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 |
|---|---|---|---|---|---|---|---|---|---|
| 59429 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3902 | 1.5756 | 0.8823 | [X:[1.3653], M:[0.8413], q:[0.6617, 0.3444], qb:[0.497, 0.5928], phi:[0.3174]] | [X:[[12]], M:[[3]], q:[[19], [25]], qb:[[-22], [14]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}$ | -2 | 2*t^2.52 + t^2.81 + t^2.86 + t^3.48 + 2*t^3.76 + t^4.1 + 2*t^4.43 + 2*t^4.72 + t^5. + 2*t^5.05 + 2*t^5.34 + 3*t^5.38 + t^5.62 + 2*t^5.67 + t^5.71 + 3*t^5.96 - 2*t^6. + 4*t^6.29 + t^6.33 + 2*t^6.58 + 4*t^6.62 + 3*t^6.91 + 2*t^6.95 + 5*t^7.24 + t^7.28 + t^7.33 + 5*t^7.53 + 4*t^7.57 + t^7.81 + 5*t^7.86 + 4*t^7.9 - t^7.95 + 2*t^8.15 + 8*t^8.19 + t^8.24 + t^8.43 + 10*t^8.48 - 4*t^8.52 + t^8.57 + 5*t^8.77 + 4*t^8.81 + 2*t^8.86 - 2*t^8.9 + t^8.86/y^2 - t^3.95/y - t^4.9/y - (2*t^6.48)/y - t^6.76/y - t^6.81/y - (2*t^7.43)/y - (2*t^7.72)/y - t^7.76/y + t^8.05/y + (2*t^8.34)/y + t^8.38/y - t^8.67/y - t^3.95*y - t^4.9*y - 2*t^6.48*y - t^6.76*y - t^6.81*y - 2*t^7.43*y - 2*t^7.72*y - t^7.76*y + t^8.05*y + 2*t^8.34*y + t^8.38*y - t^8.67*y + t^8.86*y^2 | 2*g1^3*t^2.52 + g1^39*t^2.81 + t^2.86/g1^18 + t^3.48/g1^3 + 2*g1^33*t^3.76 + g1^12*t^4.1 + (2*t^4.43)/g1^9 + 2*g1^27*t^4.72 + g1^63*t^5. + 2*g1^6*t^5.05 + 2*g1^42*t^5.34 + (3*t^5.38)/g1^15 + g1^78*t^5.62 + 2*g1^21*t^5.67 + t^5.71/g1^36 + 3*g1^57*t^5.96 - 2*t^6. + 4*g1^36*t^6.29 + t^6.33/g1^21 + 2*g1^72*t^6.58 + 4*g1^15*t^6.62 + 3*g1^51*t^6.91 + (2*t^6.95)/g1^6 + 5*g1^30*t^7.24 + t^7.28/g1^27 + t^7.33/g1^84 + 5*g1^66*t^7.53 + 4*g1^9*t^7.57 + g1^102*t^7.81 + 5*g1^45*t^7.86 + (4*t^7.9)/g1^12 - t^7.95/g1^69 + 2*g1^81*t^8.15 + 8*g1^24*t^8.19 + t^8.24/g1^33 + g1^117*t^8.43 + 10*g1^60*t^8.48 - 4*g1^3*t^8.52 + t^8.57/g1^54 + 5*g1^96*t^8.77 + 4*g1^39*t^8.81 + (2*t^8.86)/g1^18 - (2*t^8.9)/g1^75 + t^8.86/(g1^18*y^2) - t^3.95/(g1^6*y) - t^4.9/(g1^12*y) - (2*t^6.48)/(g1^3*y) - (g1^33*t^6.76)/y - t^6.81/(g1^24*y) - (2*t^7.43)/(g1^9*y) - (2*g1^27*t^7.72)/y - t^7.76/(g1^30*y) + (g1^6*t^8.05)/y + (2*g1^42*t^8.34)/y + t^8.38/(g1^15*y) - (g1^21*t^8.67)/y - (t^3.95*y)/g1^6 - (t^4.9*y)/g1^12 - (2*t^6.48*y)/g1^3 - g1^33*t^6.76*y - (t^6.81*y)/g1^24 - (2*t^7.43*y)/g1^9 - 2*g1^27*t^7.72*y - (t^7.76*y)/g1^30 + g1^6*t^8.05*y + 2*g1^42*t^8.34*y + (t^8.38*y)/g1^15 - g1^21*t^8.67*y + (t^8.86*y^2)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61163 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3843 | 1.5622 | 0.8861 | [X:[1.3846], M:[0.8462], q:[0.6923, 0.3846], qb:[0.4615, 0.6154], phi:[0.3077]] | 2*t^2.54 + t^2.77 + t^3. + t^3.46 + 2*t^3.92 + t^4.15 + 2*t^4.38 + 2*t^4.85 + 2*t^5.08 + 4*t^5.31 + 3*t^5.54 + 2*t^5.77 - t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | {a: 12165/8788, c: 54913/35152, X1: 18/13, M1: 11/13, q1: 9/13, q2: 5/13, qb1: 6/13, qb2: 8/13, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57463 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4634 | 1.6644 | 0.8792 | [X:[1.3515], M:[0.6749], q:[0.4769, 0.4786], qb:[0.5223, 0.5767], phi:[0.3243]] | t^2.02 + t^2.92 + 2*t^3. + t^3.16 + t^3.17 + t^3.97 + 2*t^4.05 + t^4.13 + t^4.14 + 2*t^4.94 + t^4.95 + t^5.02 + t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 + t^5.99 - 2*t^6. - t^3.97/y - t^4.95/y - t^6./y - t^3.97*y - t^4.95*y - t^6.*y | detail |