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 |
|---|---|---|---|---|---|---|---|---|---|
| 918 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.7194 | 0.8833 | 0.8145 | [M:[1.0, 0.8377, 0.8377, 1.0, 1.0], q:[0.5812, 0.4188], qb:[0.5812, 0.5812], phi:[0.4594]] | [M:[[0], [-4], [-4], [0], [0]], q:[[2], [-2]], qb:[[2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | -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 | (2*t^2.513)/g1^4 + t^2.757/g1^2 + 3*t^3. + g1^4*t^3.487 + t^3.891/g1^5 + (3*t^4.378)/g1 + 6*g1^3*t^4.865 + (3*t^5.026)/g1^8 + (2*t^5.27)/g1^6 + (4*t^5.513)/g1^4 + (3*t^5.757)/g1^2 - 2*t^6. + g1^2*t^6.243 + (2*t^6.404)/g1^9 - g1^4*t^6.487 + t^6.648/g1^7 + (6*t^6.891)/g1^5 + g1^8*t^6.974 + (2*t^7.135)/g1^3 + (10*t^7.378)/g1 + (4*t^7.539)/g1^12 + 3*g1*t^7.622 + (4*t^7.783)/g1^10 + 9*g1^3*t^7.865 + (5*t^8.026)/g1^8 - 6*g1^5*t^8.109 + (7*t^8.27)/g1^6 + 3*g1^7*t^8.352 - (5*t^8.513)/g1^4 + (4*t^8.757)/g1^2 + (3*t^8.917)/g1^13 - t^4.378/(g1*y) - (2*t^6.891)/(g1^5*y) - t^7.135/(g1^3*y) + (g1*t^7.622)/y + (2*g1^3*t^7.865)/y + t^8.026/(g1^8*y) + (2*t^8.27)/(g1^6*y) + (6*t^8.513)/(g1^4*y) + (3*t^8.757)/(g1^2*y) - (t^4.378*y)/g1 - (2*t^6.891*y)/g1^5 - (t^7.135*y)/g1^3 + g1*t^7.622*y + 2*g1^3*t^7.865*y + (t^8.026*y)/g1^8 + (2*t^8.27*y)/g1^6 + (6*t^8.513*y)/g1^4 + (3*t^8.757*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 |
|---|---|---|---|---|---|---|---|---|
| 1406 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.74 | 0.9227 | 0.802 | [M:[1.0, 0.8456, 0.8456, 1.0, 1.0, 0.693], q:[0.5772, 0.4228], qb:[0.5772, 0.5772], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |