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 |
|---|---|---|---|---|---|---|---|---|---|
| 4766 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6702 | 0.8321 | 0.8054 | [M:[1.0445, 0.7728, 0.9766, 0.8408, 1.1592, 0.7728, 1.0234, 1.0913], q:[0.5691, 0.3864], qb:[0.4543, 0.7728], phi:[0.4543]] | [M:[[-18], [2], [-13], [-3], [3], [2], [13], [8]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{8}$ | ${}$ | -2 | 2*t^2.318 + t^2.522 + t^3.07 + t^3.134 + t^3.274 + t^3.478 + t^3.885 + t^4.026 + t^4.089 + t^4.229 + t^4.433 + 3*t^4.637 + t^4.777 + 2*t^4.841 + t^5.045 + 2*t^5.389 + t^5.452 + 3*t^5.592 + 2*t^5.796 - 2*t^6. + t^6.14 + t^6.204 + t^6.267 + 2*t^6.344 + 3*t^6.408 + 3*t^6.548 + t^6.611 + 2*t^6.752 - t^6.815 + 4*t^6.955 + 3*t^7.096 + 3*t^7.159 + t^7.223 + 2*t^7.3 + t^7.363 + 2*t^7.503 + t^7.567 + 2*t^7.707 + t^7.771 + t^7.848 + 5*t^7.911 + t^8.051 + 3*t^8.115 + t^8.178 + t^8.255 - 4*t^8.318 + 2*t^8.459 - t^8.522 + 2*t^8.586 + 4*t^8.663 + 2*t^8.726 + t^8.803 + 5*t^8.866 + t^8.93 - t^4.363/y - (2*t^6.682)/y + t^7.229/y - t^7.497/y + t^7.637/y + (2*t^7.841)/y + (2*t^8.045)/y + (2*t^8.389)/y + (2*t^8.452)/y + (3*t^8.592)/y + t^8.656/y + (3*t^8.796)/y - t^4.363*y - 2*t^6.682*y + t^7.229*y - t^7.497*y + t^7.637*y + 2*t^7.841*y + 2*t^8.045*y + 2*t^8.389*y + 2*t^8.452*y + 3*t^8.592*y + t^8.656*y + 3*t^8.796*y | 2*g1^2*t^2.318 + t^2.522/g1^3 + g1^13*t^3.07 + t^3.134/g1^18 + g1^8*t^3.274 + g1^3*t^3.478 + t^3.885/g1^7 + g1^19*t^4.026 + t^4.089/g1^12 + g1^14*t^4.229 + g1^9*t^4.433 + 3*g1^4*t^4.637 + g1^30*t^4.777 + (2*t^4.841)/g1 + t^5.045/g1^6 + 2*g1^15*t^5.389 + t^5.452/g1^16 + 3*g1^10*t^5.592 + 2*g1^5*t^5.796 - 2*t^6. + g1^26*t^6.14 + t^6.204/g1^5 + t^6.267/g1^36 + 2*g1^21*t^6.344 + (3*t^6.408)/g1^10 + 3*g1^16*t^6.548 + t^6.611/g1^15 + 2*g1^11*t^6.752 - t^6.815/g1^20 + 4*g1^6*t^6.955 + 3*g1^32*t^7.096 + 3*g1*t^7.159 + t^7.223/g1^30 + 2*g1^27*t^7.3 + t^7.363/g1^4 + 2*g1^22*t^7.503 + t^7.567/g1^9 + 2*g1^17*t^7.707 + t^7.771/g1^14 + g1^43*t^7.848 + 5*g1^12*t^7.911 + g1^38*t^8.051 + 3*g1^7*t^8.115 + t^8.178/g1^24 + g1^33*t^8.255 - 4*g1^2*t^8.318 + 2*g1^28*t^8.459 - t^8.522/g1^3 + (2*t^8.586)/g1^34 + 4*g1^23*t^8.663 + (2*t^8.726)/g1^8 + g1^49*t^8.803 + 5*g1^18*t^8.866 + t^8.93/g1^13 - t^4.363/(g1^4*y) - (2*t^6.682)/(g1^2*y) + (g1^14*t^7.229)/y - t^7.497/(g1^22*y) + (g1^4*t^7.637)/y + (2*t^7.841)/(g1*y) + (2*t^8.045)/(g1^6*y) + (2*g1^15*t^8.389)/y + (2*t^8.452)/(g1^16*y) + (3*g1^10*t^8.592)/y + t^8.656/(g1^21*y) + (3*g1^5*t^8.796)/y - (t^4.363*y)/g1^4 - (2*t^6.682*y)/g1^2 + g1^14*t^7.229*y - (t^7.497*y)/g1^22 + g1^4*t^7.637*y + (2*t^7.841*y)/g1 + (2*t^8.045*y)/g1^6 + 2*g1^15*t^8.389*y + (2*t^8.452*y)/g1^16 + 3*g1^10*t^8.592*y + (t^8.656*y)/g1^21 + 3*g1^5*t^8.796*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 |
|---|---|---|---|---|---|---|---|---|
| 6369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{5}M_{9}$ | 0.684 | 0.8556 | 0.7995 | [M:[1.0362, 0.7738, 0.9706, 0.8394, 1.1606, 0.7738, 1.0294, 1.095, 0.8394], q:[0.5769, 0.3869], qb:[0.4525, 0.7738], phi:[0.4525]] | 2*t^2.321 + 2*t^2.518 + t^3.088 + t^3.109 + t^3.285 + t^3.876 + t^4.052 + t^4.072 + t^4.249 + t^4.446 + 3*t^4.643 + t^4.819 + 4*t^4.839 + 3*t^5.036 + 2*t^5.41 + t^5.43 + 4*t^5.606 + t^5.627 + t^5.803 - 3*t^6. - t^4.357/y - t^4.357*y | detail | |
| 6370 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6907 | 0.8714 | 0.7926 | [M:[1.0497, 0.7723, 0.9803, 0.8416, 1.1584, 0.7723, 1.0197, 1.089, 0.7029], q:[0.5642, 0.3861], qb:[0.4555, 0.7723], phi:[0.4555]] | t^2.109 + 2*t^2.317 + t^2.525 + t^3.059 + t^3.149 + t^3.267 + t^3.475 + t^4.009 + t^4.099 + 2*t^4.217 + 3*t^4.425 + 4*t^4.634 + t^4.752 + 2*t^4.842 + t^5.05 + t^5.168 + t^5.258 + 3*t^5.376 + t^5.466 + 4*t^5.584 + 2*t^5.792 - 2*t^6. - t^4.366/y - t^4.366*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2640 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6791 | 0.8461 | 0.8026 | [M:[1.0181, 0.7758, 0.9575, 0.8364, 1.1636, 0.7758, 1.0425], q:[0.594, 0.3879], qb:[0.4485, 0.7758], phi:[0.4485]] | 2*t^2.327 + t^2.509 + t^2.691 + t^3.054 + t^3.127 + t^3.491 + t^3.854 + t^4.036 + t^4.109 + t^4.291 + t^4.473 + 3*t^4.655 + 2*t^4.836 + t^4.909 + 3*t^5.018 + t^5.2 + 2*t^5.382 + 2*t^5.455 + t^5.636 + t^5.745 + 2*t^5.818 - 2*t^6. - t^4.345/y - t^4.345*y | detail |