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 |
|---|---|---|---|---|---|---|---|---|---|
| 2702 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5957 | 0.7565 | 0.7874 | [M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | [M:[[14], [-22], [-14], [6], [-6], [-14], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.091 + t^2.157 + t^2.562 + t^2.628 + 2*t^2.967 + t^3.438 + t^3.504 + t^3.843 + t^4.182 + t^4.248 + t^4.314 + t^4.653 + 3*t^4.719 + t^4.785 + 2*t^5.058 + 3*t^5.124 + t^5.19 + t^5.256 + 2*t^5.529 + 3*t^5.595 + t^5.661 + 3*t^5.934 - t^6. + t^6.066 + t^6.133 + t^6.272 + t^6.339 + 2*t^6.405 + 2*t^6.471 + t^6.744 + 3*t^6.81 + t^6.942 + t^7.009 + 2*t^7.148 + 2*t^7.215 + 3*t^7.281 + 2*t^7.347 + t^7.414 + 2*t^7.62 + 6*t^7.686 + 2*t^7.752 + 2*t^7.818 + t^7.885 + 3*t^8.024 + t^8.091 - t^8.157 + 3*t^8.223 + t^8.29 + t^8.363 + t^8.429 + 2*t^8.496 + 2*t^8.562 - t^8.628 + t^8.695 + t^8.761 + t^8.834 + 5*t^8.901 - 4*t^8.967 - t^4.281/y - t^6.372/y - t^6.843/y - t^6.909/y + t^7.314/y + (2*t^7.653)/y + (3*t^7.719)/y + t^7.785/y + (2*t^8.058)/y + (2*t^8.124)/y + (2*t^8.19)/y - t^8.463/y + (3*t^8.529)/y + (4*t^8.595)/y + t^8.661/y + t^8.934/y - t^4.281*y - t^6.372*y - t^6.843*y - t^6.909*y + t^7.314*y + 2*t^7.653*y + 3*t^7.719*y + t^7.785*y + 2*t^8.058*y + 2*t^8.124*y + 2*t^8.19*y - t^8.463*y + 3*t^8.529*y + 4*t^8.595*y + t^8.661*y + t^8.934*y | t^2.091/g1^22 + g1^6*t^2.157 + t^2.562/g1^4 + g1^24*t^2.628 + (2*t^2.967)/g1^14 + g1^4*t^3.438 + g1^32*t^3.504 + t^3.843/g1^6 + t^4.182/g1^44 + t^4.248/g1^16 + g1^12*t^4.314 + t^4.653/g1^26 + 3*g1^2*t^4.719 + g1^30*t^4.785 + (2*t^5.058)/g1^36 + (3*t^5.124)/g1^8 + g1^20*t^5.19 + g1^48*t^5.256 + (2*t^5.529)/g1^18 + 3*g1^10*t^5.595 + g1^38*t^5.661 + (3*t^5.934)/g1^28 - t^6. + g1^28*t^6.066 + g1^56*t^6.133 + t^6.272/g1^66 + t^6.339/g1^38 + (2*t^6.405)/g1^10 + 2*g1^18*t^6.471 + t^6.744/g1^48 + (3*t^6.81)/g1^20 + g1^36*t^6.942 + g1^64*t^7.009 + (2*t^7.148)/g1^58 + (2*t^7.215)/g1^30 + (3*t^7.281)/g1^2 + 2*g1^26*t^7.347 + g1^54*t^7.414 + (2*t^7.62)/g1^40 + (6*t^7.686)/g1^12 + 2*g1^16*t^7.752 + 2*g1^44*t^7.818 + g1^72*t^7.885 + (3*t^8.024)/g1^50 + t^8.091/g1^22 - g1^6*t^8.157 + 3*g1^34*t^8.223 + g1^62*t^8.29 + t^8.363/g1^88 + t^8.429/g1^60 + (2*t^8.496)/g1^32 + (2*t^8.562)/g1^4 - g1^24*t^8.628 + g1^52*t^8.695 + g1^80*t^8.761 + t^8.834/g1^70 + (5*t^8.901)/g1^42 - (4*t^8.967)/g1^14 - t^4.281/(g1^2*y) - t^6.372/(g1^24*y) - t^6.843/(g1^6*y) - (g1^22*t^6.909)/y + (g1^12*t^7.314)/y + (2*t^7.653)/(g1^26*y) + (3*g1^2*t^7.719)/y + (g1^30*t^7.785)/y + (2*t^8.058)/(g1^36*y) + (2*t^8.124)/(g1^8*y) + (2*g1^20*t^8.19)/y - t^8.463/(g1^46*y) + (3*t^8.529)/(g1^18*y) + (4*g1^10*t^8.595)/y + (g1^38*t^8.661)/y + t^8.934/(g1^28*y) - (t^4.281*y)/g1^2 - (t^6.372*y)/g1^24 - (t^6.843*y)/g1^6 - g1^22*t^6.909*y + g1^12*t^7.314*y + (2*t^7.653*y)/g1^26 + 3*g1^2*t^7.719*y + g1^30*t^7.785*y + (2*t^8.058*y)/g1^36 + (2*t^8.124*y)/g1^8 + 2*g1^20*t^8.19*y - (t^8.463*y)/g1^46 + (3*t^8.529*y)/g1^18 + 4*g1^10*t^8.595*y + g1^38*t^8.661*y + (t^8.934*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4879 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.6158 | 0.7942 | 0.7754 | [M:[1.0093, 0.6997, 0.9907, 0.7183, 1.2817, 0.9907, 0.8731, 0.7183], q:[0.6409, 0.3498], qb:[0.3684, 0.9319], phi:[0.4272]] | t^2.099 + 2*t^2.155 + t^2.563 + t^2.619 + 2*t^2.972 + t^3.437 + t^3.492 + t^4.198 + 2*t^4.254 + 3*t^4.31 + t^4.663 + 4*t^4.718 + 2*t^4.774 + 2*t^5.071 + 5*t^5.127 + t^5.183 + t^5.238 + 2*t^5.536 + 4*t^5.591 + 2*t^5.647 + 2*t^5.944 - 2*t^6. - t^4.282/y - t^4.282*y | detail | |
| 4877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6085 | 0.7786 | 0.7816 | [M:[1.0144, 0.6917, 0.9856, 0.7204, 1.2796, 0.9856, 0.8818, 0.853], q:[0.6398, 0.3459], qb:[0.3746, 0.9337], phi:[0.4265]] | t^2.075 + t^2.161 + 2*t^2.559 + t^2.645 + 2*t^2.957 + t^3.527 + t^3.839 + t^4.15 + t^4.236 + t^4.323 + 2*t^4.634 + 4*t^4.72 + t^4.807 + 2*t^5.032 + 5*t^5.118 + 2*t^5.204 + t^5.291 + 3*t^5.516 + 2*t^5.602 + t^5.688 + 3*t^5.914 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 4878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.5909 | 0.7443 | 0.7939 | [X:[1.3339], M:[1.0307, 0.6661, 0.9693, 0.7274, 1.2726, 0.9693, 0.9097, 0.787], q:[0.6363, 0.333], qb:[0.3944, 0.9395], phi:[0.4242]] | t^2.182 + t^2.361 + t^2.545 + t^2.729 + 2*t^2.908 + t^3.455 + t^3.818 + t^4.002 + t^4.365 + t^4.543 + t^4.722 + 2*t^4.727 + t^4.906 + t^4.912 + 4*t^5.09 + 2*t^5.269 + t^5.274 + t^5.453 + t^5.458 + 2*t^5.637 + 3*t^5.816 - t^6. - t^4.273/y - t^4.273*y | detail | |
| 4876 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.5829 | 0.7346 | 0.7935 | [M:[1.0077, 0.7021, 0.9923, 0.7176, 1.2824, 0.9923, 0.8704, 1.1451], q:[0.6412, 0.3511], qb:[0.3665, 0.9313], phi:[0.4275]] | t^2.106 + t^2.153 + t^2.611 + 2*t^2.977 + 2*t^3.435 + t^3.482 + t^3.847 + t^4.213 + t^4.259 + t^4.306 + 2*t^4.718 + t^4.764 + 2*t^5.083 + 2*t^5.13 + t^5.222 + t^5.542 + 4*t^5.588 + t^5.634 + 3*t^5.954 - 2*t^6. - t^4.282/y - t^4.282*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1569 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7289 | 0.9135 | 0.7979 | [M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]] | t^2.008 + t^2.551 + 2*t^2.785 + t^2.883 + t^2.98 + t^3.02 + t^3.255 + t^4.016 + t^4.227 + t^4.421 + 2*t^4.461 + t^4.559 + t^4.656 + t^4.696 + 2*t^4.793 + t^4.851 + 2*t^4.891 + t^4.931 + t^4.988 + t^5.028 + t^5.101 + t^5.263 + 2*t^5.336 + t^5.433 + 3*t^5.571 + 2*t^5.668 + t^5.765 + 2*t^5.805 + t^5.863 + t^5.903 - 3*t^6. - t^4.441/y - t^4.441*y | detail |