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 |
|---|---|---|---|---|---|---|---|---|---|
| 750 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5924 | 0.7273 | 0.8146 | [X:[1.3859], M:[1.0, 1.2281, 0.7016, 0.6141, 0.8422], q:[0.6141, 1.0], qb:[0.3859, 0.4562], phi:[0.3859]] | [X:[[1]], M:[[0], [-2], [7], [-1], [-3]], q:[[-1], [0]], qb:[[1], [-4]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.105 + 2*t^2.527 + t^3. + t^3.211 + 2*t^3.684 + t^4.158 + t^4.209 + t^4.369 + 2*t^4.631 + t^4.842 + 3*t^5.053 + t^5.105 + t^5.527 + 2*t^5.737 + t^5.789 - 2*t^6. + 4*t^6.211 + t^6.263 + t^6.314 + t^6.422 - t^6.473 + t^6.684 + 2*t^6.736 + 3*t^6.895 + t^7.158 + t^7.209 + 3*t^7.369 + 4*t^7.58 + t^7.894 + 2*t^8.053 - 2*t^8.105 + 3*t^8.264 + 2*t^8.316 + t^8.367 + t^8.419 - 4*t^8.527 - t^8.578 + 5*t^8.737 + t^8.789 + 2*t^8.841 + 2*t^8.948 - t^4.158/y - t^6.263/y - t^6.684/y + (3*t^7.631)/y + (2*t^8.053)/y + t^8.105/y + t^8.316/y - t^8.367/y + (2*t^8.527)/y + (2*t^8.737)/y + t^8.789/y - t^4.158*y - t^6.263*y - t^6.684*y + 3*t^7.631*y + 2*t^8.053*y + t^8.105*y + t^8.316*y - t^8.367*y + 2*t^8.527*y + 2*t^8.737*y + t^8.789*y | g1^7*t^2.105 + (2*t^2.527)/g1^3 + t^3. + t^3.211/g1^5 + (2*t^3.684)/g1^2 + g1*t^4.158 + g1^14*t^4.209 + t^4.369/g1^4 + 2*g1^4*t^4.631 + t^4.842/g1 + (3*t^5.053)/g1^6 + g1^7*t^5.105 + t^5.527/g1^3 + (2*t^5.737)/g1^8 + g1^5*t^5.789 - 2*t^6. + (4*t^6.211)/g1^5 + g1^8*t^6.263 + g1^21*t^6.314 + t^6.422/g1^10 - g1^3*t^6.473 + t^6.684/g1^2 + 2*g1^11*t^6.736 + (3*t^6.895)/g1^7 + g1*t^7.158 + g1^14*t^7.209 + (3*t^7.369)/g1^4 + (4*t^7.58)/g1^9 + g1^12*t^7.894 + (2*t^8.053)/g1^6 - 2*g1^7*t^8.105 + (3*t^8.264)/g1^11 + 2*g1^2*t^8.316 + g1^15*t^8.367 + g1^28*t^8.419 - (4*t^8.527)/g1^3 - g1^10*t^8.578 + (5*t^8.737)/g1^8 + g1^5*t^8.789 + 2*g1^18*t^8.841 + (2*t^8.948)/g1^13 - (g1*t^4.158)/y - (g1^8*t^6.263)/y - t^6.684/(g1^2*y) + (3*g1^4*t^7.631)/y + (2*t^8.053)/(g1^6*y) + (g1^7*t^8.105)/y + (g1^2*t^8.316)/y - (g1^15*t^8.367)/y + (2*t^8.527)/(g1^3*y) + (2*t^8.737)/(g1^8*y) + (g1^5*t^8.789)/y - g1*t^4.158*y - g1^8*t^6.263*y - (t^6.684*y)/g1^2 + 3*g1^4*t^7.631*y + (2*t^8.053*y)/g1^6 + g1^7*t^8.105*y + g1^2*t^8.316*y - g1^15*t^8.367*y + (2*t^8.527*y)/g1^3 + (2*t^8.737*y)/g1^8 + g1^5*t^8.789*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 |
|---|---|---|---|---|---|---|---|---|
| 1236 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6106 | 0.7596 | 0.8038 | [X:[1.3844], M:[1.0, 1.2313, 0.6905, 0.6156, 0.8469, 0.7687], q:[0.6156, 1.0], qb:[0.3844, 0.4626], phi:[0.3844]] | t^2.072 + t^2.306 + 2*t^2.541 + t^3. + t^3.235 + t^3.694 + t^4.143 + t^4.153 + t^4.378 + t^4.388 + 3*t^4.612 + 3*t^4.847 + t^5.072 + 3*t^5.081 + t^5.306 + 2*t^5.541 + 2*t^5.775 - t^6. - t^4.153/y - t^4.153*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 |
|---|---|---|---|---|---|---|---|---|---|
| 450 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5791 | 0.7041 | 0.8225 | [X:[1.3823], M:[1.0, 1.2354, 0.676, 0.6177], q:[0.6177, 1.0], qb:[0.3823, 0.4709], phi:[0.3823]] | t^2.028 + t^2.559 + t^3. + t^3.266 + t^3.441 + 2*t^3.706 + t^4.056 + t^4.147 + t^4.413 + t^4.587 + t^4.853 + t^5.028 + t^5.119 + t^5.468 + t^5.734 + t^5.825 - t^6. - t^4.147/y - t^4.147*y | detail |