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 |
|---|---|---|---|---|---|---|---|---|---|
| 46122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.625 | 0.8125 | 0.7692 | [M:[0.9507, 0.8203, 0.8521], q:[0.7377, 0.3116], qb:[0.442, 0.4102], phi:[0.5246]] | [M:[[-4], [26], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.165 + t^2.261 + t^2.461 + 2*t^2.556 + t^2.852 + t^3.148 + t^3.444 + t^3.739 + t^3.835 + t^4.035 + t^4.13 + t^4.226 + t^4.331 + t^4.426 + t^4.521 + t^4.626 + 3*t^4.722 + 2*t^4.817 + t^4.922 + 3*t^5.017 + 4*t^5.113 + 2*t^5.313 + 3*t^5.409 + t^5.609 + 2*t^5.704 + t^5.905 + t^6. + 2*t^6.2 + 3*t^6.296 + 2*t^6.391 + t^6.487 + 2*t^6.496 + 4*t^6.591 + 3*t^6.687 + 3*t^6.782 + t^6.792 + 3*t^6.887 + 2*t^6.983 + 2*t^7.078 + t^7.087 + 4*t^7.183 + 4*t^7.278 + 4*t^7.374 + t^7.383 + 4*t^7.479 + 4*t^7.574 + 6*t^7.669 + 3*t^7.774 + 3*t^7.87 + 4*t^7.965 + t^8.06 + 2*t^8.07 + t^8.165 + 2*t^8.261 + t^8.356 + 2*t^8.366 + t^8.452 - t^8.556 + 3*t^8.661 + t^8.747 + 4*t^8.757 + t^8.852 + 3*t^8.948 + 2*t^8.957 - t^4.574/y - t^7.035/y - t^7.13/y + t^7.426/y + t^7.626/y + (3*t^7.722)/y + (2*t^7.817)/y + (4*t^8.017)/y + (3*t^8.113)/y + (2*t^8.313)/y + (3*t^8.409)/y + (2*t^8.609)/y + (3*t^8.704)/y + (2*t^8.905)/y - t^4.574*y - t^7.035*y - t^7.13*y + t^7.426*y + t^7.626*y + 3*t^7.722*y + 2*t^7.817*y + 4*t^8.017*y + 3*t^8.113*y + 2*t^8.313*y + 3*t^8.409*y + 2*t^8.609*y + 3*t^8.704*y + 2*t^8.905*y | g1^18*t^2.165 + t^2.261/g1^20 + g1^26*t^2.461 + (2*t^2.556)/g1^12 + t^2.852/g1^4 + g1^4*t^3.148 + g1^12*t^3.444 + g1^20*t^3.739 + t^3.835/g1^18 + g1^28*t^4.035 + t^4.13/g1^10 + t^4.226/g1^48 + g1^36*t^4.331 + t^4.426/g1^2 + t^4.521/g1^40 + g1^44*t^4.626 + 3*g1^6*t^4.722 + (2*t^4.817)/g1^32 + g1^52*t^4.922 + 3*g1^14*t^5.017 + (4*t^5.113)/g1^24 + 2*g1^22*t^5.313 + (3*t^5.409)/g1^16 + g1^30*t^5.609 + (2*t^5.704)/g1^8 + g1^38*t^5.905 + t^6. + 2*g1^46*t^6.2 + 3*g1^8*t^6.296 + (2*t^6.391)/g1^30 + t^6.487/g1^68 + 2*g1^54*t^6.496 + 4*g1^16*t^6.591 + (3*t^6.687)/g1^22 + (3*t^6.782)/g1^60 + g1^62*t^6.792 + 3*g1^24*t^6.887 + (2*t^6.983)/g1^14 + (2*t^7.078)/g1^52 + g1^70*t^7.087 + 4*g1^32*t^7.183 + (4*t^7.278)/g1^6 + (4*t^7.374)/g1^44 + g1^78*t^7.383 + 4*g1^40*t^7.479 + 4*g1^2*t^7.574 + (6*t^7.669)/g1^36 + 3*g1^48*t^7.774 + 3*g1^10*t^7.87 + (4*t^7.965)/g1^28 + t^8.06/g1^66 + 2*g1^56*t^8.07 + g1^18*t^8.165 + (2*t^8.261)/g1^20 + t^8.356/g1^58 + 2*g1^64*t^8.366 + t^8.452/g1^96 - t^8.556/g1^12 + 3*g1^72*t^8.661 + t^8.747/g1^88 + 4*g1^34*t^8.757 + t^8.852/g1^4 + (3*t^8.948)/g1^42 + 2*g1^80*t^8.957 - (g1^2*t^4.574)/y - (g1^28*t^7.035)/y - t^7.13/(g1^10*y) + t^7.426/(g1^2*y) + (g1^44*t^7.626)/y + (3*g1^6*t^7.722)/y + (2*t^7.817)/(g1^32*y) + (4*g1^14*t^8.017)/y + (3*t^8.113)/(g1^24*y) + (2*g1^22*t^8.313)/y + (3*t^8.409)/(g1^16*y) + (2*g1^30*t^8.609)/y + (3*t^8.704)/(g1^8*y) + (2*g1^38*t^8.905)/y - g1^2*t^4.574*y - g1^28*t^7.035*y - (t^7.13*y)/g1^10 + (t^7.426*y)/g1^2 + g1^44*t^7.626*y + 3*g1^6*t^7.722*y + (2*t^7.817*y)/g1^32 + 4*g1^14*t^8.017*y + (3*t^8.113*y)/g1^24 + 2*g1^22*t^8.313*y + (3*t^8.409*y)/g1^16 + 2*g1^30*t^8.609*y + (3*t^8.704*y)/g1^8 + 2*g1^38*t^8.905*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 |
|---|---|---|---|---|---|---|---|---|
| 46484 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6204 | 0.8049 | 0.7708 | [M:[0.9515, 0.8151, 0.8546, 1.0485], q:[0.7379, 0.3106], qb:[0.447, 0.4076], phi:[0.5242]] | t^2.154 + t^2.273 + t^2.445 + 2*t^2.564 + 2*t^3.145 + t^3.436 + t^3.727 + t^3.846 + t^4.018 + t^4.136 + t^4.255 + t^4.309 + t^4.427 + t^4.546 + t^4.6 + 3*t^4.718 + 2*t^4.837 + t^4.891 + 2*t^5.009 + 3*t^5.127 + 2*t^5.3 + 2*t^5.418 + 2*t^5.591 + 3*t^5.709 + t^5.882 - t^4.573/y - t^4.573*y | detail | |
| 46478 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6451 | 0.8502 | 0.7587 | [M:[0.9518, 0.8136, 0.8553, 0.7171], q:[0.7379, 0.3103], qb:[0.4485, 0.4068], phi:[0.5241]] | 2*t^2.151 + t^2.276 + t^2.441 + 2*t^2.566 + t^2.855 + t^3.145 + t^3.434 + t^3.724 + t^4.013 + t^4.138 + t^4.263 + 3*t^4.303 + 2*t^4.428 + t^4.553 + 2*t^4.592 + 5*t^4.717 + 2*t^4.842 + t^4.882 + 4*t^5.007 + 4*t^5.132 + 3*t^5.296 + 3*t^5.421 + 2*t^5.586 + 2*t^5.711 + 2*t^5.875 - t^4.572/y - t^4.572*y | detail | |
| 46507 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6381 | 0.8353 | 0.764 | [M:[0.9488, 0.8329, 0.8463, 0.8463], q:[0.7372, 0.314], qb:[0.4299, 0.4165], phi:[0.5256]] | t^2.191 + t^2.232 + t^2.499 + 3*t^2.539 + t^2.846 + t^3.154 + t^3.768 + t^3.809 + t^4.076 + t^4.116 + t^4.156 + t^4.383 + t^4.423 + t^4.463 + t^4.69 + 4*t^4.73 + 3*t^4.771 + t^4.998 + 4*t^5.038 + 7*t^5.078 + 2*t^5.345 + 4*t^5.385 + 2*t^5.693 - t^6. - t^4.577/y - t^4.577*y | detail | |
| 46387 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[0.9527, 0.8072, 0.8582, 1.1418], q:[0.7382, 0.3091], qb:[0.4546, 0.4036], phi:[0.5236]] | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6293 | 0.8168 | 0.7704 | [M:[0.9733, 0.7967, 0.7967], q:[0.7433, 0.2834], qb:[0.4599, 0.4599], phi:[0.5134]] | 2*t^2.23 + 2*t^2.39 + t^2.76 + t^2.92 + t^3.08 + t^3.24 + 2*t^3.77 + 3*t^4.3 + 3*t^4.46 + 4*t^4.62 + 3*t^4.78 + 2*t^4.99 + 4*t^5.15 + 4*t^5.31 + 2*t^5.47 + t^5.519 + 2*t^5.631 + t^5.679 + t^5.84 - t^4.54/y - t^4.54*y | detail |