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 |
|---|---|---|---|---|---|---|---|---|---|
| 53323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.2786, 1.0166, 0.7214, 0.6882, 0.9834, 0.7214], q:[0.3441, 0.3773], qb:[0.6393, 0.9345], phi:[0.4262]] | [M:[[-6], [14], [6], [-22], [-14], [6]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. + t^6.1 + t^6.194 + 3*t^6.293 + 3*t^6.393 + 4*t^6.493 + t^6.592 + 2*t^6.686 + 2*t^6.786 + 3*t^6.886 + t^7.079 + t^7.085 + 3*t^7.179 + 5*t^7.279 + t^7.378 + t^7.472 + 3*t^7.572 + 6*t^7.672 + 4*t^7.771 + 3*t^7.871 + t^7.965 + t^8.065 - 2*t^8.164 + t^8.258 + 2*t^8.264 + 3*t^8.358 + 5*t^8.458 + t^8.557 + 5*t^8.657 + 2*t^8.751 + 2*t^8.756 + 4*t^8.851 - 2*t^8.95 - t^4.279/y - t^6.343/y - t^6.443/y - t^6.836/y + (2*t^7.229)/y + t^7.328/y + t^7.622/y + (3*t^7.721)/y + t^8.015/y + (4*t^8.114)/y + (3*t^8.214)/y + (3*t^8.507)/y + (3*t^8.607)/y + (2*t^8.707)/y - t^4.279*y - t^6.343*y - t^6.443*y - t^6.836*y + 2*t^7.229*y + t^7.328*y + t^7.622*y + 3*t^7.721*y + t^8.015*y + 4*t^8.114*y + 3*t^8.214*y + 3*t^8.507*y + 3*t^8.607*y + 2*t^8.707*y | t^2.065/g1^22 + 2*g1^6*t^2.164 + t^2.557/g1^4 + t^2.95/g1^14 + g1^14*t^3.05 + t^3.343/g1^24 + g1^4*t^3.443 + g1^32*t^3.542 + t^4.129/g1^44 + (2*t^4.229)/g1^16 + 3*g1^12*t^4.328 + t^4.622/g1^26 + 3*g1^2*t^4.721 + t^5.015/g1^36 + (4*t^5.114)/g1^8 + 2*g1^20*t^5.214 + t^5.408/g1^46 + (3*t^5.507)/g1^18 + 3*g1^10*t^5.607 + 2*g1^38*t^5.707 + t^5.9/g1^28 - t^6. + g1^28*t^6.1 + t^6.194/g1^66 + (3*t^6.293)/g1^38 + (3*t^6.393)/g1^10 + 4*g1^18*t^6.493 + g1^46*t^6.592 + (2*t^6.686)/g1^48 + (2*t^6.786)/g1^20 + 3*g1^8*t^6.886 + t^7.079/g1^58 + g1^64*t^7.085 + (3*t^7.179)/g1^30 + (5*t^7.279)/g1^2 + g1^26*t^7.378 + t^7.472/g1^68 + (3*t^7.572)/g1^40 + (6*t^7.672)/g1^12 + 4*g1^16*t^7.771 + 3*g1^44*t^7.871 + t^7.965/g1^50 + t^8.065/g1^22 - 2*g1^6*t^8.164 + t^8.258/g1^88 + 2*g1^34*t^8.264 + (3*t^8.358)/g1^60 + (5*t^8.458)/g1^32 + t^8.557/g1^4 + 5*g1^24*t^8.657 + (2*t^8.751)/g1^70 + 2*g1^52*t^8.756 + (4*t^8.851)/g1^42 - (2*t^8.95)/g1^14 - t^4.279/(g1^2*y) - t^6.343/(g1^24*y) - (g1^4*t^6.443)/y - t^6.836/(g1^6*y) + (2*t^7.229)/(g1^16*y) + (g1^12*t^7.328)/y + t^7.622/(g1^26*y) + (3*g1^2*t^7.721)/y + t^8.015/(g1^36*y) + (4*t^8.114)/(g1^8*y) + (3*g1^20*t^8.214)/y + (3*t^8.507)/(g1^18*y) + (3*g1^10*t^8.607)/y + (2*g1^38*t^8.707)/y - (t^4.279*y)/g1^2 - (t^6.343*y)/g1^24 - g1^4*t^6.443*y - (t^6.836*y)/g1^6 + (2*t^7.229*y)/g1^16 + g1^12*t^7.328*y + (t^7.622*y)/g1^26 + 3*g1^2*t^7.721*y + (t^8.015*y)/g1^36 + (4*t^8.114*y)/g1^8 + 3*g1^20*t^8.214*y + (3*t^8.507*y)/g1^18 + 3*g1^10*t^8.607*y + 2*g1^38*t^8.707*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 |
|---|---|---|---|---|---|---|---|---|
| 56481 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.603 | 0.7726 | 0.7805 | [M:[1.2853, 1.0009, 0.7147, 0.7128, 0.9991, 0.7147, 1.0009], q:[0.3564, 0.3583], qb:[0.6427, 0.9289], phi:[0.4284]] | t^2.139 + 2*t^2.144 + t^2.571 + 2*t^3.003 + t^3.424 + t^3.429 + t^3.435 + t^4.277 + 2*t^4.283 + 3*t^4.288 + t^4.709 + 3*t^4.715 + 3*t^5.141 + 4*t^5.147 + t^5.562 + 2*t^5.568 + 4*t^5.573 + 2*t^5.579 - 2*t^6. - t^4.285/y - t^4.285*y | detail | |
| 56482 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6156 | 0.7946 | 0.7748 | [M:[1.2878, 0.9952, 0.7122, 0.7218, 1.0048, 0.7122, 0.8489], q:[0.3609, 0.3513], qb:[0.6439, 0.9269], phi:[0.4293]] | 2*t^2.137 + t^2.165 + t^2.547 + t^2.576 + t^2.986 + t^3.014 + t^3.396 + t^3.424 + 3*t^4.273 + 2*t^4.302 + t^4.331 + 2*t^4.684 + 4*t^4.712 + t^4.741 + t^5.094 + 3*t^5.122 + 4*t^5.151 + t^5.18 + 3*t^5.532 + 4*t^5.561 + t^5.59 + t^5.943 + 2*t^5.971 - t^6. - t^4.288/y - t^4.288*y | detail | |
| 56485 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5997 | 0.7631 | 0.7859 | [X:[1.3442], M:[1.2698, 1.0372, 0.7302, 0.6558, 0.9628, 0.7302, 0.7721], q:[0.3279, 0.4023], qb:[0.6349, 0.9419], phi:[0.4233]] | 2*t^2.191 + t^2.316 + t^2.54 + t^2.888 + t^3.112 + t^3.237 + t^3.46 + t^4.032 + 3*t^4.381 + 2*t^4.507 + t^4.633 + 3*t^4.73 + t^4.856 + 3*t^5.079 + t^5.205 + 2*t^5.302 + 3*t^5.428 + t^5.554 + 2*t^5.651 + 2*t^5.777 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 56480 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5909 | 0.7517 | 0.786 | [M:[1.2801, 1.013, 0.7199, 0.6939, 0.987, 0.7199, 1.1466], q:[0.3469, 0.3729], qb:[0.6401, 0.9332], phi:[0.4267]] | t^2.082 + 2*t^2.16 + t^2.961 + t^3.039 + t^3.362 + 2*t^3.44 + t^3.518 + t^4.163 + 2*t^4.241 + 3*t^4.319 + t^4.72 + t^5.043 + 3*t^5.121 + 2*t^5.199 + t^5.443 + 3*t^5.521 + 4*t^5.599 + 2*t^5.677 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47192 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.5838 | 0.7365 | 0.7926 | [M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | t^2.055 + t^2.167 + t^2.555 + t^2.944 + t^3.056 + t^3.333 + t^3.445 + t^3.556 + t^3.833 + t^4.11 + t^4.222 + t^4.334 + t^4.61 + 2*t^4.722 + t^4.999 + 3*t^5.111 + t^5.223 + t^5.388 + 2*t^5.5 + 2*t^5.611 + t^5.723 + 2*t^5.888 - t^4.278/y - t^4.278*y | detail |