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 |
|---|---|---|---|---|---|---|---|---|---|
| 46064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6107 | 0.7887 | 0.7743 | [M:[0.9465, 0.8395], q:[0.7366, 0.3169], qb:[0.4238, 0.4157], phi:[0.5267]] | [M:[[4], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.198 + t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^3.778 + t^3.802 + t^4.074 + t^4.099 + t^4.123 + t^4.395 + t^4.42 + t^4.444 + 2*t^4.716 + 2*t^4.741 + 4*t^5.037 + t^5.062 + 3*t^5.358 + t^5.383 + t^5.655 + 3*t^5.679 + 2*t^5.976 + t^6. + t^6.272 + 3*t^6.296 + 2*t^6.321 + t^6.345 + 3*t^6.593 + 3*t^6.617 + 3*t^6.642 + t^6.666 + 3*t^6.914 + 2*t^6.938 + 2*t^6.963 + 5*t^7.235 + 3*t^7.259 + t^7.284 + t^7.531 + 7*t^7.556 + t^7.58 + t^7.605 + 2*t^7.852 + 5*t^7.877 + t^7.901 + t^7.926 + t^8.149 + 3*t^8.173 + 4*t^8.198 - t^8.222 + t^8.247 + t^8.47 + 4*t^8.494 - t^8.543 + t^8.568 + 3*t^8.791 + 5*t^8.815 + t^8.864 + t^8.888 - t^4.58/y - t^7.099/y + t^7.42/y + (2*t^7.716)/y + (2*t^7.741)/y + (2*t^8.037)/y + (2*t^8.062)/y + (3*t^8.358)/y + t^8.383/y + t^8.655/y + (4*t^8.679)/y + t^8.704/y + (3*t^8.976)/y - t^4.58*y - t^7.099*y + t^7.42*y + 2*t^7.716*y + 2*t^7.741*y + 2*t^8.037*y + 2*t^8.062*y + 3*t^8.358*y + t^8.383*y + t^8.655*y + 4*t^8.679*y + t^8.704*y + 3*t^8.976*y | g1^20*t^2.198 + t^2.222/g1^18 + 2*g1^12*t^2.519 + g1^4*t^2.84 + t^3.16/g1^4 + g1^26*t^3.457 + t^3.481/g1^12 + g1^18*t^3.778 + t^3.802/g1^20 + g1^48*t^4.074 + g1^10*t^4.099 + t^4.123/g1^28 + g1^40*t^4.395 + g1^2*t^4.42 + t^4.444/g1^36 + 2*g1^32*t^4.716 + (2*t^4.741)/g1^6 + 4*g1^24*t^5.037 + t^5.062/g1^14 + 3*g1^16*t^5.358 + t^5.383/g1^22 + g1^46*t^5.655 + 3*g1^8*t^5.679 + 2*g1^38*t^5.976 + t^6. + g1^68*t^6.272 + 3*g1^30*t^6.296 + (2*t^6.321)/g1^8 + t^6.345/g1^46 + 3*g1^60*t^6.593 + 3*g1^22*t^6.617 + (3*t^6.642)/g1^16 + t^6.666/g1^54 + 3*g1^52*t^6.914 + 2*g1^14*t^6.938 + (2*t^6.963)/g1^24 + 5*g1^44*t^7.235 + 3*g1^6*t^7.259 + t^7.284/g1^32 + g1^74*t^7.531 + 7*g1^36*t^7.556 + t^7.58/g1^2 + t^7.605/g1^40 + 2*g1^66*t^7.852 + 5*g1^28*t^7.877 + t^7.901/g1^10 + t^7.926/g1^48 + g1^96*t^8.149 + 3*g1^58*t^8.173 + 4*g1^20*t^8.198 - t^8.222/g1^18 + t^8.247/g1^56 + g1^88*t^8.47 + 4*g1^50*t^8.494 - t^8.543/g1^26 + t^8.568/g1^64 + 3*g1^80*t^8.791 + 5*g1^42*t^8.815 + t^8.864/g1^34 + t^8.888/g1^72 - t^4.58/(g1^2*y) - (g1^10*t^7.099)/y + (g1^2*t^7.42)/y + (2*g1^32*t^7.716)/y + (2*t^7.741)/(g1^6*y) + (2*g1^24*t^8.037)/y + (2*t^8.062)/(g1^14*y) + (3*g1^16*t^8.358)/y + t^8.383/(g1^22*y) + (g1^46*t^8.655)/y + (4*g1^8*t^8.679)/y + t^8.704/(g1^30*y) + (3*g1^38*t^8.976)/y - (t^4.58*y)/g1^2 - g1^10*t^7.099*y + g1^2*t^7.42*y + 2*g1^32*t^7.716*y + (2*t^7.741*y)/g1^6 + 2*g1^24*t^8.037*y + (2*t^8.062*y)/g1^14 + 3*g1^16*t^8.358*y + (t^8.383*y)/g1^22 + g1^46*t^8.655*y + 4*g1^8*t^8.679*y + (t^8.704*y)/g1^30 + 3*g1^38*t^8.976*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 |
|---|---|---|---|---|---|---|---|---|
| 46189 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6057 | 0.7801 | 0.7765 | [M:[0.9474, 0.8422, 1.0526], q:[0.7368, 0.3158], qb:[0.421, 0.4212], phi:[0.5263]] | t^2.21 + t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + t^3.789 + t^3.79 + 2*t^4.105 + t^4.106 + 2*t^4.421 + t^4.422 + 4*t^4.737 + 3*t^5.053 + 2*t^5.368 + 2*t^5.369 + 4*t^5.684 + t^5.685 - t^4.579/y - t^4.579*y | detail | |
| 46086 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{3}$ | 0.597 | 0.7645 | 0.7809 | [M:[0.9486, 0.8459, 1.1541], q:[0.7372, 0.3142], qb:[0.4169, 0.429], phi:[0.5257]] | t^2.193 + t^2.23 + t^2.538 + t^2.846 + t^3.154 + 2*t^3.462 + t^3.499 + t^3.77 + t^3.807 + t^4.078 + t^4.115 + t^4.151 + t^4.387 + t^4.423 + t^4.459 + t^4.731 + t^4.767 + t^5.039 + 2*t^5.076 + t^5.347 + 2*t^5.384 + t^5.655 + 3*t^5.692 + t^5.728 + t^6. - t^4.577/y - t^4.577*y | detail | |
| 46290 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6305 | 0.8262 | 0.7631 | [M:[0.9451, 0.8352, 0.7254], q:[0.7363, 0.3187], qb:[0.4285, 0.4067], phi:[0.5275]] | 2*t^2.176 + t^2.241 + 2*t^2.506 + t^2.835 + t^3.165 + t^3.429 + t^3.494 + t^3.759 + t^4.023 + t^4.088 + t^4.153 + 3*t^4.352 + 2*t^4.418 + t^4.483 + 4*t^4.682 + 2*t^4.747 + 5*t^5.011 + t^5.077 + 4*t^5.341 + t^5.406 + 2*t^5.605 + 4*t^5.67 + 3*t^5.935 - t^4.582/y - t^4.582*y | detail | |
| 46235 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6157 | 0.7974 | 0.7721 | [M:[0.9456, 0.8369, 0.9456], q:[0.7364, 0.318], qb:[0.4267, 0.4102], phi:[0.5272]] | t^2.185 + t^2.234 + 2*t^2.511 + 2*t^2.837 + t^3.44 + t^3.489 + t^3.766 + t^3.815 + t^4.043 + t^4.092 + t^4.142 + t^4.369 + t^4.418 + t^4.468 + 2*t^4.695 + 2*t^4.745 + 5*t^5.021 + 2*t^5.071 + 4*t^5.348 + t^5.625 + 3*t^5.674 + 2*t^5.951 - t^4.582/y - t^4.582*y | detail | |
| 46310 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6056 | 0.7795 | 0.7769 | [M:[0.9565, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 3*t^4.696 + 3*t^4.957 + 5*t^5.217 + 3*t^5.478 + 3*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y | detail | {a: 7368/12167, c: 9484/12167, M1: 22/23, M2: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45895 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6135 | 0.7901 | 0.7764 | [M:[0.9652, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | t^2.177 + t^2.271 + t^2.386 + t^2.687 + t^2.896 + t^3.104 + t^3.313 + t^3.521 + t^3.729 + t^3.823 + t^4.145 + t^4.239 + t^4.333 + t^4.354 + t^4.448 + t^4.542 + t^4.562 + t^4.656 + t^4.771 + t^4.864 + t^4.958 + 2*t^5.073 + t^5.167 + 2*t^5.281 + t^5.374 + t^5.375 + t^5.49 + t^5.583 + 2*t^5.698 + 2*t^5.791 + t^5.906 - t^4.552/y - t^4.552*y | detail |