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 |
|---|---|---|---|---|---|---|---|---|---|
| 57614 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4493 | 1.6336 | 0.8871 | [X:[1.3566], M:[0.9102], q:[0.4996, 0.5894], qb:[0.5004, 0.4804], phi:[0.3217]] | [X:[[0, 2]], M:[[3, -17]], q:[[2, -11], [-1, 6]], qb:[[-2, 11], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.73 + t^2.9 + t^2.94 + t^3. + t^3.21 + t^3.91 + t^3.97 + t^4.07 + t^4.17 + t^4.23 + t^4.87 + t^4.93 + t^5.14 + t^5.2 + t^5.35 + t^5.41 + t^5.46 + t^5.63 + t^5.67 + t^5.73 + t^5.79 + t^5.84 + t^5.88 + t^5.9 + t^5.94 - 2*t^6. - t^6.06 + t^6.1 + t^6.15 + t^6.21 - t^6.27 + t^6.31 + t^6.37 + t^6.42 + t^6.64 + t^6.7 + 2*t^6.8 + t^6.84 + t^6.86 + 2*t^6.91 + t^6.97 + t^7.01 - t^7.03 + 2*t^7.07 + 2*t^7.11 + t^7.13 + 2*t^7.17 + t^7.22 + 2*t^7.28 + t^7.34 + t^7.38 + t^7.39 + t^7.4 + t^7.6 + t^7.66 + 2*t^7.81 + 3*t^7.87 + 2*t^7.93 - t^7.99 + t^8.03 + 3*t^8.08 + t^8.09 + 4*t^8.14 + t^8.19 + t^8.2 + t^8.24 + t^8.29 + t^8.3 + 3*t^8.35 + t^8.36 + t^8.4 + t^8.41 + t^8.56 + t^8.57 + t^8.61 + t^8.62 + t^8.63 + t^8.67 + t^8.69 - 2*t^8.73 + 2*t^8.78 - t^8.79 + t^8.82 + 3*t^8.84 + t^8.88 - 2*t^8.94 - t^8.96 + t^8.9/y^2 - t^3.97/y - t^4.93/y - t^6.7/y - t^6.86/y - t^6.91/y - t^6.97/y - t^7.17/y - t^7.66/y - t^7.83/y - t^7.87/y - t^7.93/y - t^8.14/y + t^8.63/y + t^8.67/y + t^8.73/y + (2*t^8.94)/y - t^3.97*y - t^4.93*y - t^6.7*y - t^6.86*y - t^6.91*y - t^6.97*y - t^7.17*y - t^7.66*y - t^7.83*y - t^7.87*y - t^7.93*y - t^8.14*y + t^8.63*y + t^8.67*y + t^8.73*y + 2*t^8.94*y + t^8.9*y^2 | (g1^3*t^2.73)/g2^17 + t^2.9/g2^3 + (g1^3*t^2.94)/g2^11 + t^3. + g2^6*t^3.21 + (g1^3*t^3.91)/g2^12 + t^3.97/g2 + g2^2*t^4.07 + g2^5*t^4.17 + (g2^16*t^4.23)/g1^3 + (g1^3*t^4.87)/g2^13 + t^4.93/g2^2 + g2^4*t^5.14 + (g2^15*t^5.2)/g1^3 + g2^10*t^5.35 + (g2^21*t^5.41)/g1^3 + (g1^6*t^5.46)/g2^34 + (g1^3*t^5.63)/g2^20 + (g1^6*t^5.67)/g2^28 + (g1^3*t^5.73)/g2^17 + t^5.79/g2^6 + (g1^3*t^5.84)/g2^14 + (g1^6*t^5.88)/g2^22 + t^5.9/g2^3 + (g1^3*t^5.94)/g2^11 - 2*t^6. - (g2^11*t^6.06)/g1^3 + g2^3*t^6.1 + (g1^3*t^6.15)/g2^5 + g2^6*t^6.21 - (g2^17*t^6.27)/g1^3 + g2^9*t^6.31 + (g2^20*t^6.37)/g1^3 + g2^12*t^6.42 + (g1^6*t^6.64)/g2^29 + (g1^3*t^6.7)/g2^18 + (2*g1^3*t^6.8)/g2^15 + (g1^6*t^6.84)/g2^23 + t^6.86/g2^4 + (2*g1^3*t^6.91)/g2^12 + t^6.97/g2 + (g1^3*t^7.01)/g2^9 - (g2^10*t^7.03)/g1^3 + 2*g2^2*t^7.07 + (2*g1^3*t^7.11)/g2^6 + (g2^13*t^7.13)/g1^3 + 2*g2^5*t^7.17 + (g1^3*t^7.22)/g2^3 + 2*g2^8*t^7.28 + (g2^19*t^7.34)/g1^3 + g2^11*t^7.38 + (g1^6*t^7.39)/g2^36 + (g2^30*t^7.4)/g1^6 + (g1^6*t^7.6)/g2^30 + (g1^3*t^7.66)/g2^19 + (2*g1^6*t^7.81)/g2^24 + (3*g1^3*t^7.87)/g2^13 + (2*t^7.93)/g2^2 - (g2^9*t^7.99)/g1^3 + g2*t^8.03 + (3*g1^3*t^8.08)/g2^7 + (g2^12*t^8.09)/g1^3 + 4*g2^4*t^8.14 + (g1^9*t^8.19)/g2^51 + (g2^15*t^8.2)/g1^3 + g2^7*t^8.24 + (g1^3*t^8.29)/g2 + (g2^18*t^8.3)/g1^3 + 3*g2^10*t^8.35 + (g1^6*t^8.36)/g2^37 + (g1^9*t^8.4)/g2^45 + (g2^21*t^8.41)/g1^3 + g2^16*t^8.56 + (g1^6*t^8.57)/g2^31 + (g1^9*t^8.61)/g2^39 + (g2^27*t^8.62)/g1^3 + (g1^3*t^8.63)/g2^20 + (g1^6*t^8.67)/g2^28 + t^8.69/g2^9 - (2*g1^3*t^8.73)/g2^17 + (2*g1^6*t^8.78)/g2^25 - t^8.79/g2^6 + (g1^9*t^8.82)/g2^33 + (3*g1^3*t^8.84)/g2^14 + (g1^6*t^8.88)/g2^22 - (2*g1^3*t^8.94)/g2^11 - (g2^8*t^8.96)/g1^3 + t^8.9/(g2^3*y^2) - t^3.97/(g2*y) - t^4.93/(g2^2*y) - (g1^3*t^6.7)/(g2^18*y) - t^6.86/(g2^4*y) - (g1^3*t^6.91)/(g2^12*y) - t^6.97/(g2*y) - (g2^5*t^7.17)/y - (g1^3*t^7.66)/(g2^19*y) - t^7.83/(g2^5*y) - (g1^3*t^7.87)/(g2^13*y) - t^7.93/(g2^2*y) - (g2^4*t^8.14)/y + (g1^3*t^8.63)/(g2^20*y) + (g1^6*t^8.67)/(g2^28*y) + (g1^3*t^8.73)/(g2^17*y) + (2*g1^3*t^8.94)/(g2^11*y) - (t^3.97*y)/g2 - (t^4.93*y)/g2^2 - (g1^3*t^6.7*y)/g2^18 - (t^6.86*y)/g2^4 - (g1^3*t^6.91*y)/g2^12 - (t^6.97*y)/g2 - g2^5*t^7.17*y - (g1^3*t^7.66*y)/g2^19 - (t^7.83*y)/g2^5 - (g1^3*t^7.87*y)/g2^13 - (t^7.93*y)/g2^2 - g2^4*t^8.14*y + (g1^3*t^8.63*y)/g2^20 + (g1^6*t^8.67*y)/g2^28 + (g1^3*t^8.73*y)/g2^17 + (2*g1^3*t^8.94*y)/g2^11 + (t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 60072 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.47 | 1.6746 | 0.8778 | [X:[1.3564], M:[0.9104, 0.6782], q:[0.4997, 0.5893], qb:[0.5003, 0.48], phi:[0.3218]] | t^2.03 + t^2.73 + t^2.9 + t^2.94 + t^3. + t^3.21 + t^3.9 + 2*t^4.07 + t^4.17 + t^4.23 + t^4.77 + t^4.87 + 2*t^4.93 + t^4.97 + t^5.03 + t^5.14 + t^5.2 + t^5.24 + t^5.35 + t^5.41 + t^5.46 + t^5.63 + t^5.67 + t^5.73 + t^5.79 + t^5.84 + t^5.88 + t^5.9 + 2*t^5.94 - 2*t^6. - t^3.97/y - t^4.93/y - t^6./y - t^3.97*y - t^4.93*y - t^6.*y | detail | |
| 58574 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4245 | 1.6019 | 0.8893 | [X:[1.3952], M:[0.7905], q:[0.4262, 0.6357], qb:[0.5738, 0.55], phi:[0.3024]] | t^2.37 + t^2.72 + t^2.93 + t^3. + t^3.56 + t^3.84 + t^3.91 + t^4.19 + t^4.46 + t^4.54 + 2*t^4.74 + t^4.81 + t^5.09 + t^5.3 + 2*t^5.37 + 2*t^5.44 + t^5.65 + t^5.72 + t^5.86 + 2*t^5.93 - t^6. - t^3.91/y - t^4.81/y - t^3.91*y - t^4.81*y | detail | |
| 60565 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ | 1.3191 | 1.4977 | 0.8808 | [X:[1.3573, 1.3573], M:[0.6427], q:[0.3214, 0.6786], qb:[0.6786, 0.3931], phi:[0.3214]] | t^2.14 + t^2.89 + t^3. + t^3.11 + t^3.22 + t^3.96 + 3*t^4.07 + t^4.18 + t^4.29 + t^4.93 + 2*t^5.04 + t^5.14 + t^5.25 + 2*t^5.36 + 2*t^5.78 + t^5.89 - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail | |
| 60087 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.445 | 1.6249 | 0.8893 | [X:[1.3605], M:[0.9592], q:[0.5329, 0.5737], qb:[0.4671, 0.5079], phi:[0.3197]] | 2*t^2.88 + t^3. + t^3.12 + t^3.24 + t^3.96 + 3*t^4.08 + t^4.2 + t^4.92 + 2*t^5.04 + t^5.16 + t^5.29 + t^5.41 + 3*t^5.76 + t^5.88 - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 60720 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8715 | 0.9005 | 0.9679 | [X:[1.6749, 1.5123], M:[0.9754], q:[0.5961, 0.6207], qb:[0.4039, 1.4039], phi:[0.1626]] | t^2.93 + t^3.56 + t^4.05 + t^4.54 + t^5.02 + t^5.1 + t^5.85 - 2*t^6. - t^3.49/y - t^3.98/y - t^3.49*y - t^3.98*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47930 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.866 + t^2.914 + t^2.976 + t^3. + t^3.049 + t^3.906 + t^3.992 + t^4.016 + t^4.041 + t^4.126 + t^4.898 + t^4.984 + t^5.033 + t^5.118 + t^5.463 + t^5.484 + t^5.57 + t^5.597 + t^5.731 + t^5.78 + t^5.829 + t^5.841 + t^5.89 + t^5.914 + t^5.951 + t^5.963 + t^5.976 - 3*t^6. - t^3.992/y - t^4.984/y - t^3.992*y - t^4.984*y | detail |