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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | [X:[[0, 2]], M:[[2, -7]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.115 + t^3.08 + t^3.736 + t^3.81 + t^4.231 + t^4.54 + t^5.196 + t^5.851 - 2*t^6. - t^6.075 + t^6.16 + t^6.346 - t^6.73 - t^6.804 + t^6.816 + t^6.89 + t^7.311 + t^7.471 + t^7.546 + t^7.62 + t^7.966 - 2*t^8.115 + t^8.276 - t^8.425 + t^8.462 - 2*t^8.845 + t^8.931 + t^8.994 - t^8.845/y^2 - t^3.73/y - t^5.845/y + t^7.615/y - t^7.961/y + t^8.196/y + t^8.851/y + t^8.925/y - t^3.73*y - t^5.845*y + t^7.615*y - t^7.961*y + t^8.196*y + t^8.851*y + t^8.925*y - t^8.845*y^2 | (g1^2*t^2.115)/g2^7 + g2^4*t^3.08 + (g1^2*t^3.736)/g2 + g2^3*t^3.81 + (g1^4*t^4.231)/g2^14 + g2^2*t^4.54 + (g1^2*t^5.196)/g2^3 + (g1^4*t^5.851)/g2^8 - 2*t^6. - (g2^4*t^6.075)/g1^2 + g2^8*t^6.16 + (g1^6*t^6.346)/g2^21 - t^6.73/g2 - (g2^3*t^6.804)/g1^2 + g1^2*g2^3*t^6.816 + g2^7*t^6.89 + (g1^4*t^7.311)/g2^10 + (g1^4*t^7.471)/g2^2 + g1^2*g2^2*t^7.546 + g2^6*t^7.62 + (g1^6*t^7.966)/g2^15 - (2*g1^2*t^8.115)/g2^7 + g1^2*g2*t^8.276 - (g2^9*t^8.425)/g1^2 + (g1^8*t^8.462)/g2^28 - (2*g1^2*t^8.845)/g2^8 + (g1^4*t^8.931)/g2^4 + t^8.994/g1^2 - (g1^2*t^8.845)/(g2^8*y^2) - t^3.73/(g2*y) - (g1^2*t^5.845)/(g2^8*y) + (g2^6*t^7.615)/(g1^2*y) - (g1^4*t^7.961)/(g2^15*y) + (g1^2*t^8.196)/(g2^3*y) + (g1^4*t^8.851)/(g2^8*y) + (g1^2*t^8.925)/(g2^4*y) - (t^3.73*y)/g2 - (g1^2*t^5.845*y)/g2^8 + (g2^6*t^7.615*y)/g1^2 - (g1^4*t^7.961*y)/g2^15 + (g1^2*t^8.196*y)/g2^3 + (g1^4*t^8.851*y)/g2^8 + (g1^2*t^8.925*y)/g2^4 - (g1^2*t^8.845*y^2)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*y | detail | |
| 10 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.6962, 0.7159], q:[0.5326], qb:[0.5129], phi:[0.2386]] | t^2.088 + t^2.148 + t^3.137 + t^3.793 + t^4.177 + t^4.236 + t^4.295 + t^4.568 + t^5.225 + t^5.284 + t^5.882 - 2*t^6. - t^3.716/y - t^5.804/y - t^5.863/y - t^3.716*y - t^5.804*y - t^5.863*y | detail | |
| 7 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 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 | |
| 9 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.3583 | 0.3667 | 0.9773 | [X:[1.7333], M:[0.8], q:[0.5333], qb:[0.9333], phi:[0.1333]] | t^2.4 + t^4.4 + t^4.8 - t^6. - t^3.4/y - t^5.8/y - t^3.4*y - t^5.8*y | detail | {a: 43/120, c: 11/30, X1: 26/15, M1: 4/5, q1: 8/15, qb1: 14/15, phi1: 2/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 68 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.8783, 0.9032], qb:[0.3917, 0.8535], phi:[0.2433]] | t^2.115 + t^3.08 + t^3.736 + t^3.81 + t^4.231 + t^4.54 + t^5.196 + t^5.851 - 2*t^6. - t^3.73/y - t^5.845/y - t^3.73*y - t^5.845*y | detail | |
| 75489 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}\phi_{2}\tilde{q}_{1}^{2}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5009], qb:[0.5258], phi:[1.0, 0.2433], S:[], Sb:[], A:[], Ab:[]] | t^2.115 + t^3.08 + t^3.736 + t^3.81 + t^4.231 + t^4.54 + t^5.196 + t^5.851 - 2*t^6. - t^3.73/y - t^5.845/y - t^3.73*y - t^5.845*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.5042], qb:[0.5042], phi:[0.2479]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail |