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 |
|---|---|---|---|---|---|---|---|---|---|
| 2651 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6814 | 0.8529 | 0.7989 | [M:[1.0367, 0.7681, 0.9633, 0.8416, 1.1584, 0.7072, 1.0367], q:[0.5792, 0.384], qb:[0.4575, 0.7744], phi:[0.4512]] | [M:[[22], [-30], [-22], [14], [-14], [-12], [22]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.122 + t^2.304 + t^2.525 + t^2.707 + 2*t^3.11 + t^3.475 + t^3.658 + t^4.061 + t^4.099 + 2*t^4.243 + t^4.426 + t^4.464 + t^4.608 + t^4.646 + 3*t^4.829 + t^5.011 + t^5.049 + 3*t^5.232 + 2*t^5.414 + t^5.597 + t^5.635 + t^5.78 + 2*t^5.817 + t^5.962 - 2*t^6. + 2*t^6.183 + 3*t^6.22 + 3*t^6.365 + 2*t^6.548 + t^6.586 + t^6.623 + t^6.73 + 3*t^6.768 + t^6.806 + t^6.913 + 3*t^6.951 - t^6.989 + 3*t^7.133 + 2*t^7.171 + 2*t^7.209 + 2*t^7.316 + 3*t^7.354 - t^7.392 + 4*t^7.536 + 2*t^7.574 + 3*t^7.719 + t^7.757 + 2*t^7.901 + 3*t^7.939 + t^8.084 - t^8.122 + t^8.16 + t^8.198 + t^8.266 + 3*t^8.342 + 4*t^8.487 + t^8.525 + t^8.563 + 3*t^8.669 - 2*t^8.707 + t^8.745 + 2*t^8.852 + 2*t^8.89 + 4*t^8.928 - t^4.354/y - t^6.475/y - t^6.658/y - t^7.061/y + t^7.243/y + t^7.426/y - t^7.464/y + (2*t^7.646)/y + (2*t^7.829)/y + t^8.011/y + t^8.049/y + (4*t^8.232)/y + (2*t^8.414)/y + (2*t^8.635)/y + t^8.78/y + (2*t^8.817)/y - t^4.354*y - t^6.475*y - t^6.658*y - t^7.061*y + t^7.243*y + t^7.426*y - t^7.464*y + 2*t^7.646*y + 2*t^7.829*y + t^8.011*y + t^8.049*y + 4*t^8.232*y + 2*t^8.414*y + 2*t^8.635*y + t^8.78*y + 2*t^8.817*y | t^2.122/g1^12 + t^2.304/g1^30 + g1^14*t^2.525 + t^2.707/g1^4 + 2*g1^22*t^3.11 + t^3.475/g1^14 + t^3.658/g1^32 + t^4.061/g1^6 + g1^56*t^4.099 + (2*t^4.243)/g1^24 + t^4.426/g1^42 + g1^20*t^4.464 + t^4.608/g1^60 + g1^2*t^4.646 + (3*t^4.829)/g1^16 + t^5.011/g1^34 + g1^28*t^5.049 + 3*g1^10*t^5.232 + (2*t^5.414)/g1^8 + t^5.597/g1^26 + g1^36*t^5.635 + t^5.78/g1^44 + 2*g1^18*t^5.817 + t^5.962/g1^62 - 2*t^6. + (2*t^6.183)/g1^18 + 3*g1^44*t^6.22 + (3*t^6.365)/g1^36 + (2*t^6.548)/g1^54 + g1^8*t^6.586 + g1^70*t^6.623 + t^6.73/g1^72 + (3*t^6.768)/g1^10 + g1^52*t^6.806 + t^6.913/g1^90 + (3*t^6.951)/g1^28 - g1^34*t^6.989 + (3*t^7.133)/g1^46 + 2*g1^16*t^7.171 + 2*g1^78*t^7.209 + (2*t^7.316)/g1^64 + (3*t^7.354)/g1^2 - g1^60*t^7.392 + (4*t^7.536)/g1^20 + 2*g1^42*t^7.574 + (3*t^7.719)/g1^38 + g1^24*t^7.757 + (2*t^7.901)/g1^56 + 3*g1^6*t^7.939 + t^8.084/g1^74 - t^8.122/g1^12 + g1^50*t^8.16 + g1^112*t^8.198 + t^8.266/g1^92 + 3*g1^32*t^8.342 + (4*t^8.487)/g1^48 + g1^14*t^8.525 + g1^76*t^8.563 + (3*t^8.669)/g1^66 - (2*t^8.707)/g1^4 + g1^58*t^8.745 + (2*t^8.852)/g1^84 + (2*t^8.89)/g1^22 + 4*g1^40*t^8.928 - t^4.354/(g1^2*y) - t^6.475/(g1^14*y) - t^6.658/(g1^32*y) - t^7.061/(g1^6*y) + t^7.243/(g1^24*y) + t^7.426/(g1^42*y) - (g1^20*t^7.464)/y + (2*g1^2*t^7.646)/y + (2*t^7.829)/(g1^16*y) + t^8.011/(g1^34*y) + (g1^28*t^8.049)/y + (4*g1^10*t^8.232)/y + (2*t^8.414)/(g1^8*y) + (2*g1^36*t^8.635)/y + t^8.78/(g1^44*y) + (2*g1^18*t^8.817)/y - (t^4.354*y)/g1^2 - (t^6.475*y)/g1^14 - (t^6.658*y)/g1^32 - (t^7.061*y)/g1^6 + (t^7.243*y)/g1^24 + (t^7.426*y)/g1^42 - g1^20*t^7.464*y + 2*g1^2*t^7.646*y + (2*t^7.829*y)/g1^16 + (t^8.011*y)/g1^34 + g1^28*t^8.049*y + 4*g1^10*t^8.232*y + (2*t^8.414*y)/g1^8 + 2*g1^36*t^8.635*y + (t^8.78*y)/g1^44 + 2*g1^18*t^8.817*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 |
|---|---|---|---|---|---|---|---|---|
| 4793 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6953 | 0.8768 | 0.793 | [M:[1.028, 0.7801, 0.972, 0.836, 1.164, 0.712, 1.028, 0.836], q:[0.582, 0.39], qb:[0.4459, 0.774], phi:[0.452]] | t^2.136 + t^2.34 + 2*t^2.508 + t^2.712 + 2*t^3.084 + t^3.696 + t^4.032 + t^4.068 + 2*t^4.272 + t^4.44 + t^4.476 + 2*t^4.644 + t^4.68 + 4*t^4.848 + 3*t^5.016 + t^5.052 + 4*t^5.22 + 2*t^5.424 + 3*t^5.592 + 2*t^5.796 - 3*t^6. - t^4.356/y - t^4.356*y | detail | |
| 4794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6995 | 0.8855 | 0.7899 | [M:[1.0238, 0.7857, 0.9762, 0.8333, 1.1667, 0.7143, 1.0238, 0.7619], q:[0.5833, 0.3929], qb:[0.4404, 0.7738], phi:[0.4524]] | t^2.143 + t^2.286 + t^2.357 + t^2.5 + t^2.714 + 2*t^3.071 + t^3.5 + t^4. + t^4.071 + 2*t^4.286 + 2*t^4.429 + t^4.5 + t^4.571 + 2*t^4.643 + t^4.714 + t^4.786 + 3*t^4.857 + 2*t^5. + t^5.072 + 3*t^5.214 + 2*t^5.357 + 2*t^5.429 + t^5.571 + t^5.643 + 3*t^5.786 - 2*t^6. - t^4.357/y - t^4.357*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6856 | 0.861 | 0.7963 | [M:[1.0546, 0.7437, 0.9454, 0.853, 1.147, 0.6975], q:[0.5735, 0.3718], qb:[0.4811, 0.7752], phi:[0.4496]] | t^2.092 + t^2.231 + t^2.559 + t^2.697 + t^2.836 + t^3.164 + t^3.441 + t^3.58 + t^4.046 + 2*t^4.185 + t^4.236 + t^4.323 + t^4.462 + t^4.513 + t^4.651 + 3*t^4.79 + 2*t^4.928 + t^5.067 + t^5.118 + 2*t^5.256 + 2*t^5.395 + 2*t^5.534 + 2*t^5.672 + t^5.811 + t^5.861 - t^6. - t^4.349/y - t^4.349*y | detail |