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 |
|---|---|---|---|---|---|---|---|---|---|
| 55630 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ | 0.605 | 0.7495 | 0.8072 | [X:[1.3754], M:[1.1251, 0.9583, 0.6246, 0.7914, 1.0417, 0.9583], q:[0.2604, 0.6144], qb:[0.7813, 0.5942], phi:[0.4374]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [-4]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -2 | t^2.374 + t^2.564 + t^2.625 + 2*t^2.875 + t^3.375 + t^3.876 + t^3.937 + t^4.126 + t^4.187 + t^4.749 + t^4.877 + t^4.938 + t^4.999 + t^5.128 + t^5.188 + 3*t^5.249 + 2*t^5.439 + 2*t^5.499 + 3*t^5.75 - 2*t^6. - t^6.061 + t^6.25 + t^6.44 + t^6.501 + t^6.561 + t^6.69 + 3*t^6.751 + 2*t^6.812 + t^7.123 - t^7.312 + t^7.441 + 2*t^7.502 + 3*t^7.623 + t^7.691 + 3*t^7.752 + 2*t^7.813 + 3*t^7.874 + 2*t^8.002 + 2*t^8.063 + 5*t^8.124 + t^8.253 + 2*t^8.313 - 3*t^8.564 - t^8.685 + t^8.753 - t^8.814 - 6*t^8.875 - t^8.936 - t^4.312/y - t^6.687/y - t^7.187/y + t^7.437/y + (2*t^7.938)/y + t^7.999/y + t^8.188/y + (2*t^8.249)/y + (2*t^8.439)/y + (2*t^8.499)/y + (2*t^8.75)/y + t^8.939/y - t^4.312*y - t^6.687*y - t^7.187*y + t^7.437*y + 2*t^7.938*y + t^7.999*y + t^8.188*y + 2*t^8.249*y + 2*t^8.439*y + 2*t^8.499*y + 2*t^8.75*y + t^8.939*y | t^2.374/g1^20 + g1^34*t^2.564 + t^2.625/g1^12 + (2*t^2.875)/g1^4 + g1^12*t^3.375 + g1^28*t^3.876 + t^3.937/g1^18 + g1^36*t^4.126 + t^4.187/g1^10 + t^4.749/g1^40 + g1^60*t^4.877 + g1^14*t^4.938 + t^4.999/g1^32 + g1^68*t^5.128 + g1^22*t^5.188 + (3*t^5.249)/g1^24 + 2*g1^30*t^5.439 + (2*t^5.499)/g1^16 + (3*t^5.75)/g1^8 - 2*t^6. - t^6.061/g1^46 + g1^8*t^6.25 + g1^62*t^6.44 + g1^16*t^6.501 + t^6.561/g1^30 + g1^70*t^6.69 + 3*g1^24*t^6.751 + (2*t^6.812)/g1^22 + t^7.123/g1^60 - t^7.312/g1^6 + g1^94*t^7.441 + 2*g1^48*t^7.502 + (3*t^7.623)/g1^44 + g1^102*t^7.691 + 3*g1^56*t^7.752 + 2*g1^10*t^7.813 + (3*t^7.874)/g1^36 + 2*g1^64*t^8.002 + 2*g1^18*t^8.063 + (5*t^8.124)/g1^28 + g1^72*t^8.253 + 2*g1^26*t^8.313 - 3*g1^34*t^8.564 - t^8.685/g1^58 + g1^88*t^8.753 - g1^42*t^8.814 - (6*t^8.875)/g1^4 - t^8.936/g1^50 - t^4.312/(g1^6*y) - t^6.687/(g1^26*y) - t^7.187/(g1^10*y) + t^7.437/(g1^2*y) + (2*g1^14*t^7.938)/y + t^7.999/(g1^32*y) + (g1^22*t^8.188)/y + (2*t^8.249)/(g1^24*y) + (2*g1^30*t^8.439)/y + (2*t^8.499)/(g1^16*y) + (2*t^8.75)/(g1^8*y) + (g1^46*t^8.939)/y - (t^4.312*y)/g1^6 - (t^6.687*y)/g1^26 - (t^7.187*y)/g1^10 + (t^7.437*y)/g1^2 + 2*g1^14*t^7.938*y + (t^7.999*y)/g1^32 + g1^22*t^8.188*y + (2*t^8.249*y)/g1^24 + 2*g1^30*t^8.439*y + (2*t^8.499*y)/g1^16 + (2*t^8.75*y)/g1^8 + g1^46*t^8.939*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 |
|---|---|---|---|---|---|---|---|---|
| 57269 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6257 | 0.79 | 0.7921 | [X:[1.3719], M:[1.124, 0.9587, 0.6281, 0.7934, 1.0413, 0.9587, 0.686], q:[0.2603, 0.6157], qb:[0.781, 0.5909], phi:[0.438]] | t^2.058 + t^2.38 + t^2.554 + t^2.628 + 2*t^2.876 + t^3.372 + t^3.868 + 2*t^4.116 + t^4.19 + t^4.438 + t^4.612 + t^4.686 + t^4.76 + t^4.86 + 3*t^4.934 + t^5.008 + t^5.108 + t^5.182 + 3*t^5.256 + 3*t^5.43 + 2*t^5.504 + 3*t^5.752 + t^5.926 - 2*t^6. - t^4.314/y - t^4.314*y | detail | |
| 57268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6255 | 0.7884 | 0.7933 | [X:[1.385], M:[1.1283, 0.9572, 0.615, 0.7861, 1.0428, 0.9572, 0.7006], q:[0.2607, 0.611], qb:[0.7821, 0.6029], phi:[0.4358]] | t^2.102 + t^2.358 + t^2.591 + t^2.615 + 2*t^2.872 + t^3.385 + t^3.923 + t^4.155 + t^4.179 + t^4.204 + t^4.46 + t^4.692 + 2*t^4.717 + t^4.925 + t^4.949 + 3*t^4.973 + t^5.181 + t^5.206 + 3*t^5.23 + 2*t^5.462 + 3*t^5.487 + 3*t^5.743 - 2*t^6. - t^4.308/y - t^4.308*y | detail | |
| 57266 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.5943 | 0.7313 | 0.8126 | [X:[1.4327], M:[1.1442, 0.9519, 0.5673, 0.7596, 1.0481, 0.9519, 1.0913], q:[0.262, 0.5937], qb:[0.7861, 0.6467], phi:[0.4279]] | t^2.279 + t^2.567 + 2*t^2.856 + t^3.274 + t^3.433 + t^3.851 + t^4.01 + t^4.139 + t^4.298 + t^4.558 + t^4.846 + 3*t^5.135 + t^5.164 + 2*t^5.423 + t^5.553 + 3*t^5.712 - 2*t^6. - t^4.284/y - t^4.284*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47113 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y | detail |