^5) + (g1^20*t^8.822*y)/g2^4 + 3*g1^8*g2^8*t^8.822*y + (g2^20*t^8.822*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6019 | 0.7721 | 0.7795 | [M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.213 + t^2.552 + 2*t^2.851 + t^3.448 + 2*t^3.489 + 2*t^3.787 + 3*t^4.127 + 3*t^4.425 + 2*t^4.764 + 4*t^5.063 + t^5.104 + 2*t^5.402 + 6*t^5.701 - t^6. - t^4.575/y - t^4.575*y | detail | |
| 346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail | |
| 1734 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6083 | 0.7807 | 0.7792 | [M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]] | t^2.191 + t^2.276 + t^2.323 + 2*t^2.934 + 2*t^3.197 + t^3.593 + t^3.724 + t^3.809 + t^4.251 + t^4.336 + t^4.382 + t^4.42 + t^4.467 + t^4.514 + t^4.552 + t^4.599 + t^4.645 + 2*t^5.125 + 2*t^5.21 + 2*t^5.257 + t^5.388 + t^5.473 + 2*t^5.52 + t^5.784 + 3*t^5.869 + t^5.915 - 2*t^6. - t^4.533/y - t^4.533*y | detail | |
| 1736 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5899 | 0.7482 | 0.7884 | [M:[0.9775, 1.0674, 0.9775], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | t^2.166 + t^2.301 + 2*t^2.933 + 2*t^3.202 + t^3.565 + 2*t^3.699 + t^3.834 + t^4.197 + 2*t^4.332 + 2*t^4.466 + t^4.601 + 2*t^5.098 + 2*t^5.233 + t^5.368 + t^5.503 + t^5.73 + 4*t^5.865 - t^6. - t^4.534/y - t^4.534*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 |
|---|---|---|---|---|---|---|---|---|---|
| 131 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5887 | 0.7456 | 0.7895 | [M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y | detail |