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 |
|---|---|---|---|---|---|---|---|---|---|
| 1457 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6945 | 0.8504 | 0.8167 | [M:[1.0, 0.9738, 1.0131, 0.9606, 1.0394, 0.9869], q:[0.5131, 0.4869], qb:[0.4738, 0.5525], phi:[0.4934]] | [M:[[0], [-4], [2], [-6], [6], [-2]], q:[[2], [-2]], qb:[[-4], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.882 + t^2.921 + 2*t^2.961 + t^3. + t^3.118 + t^3.197 + t^4.323 + t^4.362 + t^4.402 + t^4.441 + t^4.48 + 2*t^4.559 + t^4.598 + t^4.677 + t^4.795 + 3*t^5.843 + t^5.882 + 3*t^5.921 + t^5.961 - 2*t^6. + t^6.079 + 2*t^6.157 + t^6.315 + t^6.394 + t^7.205 + t^7.244 + 3*t^7.283 + 4*t^7.323 + t^7.362 + 2*t^7.402 + 2*t^7.441 + 4*t^7.52 + 3*t^7.559 - t^7.598 + t^7.638 + 2*t^7.677 + 3*t^7.756 + 2*t^7.795 - t^7.835 + t^7.874 + t^7.913 + t^7.992 + t^8.646 + t^8.685 + t^8.724 + 2*t^8.764 + 5*t^8.803 + t^8.843 + 3*t^8.882 - 4*t^8.961 - t^4.48/y - t^7.402/y - t^7.441/y + t^7.52/y + t^7.559/y + t^8.803/y + (2*t^8.843)/y + (3*t^8.882)/y + (2*t^8.921)/y + (2*t^8.961)/y - t^4.48*y - t^7.402*y - t^7.441*y + t^7.52*y + t^7.559*y + t^8.803*y + 2*t^8.843*y + 3*t^8.882*y + 2*t^8.921*y + 2*t^8.961*y | t^2.882/g1^6 + t^2.921/g1^4 + (2*t^2.961)/g1^2 + t^3. + g1^6*t^3.118 + g1^10*t^3.197 + t^4.323/g1^9 + t^4.362/g1^7 + t^4.402/g1^5 + t^4.441/g1^3 + t^4.48/g1 + 2*g1^3*t^4.559 + g1^5*t^4.598 + g1^9*t^4.677 + g1^15*t^4.795 + (3*t^5.843)/g1^8 + t^5.882/g1^6 + (3*t^5.921)/g1^4 + t^5.961/g1^2 - 2*t^6. + g1^4*t^6.079 + 2*g1^8*t^6.157 + g1^16*t^6.315 + g1^20*t^6.394 + t^7.205/g1^15 + t^7.244/g1^13 + (3*t^7.283)/g1^11 + (4*t^7.323)/g1^9 + t^7.362/g1^7 + (2*t^7.402)/g1^5 + (2*t^7.441)/g1^3 + 4*g1*t^7.52 + 3*g1^3*t^7.559 - g1^5*t^7.598 + g1^7*t^7.638 + 2*g1^9*t^7.677 + 3*g1^13*t^7.756 + 2*g1^15*t^7.795 - g1^17*t^7.835 + g1^19*t^7.874 + g1^21*t^7.913 + g1^25*t^7.992 + t^8.646/g1^18 + t^8.685/g1^16 + t^8.724/g1^14 + (2*t^8.764)/g1^12 + (5*t^8.803)/g1^10 + t^8.843/g1^8 + (3*t^8.882)/g1^6 - (4*t^8.961)/g1^2 - t^4.48/(g1*y) - t^7.402/(g1^5*y) - t^7.441/(g1^3*y) + (g1*t^7.52)/y + (g1^3*t^7.559)/y + t^8.803/(g1^10*y) + (2*t^8.843)/(g1^8*y) + (3*t^8.882)/(g1^6*y) + (2*t^8.921)/(g1^4*y) + (2*t^8.961)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.402*y)/g1^5 - (t^7.441*y)/g1^3 + g1*t^7.52*y + g1^3*t^7.559*y + (t^8.803*y)/g1^10 + (2*t^8.843*y)/g1^8 + (3*t^8.882*y)/g1^6 + (2*t^8.921*y)/g1^4 + (2*t^8.961*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6993 | 0.8588 | 0.8143 | [M:[1.0, 0.9582, 1.0209, 0.9372, 1.0628, 0.9791, 0.9372], q:[0.5209, 0.4791], qb:[0.4582, 0.5837], phi:[0.4895]] | 2*t^2.812 + t^2.874 + 2*t^2.937 + t^3. + t^3.314 + t^4.218 + t^4.28 + t^4.343 + t^4.406 + t^4.469 + 2*t^4.594 + t^4.657 + t^4.782 + t^4.971 + 2*t^5.623 + t^5.686 + 5*t^5.749 + 2*t^5.812 + 3*t^5.874 + t^5.937 - 3*t^6. - t^4.469/y - t^4.469*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 |
|---|---|---|---|---|---|---|---|---|---|
| 945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6934 | 0.8487 | 0.8171 | [M:[1.0, 0.979, 1.0105, 0.9685, 1.0315], q:[0.5105, 0.4895], qb:[0.479, 0.542], phi:[0.4948]] | t^2.906 + t^2.937 + t^2.969 + t^3. + t^3.031 + t^3.094 + t^3.157 + t^4.358 + t^4.39 + t^4.421 + t^4.453 + t^4.484 + 2*t^4.547 + t^4.579 + t^4.642 + t^4.736 + 2*t^5.874 + 2*t^5.937 + t^5.969 - t^6. - t^4.484/y - t^4.484*y | detail |