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 |
|---|---|---|---|---|---|---|---|---|---|
| 46581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | [M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -2 | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. + t^6.243 + 2*t^6.404 - t^6.487 + t^6.648 + 6*t^6.891 + t^6.974 + 2*t^7.135 + 10*t^7.378 + 4*t^7.539 + 3*t^7.622 + 4*t^7.783 + 9*t^7.865 + 5*t^8.026 - 6*t^8.109 + 7*t^8.27 + 3*t^8.352 - 5*t^8.513 + 4*t^8.757 + 3*t^8.917 - t^4.378/y - (2*t^6.891)/y - t^7.135/y + t^7.622/y + (2*t^7.865)/y + t^8.026/y + (2*t^8.27)/y + (6*t^8.513)/y + (3*t^8.757)/y - t^4.378*y - 2*t^6.891*y - t^7.135*y + t^7.622*y + 2*t^7.865*y + t^8.026*y + 2*t^8.27*y + 6*t^8.513*y + 3*t^8.757*y | (g2^2*t^2.513)/g1 + g1*g2^6*t^2.513 + g2^2*t^2.757 + t^3. + t^3./(g1*g2^2) + g1*g2^2*t^3. + t^3.487/g2^4 + g2^5*t^3.891 + t^4.378/(g1*g2) + g2*t^4.378 + g1*g2^3*t^4.378 + t^4.865/(g1^2*g2^7) + t^4.865/(g1*g2^5) + (2*t^4.865)/g2^3 + (g1*t^4.865)/g2 + g1^2*g2*t^4.865 + (g2^4*t^5.026)/g1^2 + g2^8*t^5.026 + g1^2*g2^12*t^5.026 + (g2^4*t^5.27)/g1 + g1*g2^8*t^5.27 + t^5.513/g1^2 + 2*g2^4*t^5.513 + g1^2*g2^8*t^5.513 + t^5.757/g1 + g2^2*t^5.757 + g1*g2^4*t^5.757 - 2*t^6. + t^6.243/g2^2 + (g2^7*t^6.404)/g1 + g1*g2^11*t^6.404 - t^6.487/g2^4 + g2^7*t^6.648 + (g2*t^6.891)/g1^2 + (g2^3*t^6.891)/g1 + 2*g2^5*t^6.891 + g1*g2^7*t^6.891 + g1^2*g2^9*t^6.891 + t^6.974/g2^8 + (g2*t^7.135)/g1 + g1*g2^5*t^7.135 + t^7.378/(g1^3*g2^5) + t^7.378/(g1^2*g2^3) + (2*t^7.378)/(g1*g2) + 2*g2*t^7.378 + 2*g1*g2^3*t^7.378 + g1^2*g2^5*t^7.378 + g1^3*g2^7*t^7.378 + (g2^6*t^7.539)/g1^3 + (g2^10*t^7.539)/g1 + g1*g2^14*t^7.539 + g1^3*g2^18*t^7.539 + t^7.622/(g1^2*g2^5) + t^7.622/g2 + g1^2*g2^3*t^7.622 + (g2^6*t^7.783)/g1^2 + 2*g2^10*t^7.783 + g1^2*g2^14*t^7.783 + t^7.865/(g1^3*g2^9) + t^7.865/(g1^2*g2^7) + (2*t^7.865)/(g1*g2^5) + t^7.865/g2^3 + (2*g1*t^7.865)/g2 + g1^2*g2*t^7.865 + g1^3*g2^3*t^7.865 + (g2^2*t^8.026)/g1^3 + (2*g2^6*t^8.026)/g1 - g2^8*t^8.026 + 2*g1*g2^10*t^8.026 + g1^3*g2^14*t^8.026 - t^8.109/(g1^2*g2^9) - t^8.109/(g1*g2^7) - (2*t^8.109)/g2^5 - (g1*t^8.109)/g2^3 - (g1^2*t^8.109)/g2 + (g2^2*t^8.27)/g1^2 + (g2^4*t^8.27)/g1 + 3*g2^6*t^8.27 + g1*g2^8*t^8.27 + g1^2*g2^10*t^8.27 + t^8.352/(g1^2*g2^11) + t^8.352/g2^7 + (g1^2*t^8.352)/g2^3 - (2*g2^2*t^8.513)/g1 - g2^4*t^8.513 - 2*g1*g2^6*t^8.513 + t^8.757/g1 + t^8.757/(g1^2*g2^2) + g1*g2^4*t^8.757 + g1^2*g2^6*t^8.757 + (g2^9*t^8.917)/g1^2 + g2^13*t^8.917 + g1^2*g2^17*t^8.917 - (g2*t^4.378)/y - (g2^3*t^6.891)/(g1*y) - (g1*g2^7*t^6.891)/y - (g2^3*t^7.135)/y + t^7.622/(g2*y) + t^7.865/(g1*g2^5*y) + (g1*t^7.865)/(g2*y) + (g2^8*t^8.026)/y + (g2^4*t^8.27)/(g1*y) + (g1*g2^8*t^8.27)/y + t^8.513/(g1^2*y) + (g2^2*t^8.513)/(g1*y) + (2*g2^4*t^8.513)/y + (g1*g2^6*t^8.513)/y + (g1^2*g2^8*t^8.513)/y + t^8.757/(g1*y) + (g2^2*t^8.757)/y + (g1*g2^4*t^8.757)/y - g2*t^4.378*y - (g2^3*t^6.891*y)/g1 - g1*g2^7*t^6.891*y - g2^3*t^7.135*y + (t^7.622*y)/g2 + (t^7.865*y)/(g1*g2^5) + (g1*t^7.865*y)/g2 + g2^8*t^8.026*y + (g2^4*t^8.27*y)/g1 + g1*g2^8*t^8.27*y + (t^8.513*y)/g1^2 + (g2^2*t^8.513*y)/g1 + 2*g2^4*t^8.513*y + g1*g2^6*t^8.513*y + g1^2*g2^8*t^8.513*y + (t^8.757*y)/g1 + g2^2*t^8.757*y + g1*g2^4*t^8.757*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 |
|---|---|---|---|---|---|---|---|---|
| 47289 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}^{2}$ | 0.702 | 0.8612 | 0.8151 | [M:[0.874, 1.0, 1.063, 0.937, 1.0], q:[0.5315, 0.5945], qb:[0.4685, 0.4685], phi:[0.4843]] | t^2.622 + t^2.811 + t^2.906 + 2*t^3. + 2*t^3.189 + 3*t^4.264 + 2*t^4.453 + 3*t^4.642 + t^4.831 + t^5.02 + t^5.244 + t^5.433 + t^5.528 + t^5.622 + t^5.717 + 2*t^5.811 + 2*t^5.906 - t^6. - t^4.453/y - t^4.453*y | detail | |
| 47096 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7114 | 0.8731 | 0.8147 | [M:[0.8238, 0.9413, 1.0587, 0.9413, 1.0], q:[0.5587, 0.6175], qb:[0.5, 0.4413], phi:[0.4706]] | t^2.471 + 3*t^2.824 + t^3. + t^3.176 + t^3.352 + t^4.059 + t^4.236 + 2*t^4.412 + 2*t^4.588 + 2*t^4.764 + t^4.941 + t^4.943 + t^5.117 + 3*t^5.295 + 5*t^5.648 + t^5.824 - t^4.412/y - t^4.412*y | detail | |
| 48147 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7207 | 0.8863 | 0.8132 | [M:[0.8653, 0.8101, 0.9724, 1.0276, 1.0, 0.9724], q:[0.5812, 0.5536], qb:[0.6087, 0.4188], phi:[0.4594]] | t^2.43 + t^2.596 + t^2.757 + 2*t^2.917 + t^3. + t^3.487 + t^3.891 + t^4.295 + t^4.378 + t^4.461 + t^4.7 + t^4.782 + t^4.861 + 2*t^4.865 + t^4.948 + t^5.026 + t^5.031 + t^5.187 + t^5.192 + 2*t^5.348 + t^5.352 + 2*t^5.513 + 2*t^5.674 + t^5.757 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.378/y - t^4.378*y | detail | |
| 48166 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.74 | 0.9227 | 0.802 | [M:[0.8456, 0.8456, 1.0, 1.0, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.5772, 0.4228], phi:[0.4614]] | t^2.079 + 2*t^2.537 + t^2.768 + 3*t^3. + t^3.463 + t^4.158 + 3*t^4.384 + 2*t^4.616 + 7*t^4.847 + 3*t^5.073 + 3*t^5.079 + 2*t^5.305 + 4*t^5.537 + t^5.542 + 3*t^5.768 - 2*t^6. - t^4.384/y - t^4.384*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46324 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |