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 |
|---|---|---|---|---|---|---|---|---|---|
| 17 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | [X:[[0, 2]], M:[[2, -7], [-2, 1], [0, -3]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$ | ${}$ | -4 | 3*t^2.111 + t^3.185 + 6*t^4.223 + t^4.592 + 3*t^5.296 - 4*t^6. + 10*t^6.334 + t^6.369 + 6*t^7.408 - 11*t^8.111 + 15*t^8.446 - 6*t^8.815 - (3*t^8.815)/y^2 - t^3.704/y - (3*t^5.815)/y + (3*t^7.223)/y + (3*t^7.592)/y - (6*t^7.927)/y + (3*t^8.296)/y - t^3.704*y - 3*t^5.815*y + 3*t^7.223*y + 3*t^7.592*y - 6*t^7.927*y + 3*t^8.296*y - 3*t^8.815*y^2 | (g1^2*t^2.111)/g2^7 + t^2.111/g2^3 + (g2*t^2.111)/g1^2 + g2^4*t^3.185 + (g1^4*t^4.223)/g2^14 + (g1^2*t^4.223)/g2^10 + (2*t^4.223)/g2^6 + t^4.223/(g1^2*g2^2) + (g2^2*t^4.223)/g1^4 + g2^2*t^4.592 + (g1^2*t^5.296)/g2^3 + g2*t^5.296 + (g2^5*t^5.296)/g1^2 - 2*t^6. - (g1^2*t^6.)/g2^4 - (g2^4*t^6.)/g1^2 + (g1^6*t^6.334)/g2^21 + (g1^4*t^6.334)/g2^17 + (2*g1^2*t^6.334)/g2^13 + (2*t^6.334)/g2^9 + (2*t^6.334)/(g1^2*g2^5) + t^6.334/(g1^4*g2) + (g2^3*t^6.334)/g1^6 + g2^8*t^6.369 + (g1^4*t^7.408)/g2^10 + (g1^2*t^7.408)/g2^6 + (2*t^7.408)/g2^2 + (g2^2*t^7.408)/g1^2 + (g2^6*t^7.408)/g1^4 - (g1^4*t^8.111)/g2^11 - (3*g1^2*t^8.111)/g2^7 - (3*t^8.111)/g2^3 - (3*g2*t^8.111)/g1^2 - (g2^5*t^8.111)/g1^4 + t^8.446/g1^6 + (g1^8*t^8.446)/g2^28 + (g1^6*t^8.446)/g2^24 + (2*g1^4*t^8.446)/g2^20 + (2*g1^2*t^8.446)/g2^16 + (3*t^8.446)/g2^12 + (2*t^8.446)/(g1^2*g2^8) + (2*t^8.446)/(g1^4*g2^4) + (g2^4*t^8.446)/g1^8 - (2*t^8.815)/g1^2 - (2*g1^2*t^8.815)/g2^8 - (2*t^8.815)/g2^4 - t^8.815/(g1^2*y^2) - (g1^2*t^8.815)/(g2^8*y^2) - t^8.815/(g2^4*y^2) - t^3.704/(g2*y) - t^5.815/(g1^2*y) - (g1^2*t^5.815)/(g2^8*y) - t^5.815/(g2^4*y) + (g1^2*t^7.223)/(g2^10*y) + t^7.223/(g2^6*y) + t^7.223/(g1^2*g2^2*y) + (g1^2*t^7.592)/(g2^2*y) + (g2^2*t^7.592)/y + (g2^6*t^7.592)/(g1^2*y) - (g1^4*t^7.927)/(g2^15*y) - (g1^2*t^7.927)/(g2^11*y) - (2*t^7.927)/(g2^7*y) - t^7.927/(g1^2*g2^3*y) - (g2*t^7.927)/(g1^4*y) + (g1^2*t^8.296)/(g2^3*y) + (g2*t^8.296)/y + (g2^5*t^8.296)/(g1^2*y) - (t^3.704*y)/g2 - (t^5.815*y)/g1^2 - (g1^2*t^5.815*y)/g2^8 - (t^5.815*y)/g2^4 + (g1^2*t^7.223*y)/g2^10 + (t^7.223*y)/g2^6 + (t^7.223*y)/(g1^2*g2^2) + (g1^2*t^7.592*y)/g2^2 + g2^2*t^7.592*y + (g2^6*t^7.592*y)/g1^2 - (g1^4*t^7.927*y)/g2^15 - (g1^2*t^7.927*y)/g2^11 - (2*t^7.927*y)/g2^7 - (t^7.927*y)/(g1^2*g2^3) - (g2*t^7.927*y)/g1^4 + (g1^2*t^8.296*y)/g2^3 + g2*t^8.296*y + (g2^5*t^8.296*y)/g1^2 - (t^8.815*y^2)/g1^2 - (g1^2*t^8.815*y^2)/g2^8 - (t^8.815*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 24 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.3021], qb:[0.4893], phi:[0.3021]] | t^2.158 + t^2.374 + t^2.719 + t^3.281 + t^4.187 + t^4.316 + t^4.532 + t^4.748 + t^4.877 + t^5.094 + t^5.439 + t^5.655 - t^6. - t^3.906/y - t^3.906*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 |
|---|---|---|---|---|---|---|---|---|---|
| 170 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}q_{1}q_{2}$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.8827, 0.4135], qb:[0.8827, 0.8827], phi:[0.2346]] | 3*t^2.111 + t^3.185 + 6*t^4.223 + t^4.592 + 3*t^5.296 - 4*t^6. - t^3.704/y - (3*t^5.815)/y - t^3.704*y - 3*t^5.815*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 7 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | 2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. - t^3.712/y - (2*t^5.848)/y - t^3.712*y - 2*t^5.848*y | detail |