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 |
|---|---|---|---|---|---|---|---|---|---|
| 57920 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3171 | 1.4887 | 0.8847 | [X:[1.4007], M:[0.7491, 1.101], q:[0.3507, 0.8002], qb:[0.6005, 0.4506], phi:[0.2997]] | [X:[[0, 4]], M:[[0, -5], [0, 6]], q:[[-1, 8], [-1, 5]], qb:[[1, -1], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}$ | -2 | t^2.25 + t^2.4 + t^2.85 + 2*t^3.3 + t^3.75 + 3*t^4.2 + t^4.49 + 2*t^4.65 + t^4.81 + 2*t^5.1 + t^5.26 + 2*t^5.4 + t^5.55 + 3*t^5.71 + 2*t^5.85 - 2*t^6. + 3*t^6.16 + 2*t^6.3 + 7*t^6.61 + t^6.74 + 2*t^6.75 - t^6.9 + 7*t^7.06 + t^7.21 - t^7.35 + 9*t^7.51 + t^7.66 + 2*t^7.81 + 7*t^7.95 - 2*t^8.1 + 3*t^8.11 - 3*t^8.25 + 4*t^8.26 + 6*t^8.4 - 2*t^8.55 + 4*t^8.56 + 2*t^8.7 + 8*t^8.71 + t^8.85 + t^8.99 + t^8.7/y^2 - t^3.9/y - t^4.8/y - t^6.15/y - t^6.3/y - t^6.75/y - t^7.05/y - (2*t^7.2)/y - (2*t^8.1)/y + t^8.26/y - t^8.39/y + t^8.55/y + t^8.71/y - t^3.9*y - t^4.8*y - t^6.15*y - t^6.3*y - t^6.75*y - t^7.05*y - 2*t^7.2*y - 2*t^8.1*y + t^8.26*y - t^8.39*y + t^8.55*y + t^8.71*y + t^8.7*y^2 | t^2.25/g2^5 + g2^8*t^2.4 + g2^7*t^2.85 + 2*g2^6*t^3.3 + g2^5*t^3.75 + 3*g2^4*t^4.2 + t^4.49/g2^10 + 2*g2^3*t^4.65 + g2^16*t^4.81 + 2*g2^2*t^5.1 + g2^15*t^5.26 + (g1^3*t^5.4)/g2^3 + (g2^19*t^5.4)/g1^3 + g2*t^5.55 + 3*g2^14*t^5.71 + (g1^3*t^5.85)/g2^4 + (g2^18*t^5.85)/g1^3 - 2*t^6. + 3*g2^13*t^6.16 + (g1^3*t^6.3)/g2^5 + (g2^17*t^6.3)/g1^3 + 7*g2^12*t^6.61 + t^6.74/g2^15 + (g1^3*t^6.75)/g2^6 + (g2^16*t^6.75)/g1^3 - t^6.9/g2^2 + 7*g2^11*t^7.06 + g2^24*t^7.21 - t^7.35/g2^3 + 9*g2^10*t^7.51 + g2^23*t^7.66 + g1^3*g2^5*t^7.81 + (g2^27*t^7.81)/g1^3 + 7*g2^9*t^7.95 - (g1^3*t^8.1)/g2^9 - (g2^13*t^8.1)/g1^3 + 3*g2^22*t^8.11 - (3*t^8.25)/g2^5 + 2*g1^3*g2^4*t^8.26 + (2*g2^26*t^8.26)/g1^3 + 6*g2^8*t^8.4 - (g1^3*t^8.55)/g2^10 - (g2^12*t^8.55)/g1^3 + 4*g2^21*t^8.56 + (2*t^8.7)/g2^6 + 4*g1^3*g2^3*t^8.71 + (4*g2^25*t^8.71)/g1^3 + g2^7*t^8.85 + t^8.99/g2^20 + t^8.7/(g2^6*y^2) - t^3.9/(g2^2*y) - t^4.8/(g2^4*y) - t^6.15/(g2^7*y) - (g2^6*t^6.3)/y - (g2^5*t^6.75)/y - t^7.05/(g2^9*y) - (2*g2^4*t^7.2)/y - (2*g2^2*t^8.1)/y + (g2^15*t^8.26)/y - t^8.39/(g2^12*y) + (g2*t^8.55)/y + (g2^14*t^8.71)/y - (t^3.9*y)/g2^2 - (t^4.8*y)/g2^4 - (t^6.15*y)/g2^7 - g2^6*t^6.3*y - g2^5*t^6.75*y - (t^7.05*y)/g2^9 - 2*g2^4*t^7.2*y - 2*g2^2*t^8.1*y + g2^15*t^8.26*y - (t^8.39*y)/g2^12 + g2*t^8.55*y + g2^14*t^8.71*y + (t^8.7*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61241 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3162 | 1.4851 | 0.8863 | [X:[1.4078], M:[0.7403, 1.1117], q:[0.3463, 0.7905], qb:[0.6173, 0.4693], phi:[0.2961]] | t^2.22 + t^2.45 + t^2.89 + 2*t^3.34 + t^3.78 + 3*t^4.22 + t^4.44 + 2*t^4.67 + t^4.89 + 2*t^5.11 + 2*t^5.34 + 2*t^5.56 + 4*t^5.78 - t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*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 |
|---|---|---|---|---|---|---|---|---|---|
| 57295 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3271 | 1.5011 | 0.8841 | [X:[1.4141], M:[0.7323], q:[0.3653, 0.8047], qb:[0.6094, 0.463], phi:[0.2929]] | t^2.197 + t^2.485 + t^2.636 + t^2.924 + t^3.364 + t^3.803 + 3*t^4.242 + t^4.394 + 2*t^4.682 + t^4.833 + t^4.97 + 3*t^5.121 + t^5.273 + t^5.409 + 2*t^5.485 + t^5.561 + 2*t^5.848 + 2*t^5.924 - t^6. - t^3.879/y - t^4.758/y - t^3.879*y - t^4.758*y | detail |