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 |
|---|---|---|---|---|---|---|---|---|---|
| 57633 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.3394 | 1.5112 | 0.8863 | [X:[1.4019], M:[0.8391], q:[0.6473, 0.4063], qb:[0.7546, 0.3975], phi:[0.299]] | [X:[[0, 4]], M:[[3, -15]], q:[[1, -3], [-2, 8]], qb:[[-1, 7], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -1 | t^2.41 + t^2.52 + t^2.69 + t^3.13 + t^3.31 + t^4.03 + 3*t^4.21 + t^4.38 + t^4.82 + t^4.93 + t^5.03 + 2*t^5.1 + t^5.21 + t^5.28 + t^5.38 + 2*t^5.55 + t^5.65 + t^5.72 + t^5.83 - t^6. + 2*t^6.27 + t^6.35 + 3*t^6.44 + t^6.55 + 5*t^6.62 + 2*t^6.72 + t^6.79 + t^6.9 - t^7.07 + t^7.17 + t^7.23 + 5*t^7.34 + t^7.45 + 5*t^7.51 + t^7.55 + t^7.62 + 2*t^7.69 + t^7.73 + t^7.79 + t^7.9 + 2*t^7.96 - 2*t^7.97 + 2*t^8.06 + t^8.07 + t^8.13 - t^8.14 + t^8.17 + 3*t^8.24 + t^8.34 + 5*t^8.41 - t^8.52 + 3*t^8.59 + 3*t^8.68 + 2*t^8.76 + 2*t^8.79 + 4*t^8.85 - 2*t^8.87 + 3*t^8.96 + t^8.69/y^2 - t^3.9/y - t^4.79/y - t^6.31/y - t^6.41/y - t^6.59/y - t^7.03/y - t^7.21/y - t^7.31/y - t^7.49/y - t^8.1/y + t^8.21/y + t^8.55/y + t^8.65/y + t^8.83/y - t^8.93/y - t^3.9*y - t^4.79*y - t^6.31*y - t^6.41*y - t^6.59*y - t^7.03*y - t^7.21*y - t^7.31*y - t^7.49*y - t^8.1*y + t^8.21*y + t^8.55*y + t^8.65*y + t^8.83*y - t^8.93*y + t^8.69*y^2 | g2^8*t^2.41 + (g1^3*t^2.52)/g2^15 + t^2.69/g2^6 + (g1^3*t^3.13)/g2^3 + g2^6*t^3.31 + (g1^3*t^4.03)/g2^5 + 3*g2^4*t^4.21 + (g2^13*t^4.38)/g1^3 + g2^16*t^4.82 + (g1^3*t^4.93)/g2^7 + (g1^6*t^5.03)/g2^30 + 2*g2^2*t^5.1 + (g1^3*t^5.21)/g2^21 + (g2^11*t^5.28)/g1^3 + t^5.38/g2^12 + 2*g1^3*g2^5*t^5.55 + (g1^6*t^5.65)/g2^18 + g2^14*t^5.72 + (g1^3*t^5.83)/g2^9 - t^6. + (2*g1^6*t^6.27)/g2^6 + (g2^18*t^6.35)/g1^6 + 3*g1^3*g2^3*t^6.44 + (g1^6*t^6.55)/g2^20 + 5*g2^12*t^6.62 + (2*g1^3*t^6.72)/g2^11 + (g2^21*t^6.79)/g1^3 + t^6.9/g2^2 - (g2^7*t^7.07)/g1^3 + (g1^6*t^7.17)/g2^8 + g2^24*t^7.23 + 5*g1^3*g2*t^7.34 + (g1^6*t^7.45)/g2^22 + 5*g2^10*t^7.51 + (g1^9*t^7.55)/g2^45 + (g1^3*t^7.62)/g2^13 + (2*g2^19*t^7.69)/g1^3 + (g1^6*t^7.73)/g2^36 + t^7.79/g2^4 + (g1^3*t^7.9)/g2^27 + 2*g1^3*g2^13*t^7.96 - (2*g2^5*t^7.97)/g1^3 + (2*g1^6*t^8.06)/g2^10 + t^8.07/g2^18 + g2^22*t^8.13 - (g2^14*t^8.14)/g1^6 + (g1^9*t^8.17)/g2^33 + (3*g1^3*t^8.24)/g2 + (g1^6*t^8.34)/g2^24 + 5*g2^8*t^8.41 - (g1^3*t^8.52)/g2^15 + (3*g2^17*t^8.59)/g1^3 + 3*g1^6*g2^2*t^8.68 + (2*g2^26*t^8.76)/g1^6 + (2*g1^9*t^8.79)/g2^21 + 4*g1^3*g2^11*t^8.85 - (2*g2^3*t^8.87)/g1^3 + (3*g1^6*t^8.96)/g2^12 + t^8.69/(g2^6*y^2) - t^3.9/(g2^2*y) - t^4.79/(g2^4*y) - (g2^6*t^6.31)/y - (g1^3*t^6.41)/(g2^17*y) - t^6.59/(g2^8*y) - (g1^3*t^7.03)/(g2^5*y) - (g2^4*t^7.21)/y - (g1^3*t^7.31)/(g2^19*y) - t^7.49/(g2^10*y) - (g2^2*t^8.1)/y + (g1^3*t^8.21)/(g2^21*y) + (g1^3*g2^5*t^8.55)/y + (g1^6*t^8.65)/(g2^18*y) + (g1^3*t^8.83)/(g2^9*y) - (g1^6*t^8.93)/(g2^32*y) - (t^3.9*y)/g2^2 - (t^4.79*y)/g2^4 - g2^6*t^6.31*y - (g1^3*t^6.41*y)/g2^17 - (t^6.59*y)/g2^8 - (g1^3*t^7.03*y)/g2^5 - g2^4*t^7.21*y - (g1^3*t^7.31*y)/g2^19 - (t^7.49*y)/g2^10 - g2^2*t^8.1*y + (g1^3*t^8.21*y)/g2^21 + g1^3*g2^5*t^8.55*y + (g1^6*t^8.65*y)/g2^18 + (g1^3*t^8.83*y)/g2^9 - (g1^6*t^8.93*y)/g2^32 + (t^8.69*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 |
|---|---|---|---|---|---|---|---|---|
| 58967 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3142 | 1.4979 | 0.8774 | [X:[1.3415], M:[1.0123], q:[0.6749, 0.321], qb:[0.6667, 0.362], phi:[0.3292]] | t^2.05 + t^2.96 + 2*t^3.04 + t^3.11 + t^3.95 + 3*t^4.02 + 2*t^4.1 + t^4.94 + 2*t^5.01 + 2*t^5.09 + 2*t^5.16 + t^5.85 + t^5.93 + t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 59054 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.1459 | 1.2876 | 0.89 | [X:[1.4332], M:[1.1335], q:[0.7611, 0.1944], qb:[0.6721, 0.6721], phi:[0.2834]] | t^2.55 + t^2.6 + t^3.4 + 2*t^3.45 + 6*t^4.3 + t^5.1 + 3*t^5.15 + t^5.2 + t^5.95 - 2*t^6. - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | |
| 59038 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3308 | 1.5005 | 0.8869 | [X:[1.3897], M:[0.8621, 1.0845], q:[0.6489, 0.3971], qb:[0.7408, 0.3823], phi:[0.3052]] | t^2.34 + t^2.59 + t^3.09 + 2*t^3.25 + t^4.01 + 3*t^4.17 + t^4.33 + t^4.68 + t^4.92 + t^5.08 + t^5.17 + t^5.24 + 2*t^5.43 + 2*t^5.59 + t^5.68 + t^5.84 - 2*t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 58559 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3356 | 1.5005 | 0.8901 | [X:[1.4286], M:[0.79], q:[0.6443, 0.4257], qb:[0.7843, 0.4314], phi:[0.2857]] | t^2.37 + 2*t^2.57 + t^3.23 + t^3.43 + t^4.08 + 3*t^4.29 + t^4.49 + t^4.74 + 2*t^4.94 + 4*t^5.14 + t^5.34 + t^5.6 + 3*t^5.8 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47932 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y | detail |