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 |
|---|---|---|---|---|---|---|---|---|---|
| 57466 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4519 | 1.632 | 0.8897 | [X:[1.3846], M:[0.9058, 0.9058], q:[0.5071, 0.5071], qb:[0.5871, 0.5526], phi:[0.3077]] | [X:[[0, 0, 2]], M:[[1, 1, -6], [-1, 2, -1]], q:[[-1, 1, 5], [1, 0, 0]], qb:[[0, -2, 1], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -5 | 2*t^2.72 + t^2.77 + 2*t^3.18 + 2*t^4.1 + t^4.15 + 2*t^4.21 + 2*t^5.03 + 2*t^5.13 + 3*t^5.43 + 4*t^5.49 + t^5.54 + 3*t^5.9 + 2*t^5.95 - 5*t^6. + 3*t^6.36 + 2*t^6.41 + 3*t^6.82 + 4*t^6.87 + t^6.92 + 2*t^6.97 + 3*t^7.28 + 6*t^7.33 + 3*t^7.38 + 4*t^7.74 + 2*t^7.79 + t^7.85 + t^8.05 + 4*t^8.15 + 10*t^8.2 + 4*t^8.26 + 5*t^8.31 + 3*t^8.41 + 4*t^8.61 + 7*t^8.67 - 8*t^8.72 - 4*t^8.77 - 2*t^8.82 - 2*t^8.92 + t^8.77/y^2 - t^3.92/y - t^4.85/y - (2*t^6.64)/y - t^6.69/y - (2*t^7.1)/y - (2*t^7.56)/y - t^7.62/y - (2*t^8.03)/y + t^8.43/y + (2*t^8.49)/y + (4*t^8.9)/y - t^3.92*y - t^4.85*y - 2*t^6.64*y - t^6.69*y - 2*t^7.1*y - 2*t^7.56*y - t^7.62*y - 2*t^8.03*y + t^8.43*y + 2*t^8.49*y + 4*t^8.9*y + t^8.77*y^2 | (g1*g2*t^2.72)/g3^6 + (g2^2*t^2.72)/(g1*g3) + t^2.77/g3^3 + g1*g2*t^3.18 + (g2^2*g3^5*t^3.18)/g1 + (g1*g2*t^4.1)/g3 + (g2^2*g3^4*t^4.1)/g1 + g3^2*t^4.15 + (g1*t^4.21)/g2^2 + (g3^5*t^4.21)/(g1*g2) + (g1*g2*t^5.03)/g3^2 + (g2^2*g3^3*t^5.03)/g1 + (g1*t^5.13)/(g2^2*g3) + (g3^4*t^5.13)/(g1*g2) + (g1^2*g2^2*t^5.43)/g3^12 + (g2^3*t^5.43)/g3^7 + (g2^4*t^5.43)/(g1^2*g3^2) + (g1*g2*t^5.49)/g3^9 + (g2^2*t^5.49)/(g1*g3^4) + g1*g2*g3^4*t^5.49 + (g2^2*g3^9*t^5.49)/g1 + t^5.54/g3^6 + (g1^2*g2^2*t^5.9)/g3^6 + (g2^3*t^5.9)/g3 + (g2^4*g3^4*t^5.9)/g1^2 + (g1*g2*t^5.95)/g3^3 + (g2^2*g3^2*t^5.95)/g1 - 3*t^6. - (g1^2*t^6.)/(g2*g3^5) - (g2*g3^5*t^6.)/g1^2 + g1^2*g2^2*t^6.36 + g2^3*g3^5*t^6.36 + (g2^4*g3^10*t^6.36)/g1^2 + g1*g2*g3^3*t^6.41 + (g2^2*g3^8*t^6.41)/g1 + (g1^2*g2^2*t^6.82)/g3^7 + (g2^3*t^6.82)/g3^2 + (g2^4*g3^3*t^6.82)/g1^2 + (2*g1*g2*t^6.87)/g3^4 + (2*g2^2*g3*t^6.87)/g1 + t^6.92/g3 + (g1*t^6.97)/(g2^2*g3^3) + (g3^2*t^6.97)/(g1*g2) + (g1^2*g2^2*t^7.28)/g3 + g2^3*g3^4*t^7.28 + (g2^4*g3^9*t^7.28)/g1^2 + (g1^3*t^7.33)/g3^3 + 2*g1*g2*g3^2*t^7.33 + (2*g2^2*g3^7*t^7.33)/g1 + (g2^3*g3^12*t^7.33)/g1^3 + (g1^2*t^7.38)/g2 + g3^5*t^7.38 + (g2*g3^10*t^7.38)/g1^2 + (g1^2*g2^2*t^7.74)/g3^8 + (2*g2^3*t^7.74)/g3^3 + (g2^4*g3^2*t^7.74)/g1^2 + (g2^2*t^7.79)/g1 + (g1*g2*t^7.79)/g3^5 + t^7.85/g3^2 + t^8.05/g2^6 + (g1^3*g2^3*t^8.15)/g3^18 + (g1*g2^4*t^8.15)/g3^13 + (g2^5*t^8.15)/(g1*g3^8) + (g2^6*t^8.15)/(g1^3*g3^3) + (g1^2*g2^2*t^8.2)/g3^15 + (g2^3*t^8.2)/g3^10 + (g2^4*t^8.2)/(g1^2*g3^5) + (2*g1^2*g2^2*t^8.2)/g3^2 + 3*g2^3*g3^3*t^8.2 + (2*g2^4*g3^8*t^8.2)/g1^2 + (g1*g2*t^8.26)/g3^12 + (g2^2*t^8.26)/(g1*g3^7) + g1*g2*g3*t^8.26 + (g2^2*g3^6*t^8.26)/g1 + t^8.31/g3^9 + (g1^2*t^8.31)/(g2*g3) + 2*g3^4*t^8.31 + (g2*g3^9*t^8.31)/g1^2 + (g1^2*t^8.41)/g2^4 + (g3^5*t^8.41)/g2^3 + (g3^10*t^8.41)/(g1^2*g2^2) + (g1^3*g2^3*t^8.61)/g3^12 + (g1*g2^4*t^8.61)/g3^7 + (g2^5*t^8.61)/(g1*g3^2) + (g2^6*g3^3*t^8.61)/g1^3 + (g1^2*g2^2*t^8.67)/g3^9 + (g2^3*t^8.67)/g3^4 + (g2^4*g3*t^8.67)/g1^2 + g1^2*g2^2*g3^4*t^8.67 + 2*g2^3*g3^9*t^8.67 + (g2^4*g3^14*t^8.67)/g1^2 - (g1^3*t^8.72)/g3^11 - (3*g1*g2*t^8.72)/g3^6 - (3*g2^2*t^8.72)/(g1*g3) - (g2^3*g3^4*t^8.72)/g1^3 - (g1^2*t^8.77)/(g2*g3^8) - (2*t^8.77)/g3^3 - (g2*g3^2*t^8.77)/g1^2 - t^8.82/(g1*g2) - (g1*t^8.82)/(g2^2*g3^5) - (g1*t^8.92)/(g2^5*g3^4) - (g3*t^8.92)/(g1*g2^4) + t^8.77/(g3^3*y^2) - t^3.92/(g3*y) - t^4.85/(g3^2*y) - (g1*g2*t^6.64)/(g3^7*y) - (g2^2*t^6.64)/(g1*g3^2*y) - t^6.69/(g3^4*y) - (g1*g2*t^7.1)/(g3*y) - (g2^2*g3^4*t^7.1)/(g1*y) - (g1*g2*t^7.56)/(g3^8*y) - (g2^2*t^7.56)/(g1*g3^3*y) - t^7.62/(g3^5*y) - (g1*g2*t^8.03)/(g3^2*y) - (g2^2*g3^3*t^8.03)/(g1*y) + (g2^3*t^8.43)/(g3^7*y) + (g1*g2*t^8.49)/(g3^9*y) + (g2^2*t^8.49)/(g1*g3^4*y) + (g1^2*g2^2*t^8.9)/(g3^6*y) + (2*g2^3*t^8.9)/(g3*y) + (g2^4*g3^4*t^8.9)/(g1^2*y) - (t^3.92*y)/g3 - (t^4.85*y)/g3^2 - (g1*g2*t^6.64*y)/g3^7 - (g2^2*t^6.64*y)/(g1*g3^2) - (t^6.69*y)/g3^4 - (g1*g2*t^7.1*y)/g3 - (g2^2*g3^4*t^7.1*y)/g1 - (g1*g2*t^7.56*y)/g3^8 - (g2^2*t^7.56*y)/(g1*g3^3) - (t^7.62*y)/g3^5 - (g1*g2*t^8.03*y)/g3^2 - (g2^2*g3^3*t^8.03*y)/g1 + (g2^3*t^8.43*y)/g3^7 + (g1*g2*t^8.49*y)/g3^9 + (g2^2*t^8.49*y)/(g1*g3^4) + (g1^2*g2^2*t^8.9*y)/g3^6 + (2*g2^3*t^8.9*y)/g3 + (g2^4*g3^4*t^8.9*y)/g1^2 + (t^8.77*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59065 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4412 | 1.6241 | 0.8874 | [X:[1.3467], M:[0.974, 1.02], q:[0.4909, 0.4449], qb:[0.5351, 0.5691], phi:[0.3267]] | t^2.92 + t^2.94 + t^3.04 + t^3.06 + t^3.18 + t^3.92 + t^4.02 + t^4.04 + t^4.06 + t^4.16 + t^4.9 + t^5. + t^5.04 + t^5.12 + t^5.14 + t^5.26 + t^5.84 + t^5.88 + t^5.96 + 2*t^5.98 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 60162 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4457 | 1.624 | 0.8902 | [X:[1.3722], M:[0.928, 0.928, 1.0583], q:[0.4917, 0.4917], qb:[0.5803, 0.5529], phi:[0.3139]] | 2*t^2.78 + 2*t^3.13 + t^3.17 + 2*t^4.08 + t^4.12 + 2*t^4.16 + 2*t^5.02 + 2*t^5.1 + 2*t^5.37 + 3*t^5.57 + 3*t^5.92 + 2*t^5.96 - 5*t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 58975 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.3239 | 1.4817 | 0.8935 | [X:[1.415], M:[1.1701, 0.8149], q:[0.414, 0.7692], qb:[0.4159, 0.6458], phi:[0.2925]] | t^2.44 + t^2.63 + t^3.18 + t^3.37 + t^3.51 + t^4.06 + 3*t^4.24 + t^4.43 + t^4.89 + t^5.08 + t^5.12 + t^5.27 + t^5.31 + t^5.62 + t^5.67 + t^5.81 + t^5.95 - t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47913 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4595 | 1.6464 | 0.8865 | [X:[1.3609], M:[0.922, 0.922], q:[0.52, 0.52], qb:[0.558, 0.4848], phi:[0.3195]] | 2*t^2.766 + t^2.876 + 2*t^3.015 + 2*t^3.973 + t^4.083 + 2*t^4.193 + 2*t^4.932 + 2*t^5.151 + 3*t^5.532 + t^5.542 + 2*t^5.639 + 2*t^5.642 + t^5.751 + t^5.761 + 3*t^5.781 + 2*t^5.89 - 6*t^6. - t^3.959/y - t^4.917/y - t^3.959*y - t^4.917*y | detail |