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 |
|---|---|---|---|---|---|---|---|---|---|
| 45959 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6135 | 0.7921 | 0.7745 | [X:[], M:[0.9638, 0.7321, 1.0362], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | [X:[], M:[[4, 4], [-5, 7], [-4, -4]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^6.05 + t^6.21 + t^6.22 + t^6.26 + 2*t^6.37 + 2*t^6.42 + 2*t^6.43 + t^6.48 + t^6.53 + 4*t^6.59 + 3*t^6.64 + t^6.65 + 2*t^6.7 + t^6.75 + t^6.85 + t^6.86 + t^6.9 - t^6.91 + t^6.96 + 3*t^7.07 + 2*t^7.12 - t^7.13 + t^7.17 + 2*t^7.28 + t^7.39 + 6*t^7.5 + 2*t^7.54 + t^7.55 + t^7.6 + t^7.61 + t^7.71 + t^7.72 + t^7.76 - t^7.77 + t^7.81 + t^7.87 + 4*t^7.93 + 5*t^7.98 + t^8.02 + 2*t^8.03 + t^8.09 + t^8.14 - 6*t^8.2 - 5*t^8.25 - t^8.3 + t^8.35 + 3*t^8.4 + 2*t^8.41 + 5*t^8.46 + t^8.47 + 2*t^8.51 + t^8.56 + 3*t^8.57 + 2*t^8.62 + 2*t^8.63 - 2*t^8.67 + 6*t^8.78 + 4*t^8.84 + t^8.85 + t^8.88 + 3*t^8.89 + t^8.93 + 2*t^8.94 - t^4.55/y - t^6.75/y + t^7.39/y + (3*t^7.45)/y - t^7.66/y + (2*t^7.87)/y + t^7.92/y + (4*t^8.3)/y + (3*t^8.36)/y + (2*t^8.52)/y + t^8.58/y + (2*t^8.73)/y + (5*t^8.78)/y + t^8.84/y + t^8.95/y - t^4.55*y - t^6.75*y + t^7.39*y + 3*t^7.45*y - t^7.66*y + 2*t^7.87*y + t^7.92*y + 4*t^8.3*y + 3*t^8.36*y + 2*t^8.52*y + t^8.58*y + 2*t^8.73*y + 5*t^8.78*y + t^8.84*y + t^8.95*y | (2*g2^7*t^2.2)/g1^5 + (g1^7*t^2.25)/g2^5 + g1^12*g2^12*t^2.67 + (2*t^3.11)/(g1^4*g2^4) + t^3.33/(g1^12*g2^12) + g1*g2^13*t^3.53 + g1^13*g2*t^3.59 + (g2^5*t^3.75)/g1^7 + (g2^22*t^4.18)/g1^2 + g1^10*g2^10*t^4.23 + (g1^22*t^4.28)/g2^2 + (3*g2^14*t^4.39)/g1^10 + 2*g1^2*g2^2*t^4.45 + (g1^14*t^4.5)/g2^10 + 2*g1^7*g2^19*t^4.87 + g1^19*g2^7*t^4.92 + (4*g2^3*t^5.3)/g1^9 + g1^24*g2^24*t^5.35 + (2*g1^3*t^5.36)/g2^9 + t^5.52/(g1^17*g2^5) + (2*g2^20*t^5.73)/g1^4 + 4*g1^8*g2^8*t^5.78 + (g1^20*t^5.84)/g2^4 + (g2^12*t^5.95)/g1^12 - 2*t^6. - (g1^12*t^6.05)/g2^12 + g1^13*g2^25*t^6.21 + t^6.22/(g1^8*g2^8) + g1^25*g2^13*t^6.26 + (2*g2^29*t^6.37)/g1^7 + 2*g1^5*g2^17*t^6.42 + (2*t^6.43)/(g1^16*g2^16) + g1^17*g2^5*t^6.48 + (g1^29*t^6.53)/g2^7 + (4*g2^21*t^6.59)/g1^15 + (3*g2^9*t^6.64)/g1^3 + t^6.65/(g1^24*g2^24) + (2*g1^9*t^6.7)/g2^3 + (g1^21*t^6.75)/g2^15 + g1^10*g2^34*t^6.85 + (g2*t^6.86)/g1^11 + g1^22*g2^22*t^6.9 - (g1*t^6.91)/g2^11 + g1^34*g2^10*t^6.96 + 3*g1^2*g2^26*t^7.07 + 2*g1^14*g2^14*t^7.12 - t^7.13/(g1^7*g2^19) + g1^26*g2^2*t^7.17 + (2*g2^18*t^7.28)/g1^6 + (g1^18*t^7.39)/g2^6 + (6*g2^10*t^7.5)/g1^14 + 2*g1^19*g2^31*t^7.54 + t^7.55/(g1^2*g2^2) + g1^31*g2^19*t^7.6 + (g1^10*t^7.61)/g2^14 + (g2^35*t^7.71)/g1 + (g2^2*t^7.72)/g1^22 + g1^11*g2^23*t^7.76 - t^7.77/(g1^10*g2^10) + g1^23*g2^11*t^7.81 + (g1^35*t^7.87)/g2 + (4*g2^27*t^7.93)/g1^9 + 5*g1^3*g2^15*t^7.98 + g1^36*g2^36*t^8.02 + 2*g1^15*g2^3*t^8.03 + (g1^27*t^8.09)/g2^9 + (g2^19*t^8.14)/g1^17 - (6*g2^7*t^8.2)/g1^5 - (5*g1^7*t^8.25)/g2^5 - (g1^19*t^8.3)/g2^17 + (g2^44*t^8.35)/g1^4 + 3*g1^8*g2^32*t^8.4 + (2*t^8.41)/(g1^13*g2) + 5*g1^20*g2^20*t^8.46 + t^8.47/(g1*g2^13) + 2*g1^32*g2^8*t^8.51 + (g1^44*t^8.56)/g2^4 + (3*g2^36*t^8.57)/g1^12 + 2*g2^24*t^8.62 + (2*t^8.63)/(g1^21*g2^9) - 2*g1^12*g2^12*t^8.67 + (g1^36*t^8.78)/g2^12 + (5*g2^28*t^8.78)/g1^20 + (4*g2^16*t^8.84)/g1^8 + t^8.85/(g1^29*g2^17) + g1^25*g2^37*t^8.88 + 3*g1^4*g2^4*t^8.89 + g1^37*g2^25*t^8.93 + (2*g1^16*t^8.94)/g2^8 - t^4.55/(g1^2*g2^2*y) - (g2^5*t^6.75)/(g1^7*y) + (g2^14*t^7.39)/(g1^10*y) + (3*g1^2*g2^2*t^7.45)/y - t^7.66/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.87)/y + (g1^19*g2^7*t^7.92)/y + (4*g2^3*t^8.3)/(g1^9*y) + (3*g1^3*t^8.36)/(g2^9*y) + (2*t^8.52)/(g1^17*g2^5*y) + t^8.58/(g1^5*g2^17*y) + (2*g2^20*t^8.73)/(g1^4*y) + (5*g1^8*g2^8*t^8.78)/y + (g1^20*t^8.84)/(g2^4*y) + (g2^12*t^8.95)/(g1^12*y) - (t^4.55*y)/(g1^2*g2^2) - (g2^5*t^6.75*y)/g1^7 + (g2^14*t^7.39*y)/g1^10 + 3*g1^2*g2^2*t^7.45*y - (t^7.66*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.87*y + g1^19*g2^7*t^7.92*y + (4*g2^3*t^8.3*y)/g1^9 + (3*g1^3*t^8.36*y)/g2^9 + (2*t^8.52*y)/(g1^17*g2^5) + (t^8.58*y)/(g1^5*g2^17) + (2*g2^20*t^8.73*y)/g1^4 + 5*g1^8*g2^8*t^8.78*y + (g1^20*t^8.84*y)/g2^4 + (g2^12*t^8.95*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46124 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6064 | 0.7787 | 0.7788 | [X:[], M:[0.9857, 0.7364, 1.0143, 1.043], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.21 + t^2.27 + 2*t^3.04 + 2*t^3.13 + t^3.64 + t^3.7 + t^3.73 + t^4.33 + t^4.39 + 3*t^4.42 + t^4.45 + 2*t^4.48 + t^4.54 + 4*t^5.25 + 2*t^5.31 + 3*t^5.34 + t^5.4 + 2*t^5.85 + 2*t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.52/y - t^4.52*y | detail | |
| 46266 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.6133 | 0.7914 | 0.7749 | [X:[], M:[0.9637, 0.7409, 1.0363], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | 3*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + t^3.78 + 3*t^4.23 + 6*t^4.45 + 3*t^4.9 + 6*t^5.33 + t^5.35 + t^5.55 + 7*t^5.78 - 2*t^6. - t^4.55/y - t^4.55*y | detail | |
| 46125 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5509 | 0.7087 | 0.7773 | [X:[], M:[1.0508, 0.8475, 0.9492], q:[0.7627, 0.1865], qb:[0.4915, 0.661], phi:[0.4746]] | t^2.03 + 3*t^2.54 + 2*t^2.85 + t^3.46 + t^3.76 + t^3.97 + t^4.07 + t^4.27 + t^4.37 + 2*t^4.58 + 3*t^4.88 + 5*t^5.09 + 7*t^5.39 + t^5.7 + t^5.8 - t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45920 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [X:[], M:[0.9566, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.19 + t^2.24 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.5 + t^3.55 + t^3.76 + t^4.12 + t^4.17 + t^4.23 + 3*t^4.38 + 2*t^4.43 + t^4.49 + 2*t^4.8 + t^4.85 + 2*t^5.06 + t^5.11 + t^5.22 + 2*t^5.32 + t^5.37 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.74 + t^5.79 + t^5.95 - t^6. - t^4.57/y - t^4.57*y | detail |