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 |
|---|---|---|---|---|---|---|---|---|---|
| 57687 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.445 | 1.6324 | 0.8852 | [X:[1.3412], M:[0.955], q:[0.5869, 0.4968], qb:[0.4581, 0.4816], phi:[0.3294]] | [X:[[0, 2]], M:[[-3, 17]], q:[[2, -11], [-4, 23]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.86 + t^2.94 + t^2.96 + t^3.21 + t^3.85 + t^3.92 + t^4.02 + t^4.12 + t^4.19 + t^4.84 + t^4.91 + t^5.11 + 2*t^5.18 + t^5.25 + 3*t^5.73 + 2*t^5.8 + 2*t^5.83 + t^5.87 + t^5.9 - 3*t^6. + t^6.07 + t^6.14 + 2*t^6.17 + t^6.24 - t^6.27 + t^6.41 + 2*t^6.72 + 3*t^6.79 + t^6.82 + t^6.86 + 3*t^6.89 - t^6.92 + t^6.96 + t^6.99 + 2*t^7.06 + 2*t^7.09 + 2*t^7.13 + 2*t^7.16 + 2*t^7.23 - t^7.26 + t^7.3 + t^7.4 + t^7.44 + 3*t^7.71 + 4*t^7.78 + 2*t^7.85 - t^7.91 + t^7.98 + 5*t^8.05 + t^8.08 + 5*t^8.12 + 2*t^8.15 + t^8.19 + t^8.22 + 2*t^8.39 + t^8.46 - t^8.52 + 3*t^8.59 + 3*t^8.67 + 4*t^8.69 + 2*t^8.74 + 4*t^8.77 - t^8.79 + t^8.81 + 2*t^8.84 - 7*t^8.86 - 2*t^8.94 - t^8.96 + t^8.96/y^2 - t^3.99/y - t^4.98/y - (2*t^6.85)/y - t^6.92/y - t^6.95/y - t^7.19/y - (2*t^7.84)/y - t^7.91/y - t^7.94/y - t^8.18/y + t^8.73/y + (2*t^8.8)/y + t^8.83/y - t^3.99*y - t^4.98*y - 2*t^6.85*y - t^6.92*y - t^6.95*y - t^7.19*y - 2*t^7.84*y - t^7.91*y - t^7.94*y - t^8.18*y + t^8.73*y + 2*t^8.8*y + t^8.83*y + t^8.96*y^2 | (2*g2^17*t^2.86)/g1^3 + (g2^23*t^2.94)/g1^3 + t^2.96/g2^3 + (g1^3*t^3.21)/g2^11 + (g2^16*t^3.85)/g1^3 + (g2^22*t^3.92)/g1^3 + g2^2*t^4.02 + (g1^3*t^4.12)/g2^18 + (g1^3*t^4.19)/g2^12 + (g2^15*t^4.84)/g1^3 + (g2^21*t^4.91)/g1^3 + (g1^3*t^5.11)/g2^19 + (2*g1^3*t^5.18)/g2^13 + (g1^3*t^5.25)/g2^7 + (3*g2^34*t^5.73)/g1^6 + (2*g2^40*t^5.8)/g1^6 + (2*g2^14*t^5.83)/g1^3 + (g2^46*t^5.87)/g1^6 + (g2^20*t^5.9)/g1^3 - 3*t^6. + g2^6*t^6.07 + g2^12*t^6.14 + (2*g1^3*t^6.17)/g2^14 + (g1^3*t^6.24)/g2^8 - (g1^6*t^6.27)/g2^34 + (g1^6*t^6.41)/g2^22 + (2*g2^33*t^6.72)/g1^6 + (3*g2^39*t^6.79)/g1^6 + (g2^13*t^6.82)/g1^3 + (g2^45*t^6.86)/g1^6 + (3*g2^19*t^6.89)/g1^3 - t^6.92/g2^7 + (g2^25*t^6.96)/g1^3 + t^6.99/g2 + 2*g2^5*t^7.06 + (2*g1^3*t^7.09)/g2^21 + 2*g2^11*t^7.13 + (2*g1^3*t^7.16)/g2^15 + (2*g1^3*t^7.23)/g2^9 - (g1^6*t^7.26)/g2^35 + (g1^3*t^7.3)/g2^3 + (g1^6*t^7.4)/g2^23 + (g2^66*t^7.44)/g1^12 + (3*g2^32*t^7.71)/g1^6 + (4*g2^38*t^7.78)/g1^6 + (2*g2^44*t^7.85)/g1^6 - t^7.91/g2^8 + t^7.98/g2^2 + 5*g2^4*t^8.05 + (g1^3*t^8.08)/g2^22 + 5*g2^10*t^8.12 + (2*g1^3*t^8.15)/g2^16 + g2^16*t^8.19 + (g1^3*t^8.22)/g2^10 + (2*g1^6*t^8.39)/g2^24 + (g1^6*t^8.46)/g2^18 - (g2^45*t^8.52)/g1^9 + (3*g2^51*t^8.59)/g1^9 + (3*g2^57*t^8.67)/g1^9 + (4*g2^31*t^8.69)/g1^6 + (2*g2^63*t^8.74)/g1^9 + (4*g2^37*t^8.77)/g1^6 - (g2^11*t^8.79)/g1^3 + (g2^69*t^8.81)/g1^9 + (2*g2^43*t^8.84)/g1^6 - (7*g2^17*t^8.86)/g1^3 - (2*g2^23*t^8.94)/g1^3 - t^8.96/g2^3 + t^8.96/(g2^3*y^2) - t^3.99/(g2*y) - t^4.98/(g2^2*y) - (2*g2^16*t^6.85)/(g1^3*y) - (g2^22*t^6.92)/(g1^3*y) - t^6.95/(g2^4*y) - (g1^3*t^7.19)/(g2^12*y) - (2*g2^15*t^7.84)/(g1^3*y) - (g2^21*t^7.91)/(g1^3*y) - t^7.94/(g2^5*y) - (g1^3*t^8.18)/(g2^13*y) + (g2^34*t^8.73)/(g1^6*y) + (2*g2^40*t^8.8)/(g1^6*y) + (g2^14*t^8.83)/(g1^3*y) - (t^3.99*y)/g2 - (t^4.98*y)/g2^2 - (2*g2^16*t^6.85*y)/g1^3 - (g2^22*t^6.92*y)/g1^3 - (t^6.95*y)/g2^4 - (g1^3*t^7.19*y)/g2^12 - (2*g2^15*t^7.84*y)/g1^3 - (g2^21*t^7.91*y)/g1^3 - (t^7.94*y)/g2^5 - (g1^3*t^8.18*y)/g2^13 + (g2^34*t^8.73*y)/g1^6 + (2*g2^40*t^8.8*y)/g1^6 + (g2^14*t^8.83*y)/g1^3 + (t^8.96*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59037 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4657 | 1.672 | 0.8766 | [X:[1.3425], M:[0.9572, 0.6865], q:[0.5856, 0.5], qb:[0.4572, 0.4848], phi:[0.3287]] | t^2.06 + 2*t^2.87 + t^2.95 + t^2.96 + t^3.21 + t^3.86 + t^4.03 + t^4.11 + t^4.12 + t^4.2 + t^4.84 + 3*t^4.93 + t^5.01 + t^5.02 + t^5.1 + 2*t^5.18 + 2*t^5.27 + 3*t^5.74 + 4*t^5.83 + 2*t^5.91 + t^5.92 - 3*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 59466 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0854 | 1.1915 | 0.911 | [X:[1.5152], M:[1.2121], q:[0.4444, 0.8687], qb:[0.3434, 0.8889], phi:[0.2424]] | t^2.18 + t^3.09 + 2*t^3.64 + t^3.82 + t^4. + t^4.36 + t^4.55 + 3*t^5.27 + t^5.45 + t^5.82 - t^6. - t^3.73/y - t^4.45/y - t^5.91/y - t^3.73*y - t^4.45*y - t^5.91*y | detail | {a: 394/363, c: 865/726, X1: 50/33, M1: 40/33, q1: 4/9, q2: 86/99, qb1: 34/99, qb2: 8/9, phi1: 8/33} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47920 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4749 | 1.6855 | 0.8751 | [M:[0.9816], q:[0.5159, 0.4791], qb:[0.5025, 0.4919], phi:[0.3351]] | t^2.011 + t^2.913 + 2*t^2.945 + t^3.016 + t^3.023 + t^3.918 + t^3.95 + t^4.021 + t^4.028 + t^4.06 + 2*t^4.924 + 3*t^4.956 + t^5.027 + 2*t^5.034 + t^5.066 + t^5.428 + t^5.464 + t^5.496 + t^5.538 + t^5.826 + 2*t^5.858 + 2*t^5.89 + 2*t^5.929 + t^5.936 + 3*t^5.961 + t^5.968 - 4*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |