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 |
|---|---|---|---|---|---|---|---|---|---|
| 57689 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4957 | 1.7262 | 0.8665 | [X:[], M:[0.9832, 0.6815], q:[0.5141, 0.4805], qb:[0.5027, 0.4914], phi:[0.3352]] | [X:[], M:[[1, 6, 0], [-1, -7, 1]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -4 | t^2.01 + t^2.04 + t^2.92 + 2*t^2.95 + 2*t^3.02 + t^3.92 + 2*t^4.02 + 2*t^4.06 + t^4.09 + 2*t^4.93 + 4*t^4.96 + 2*t^4.99 + 3*t^5.03 + 3*t^5.06 + t^5.43 + t^5.46 + t^5.5 + t^5.53 + t^5.83 + 2*t^5.87 + 2*t^5.9 + 3*t^5.93 + 4*t^5.97 - 4*t^6. + 4*t^6.03 + 3*t^6.07 + t^6.1 + t^6.13 + t^6.44 + t^6.47 + t^6.5 + t^6.54 + t^6.84 + 2*t^6.87 - t^6.91 + 5*t^6.94 + 7*t^6.97 + 3*t^7.01 + 6*t^7.04 + 6*t^7.07 + 2*t^7.11 + t^7.34 + 2*t^7.44 + 2*t^7.47 + 2*t^7.51 + 3*t^7.54 + t^7.58 + t^7.64 + 3*t^7.84 + 6*t^7.88 + 4*t^7.91 + 8*t^7.94 + 10*t^7.98 - t^8.01 + t^8.04 + 8*t^8.08 + 2*t^8.11 + t^8.15 + t^8.18 + t^8.35 + 2*t^8.38 + t^8.41 + 4*t^8.45 + 3*t^8.48 + 3*t^8.51 - 2*t^8.52 + 2*t^8.55 - t^8.58 - t^8.62 + t^8.75 + 2*t^8.78 + 2*t^8.82 + 6*t^8.85 + 7*t^8.88 - 2*t^8.92 + 15*t^8.98 - t^4.01/y - t^5.01/y - t^6.02/y - t^6.05/y - t^6.92/y - (2*t^6.96)/y - (3*t^7.02)/y + (2*t^7.96)/y + (3*t^7.99)/y - t^8.03/y + t^8.06/y - t^8.09/y + (2*t^8.87)/y + t^8.9/y + t^8.93/y + (2*t^8.97)/y - t^4.01*y - t^5.01*y - t^6.02*y - t^6.05*y - t^6.92*y - 2*t^6.96*y - 3*t^7.02*y + 2*t^7.96*y + 3*t^7.99*y - t^8.03*y + t^8.06*y - t^8.09*y + 2*t^8.87*y + t^8.9*y + t^8.93*y + 2*t^8.97*y | (g2^2*t^2.01)/g3^2 + (g3*t^2.04)/(g1*g2^7) + g1*g3^6*t^2.92 + 2*g1*g2^6*t^2.95 + (g2^3*t^3.02)/g3^3 + (g3^6*t^3.02)/(g1*g2^12) + g1*g2*g3^5*t^3.92 + (g2^4*t^4.02)/g3^4 + (g3^5*t^4.02)/(g1*g2^11) + (2*t^4.06)/(g1*g2^5*g3) + (g3^2*t^4.09)/(g1^2*g2^14) + 2*g1*g2^2*g3^4*t^4.93 + (3*g1*g2^8*t^4.96)/g3^2 + (g3^7*t^4.96)/g2^7 + (2*g3*t^4.99)/g2 + (g2^5*t^5.03)/g3^5 + (2*g3^4*t^5.03)/(g1*g2^10) + (2*t^5.06)/(g1*g2^4*g3^2) + (g3^7*t^5.06)/(g1^2*g2^19) + (g1*t^5.43)/(g2^11*g3) + g2^7*g3^11*t^5.46 + g2^13*g3^5*t^5.5 + t^5.53/(g1*g2^23*g3) + g1^2*g3^12*t^5.83 + 2*g1^2*g2^6*g3^6*t^5.87 + 2*g1^2*g2^12*t^5.9 + 2*g1*g2^3*g3^3*t^5.93 + (g3^12*t^5.93)/g2^12 + (2*g1*g2^9*t^5.97)/g3^3 + (2*g3^6*t^5.97)/g2^6 - 4*t^6. + (g2^6*t^6.03)/g3^6 + (2*g3^3*t^6.03)/(g1*g2^9) + (g3^12*t^6.03)/(g1^2*g2^24) + (2*t^6.07)/(g1*g2^3*g3^3) + (g3^6*t^6.07)/(g1^2*g2^18) + t^6.1/(g1^2*g2^12) + (g3^3*t^6.13)/(g1^3*g2^21) + (g1*t^6.44)/(g2^10*g3^2) + g2^8*g3^10*t^6.47 + g2^14*g3^4*t^6.5 + t^6.54/(g1*g2^22*g3^2) + g1^2*g2*g3^11*t^6.84 + 2*g1^2*g2^7*g3^5*t^6.87 - (g1^2*g2^13*t^6.91)/g3 + 3*g1*g2^4*g3^2*t^6.94 + (2*g3^11*t^6.94)/g2^11 + (3*g1*g2^10*t^6.97)/g3^4 + (4*g3^5*t^6.97)/g2^5 + (2*g2*t^7.01)/g3 + (g3^8*t^7.01)/(g1*g2^14) + (5*g3^2*t^7.04)/(g1*g2^8) + (g3^11*t^7.04)/(g1^2*g2^23) + (3*t^7.07)/(g1*g2^2*g3^4) + (3*g3^5*t^7.07)/(g1^2*g2^17) + t^7.11/(g1^2*g2^11*g3) + (g3^8*t^7.11)/(g1^3*g2^26) + (g1^3*g2^3*t^7.34)/g3^3 + (2*g1*t^7.44)/(g2^9*g3^3) - g1*g2^18*g3^6*t^7.44 + g2^3*g3^15*t^7.44 + 2*g2^9*g3^9*t^7.47 - t^7.51/(g2^12*g3^6) + 2*g2^15*g3^3*t^7.51 + (g3^12*t^7.51)/g1 + (2*t^7.54)/(g1*g2^21*g3^3) + (g2^21*t^7.54)/g3^3 + t^7.58/(g1^2*g2^30) + t^7.64/(g1^3*g2^33*g3^3) + 3*g1^2*g2^2*g3^10*t^7.84 + 5*g1^2*g2^8*g3^4*t^7.88 + (g1*g3^13*t^7.88)/g2^7 + (3*g1^2*g2^14*t^7.91)/g3^2 + (g1*g3^7*t^7.91)/g2 + 4*g1*g2^5*g3*t^7.94 + (4*g3^10*t^7.94)/g2^10 + (3*g1*g2^11*t^7.98)/g3^5 + (6*g3^4*t^7.98)/g2^4 + (g3^13*t^7.98)/(g1*g2^19) - (2*g2^2*t^8.01)/g3^2 + (g3^7*t^8.01)/(g1*g2^13) - (2*g3*t^8.04)/(g1*g2^7) + (3*g3^10*t^8.04)/(g1^2*g2^22) + (3*t^8.08)/(g1*g2*g3^5) + (4*g3^4*t^8.08)/(g1^2*g2^16) + (g3^13*t^8.08)/(g1^3*g2^31) + t^8.11/(g1^2*g2^10*g3^2) + (g3^7*t^8.11)/(g1^3*g2^25) + (g3*t^8.15)/(g1^3*g2^19) + (g3^4*t^8.18)/(g1^4*g2^28) + (g1^2*g3^5*t^8.35)/g2^11 + (g1^2*t^8.38)/(g2^5*g3) + g1*g2^7*g3^17*t^8.38 - (g1^2*g2*t^8.41)/g3^7 + 2*g1*g2^13*g3^11*t^8.41 + (2*g1*t^8.45)/(g2^8*g3^4) + (2*g3^5*t^8.45)/g2^23 + t^8.48/(g2^17*g3) - (g1*g2^25*t^8.48)/g3 + 2*g2^10*g3^8*t^8.48 + (g3^17*t^8.48)/(g1*g2^5) + 2*g2^16*g3^2*t^8.51 + (g2*g3^11*t^8.51)/g1 - (2*t^8.52)/(g2^11*g3^7) + (2*t^8.55)/(g1*g2^20*g3^4) + (g3^5*t^8.55)/(g1^2*g2^35) - (g2^7*g3^5*t^8.55)/g1 - (g2^13*t^8.58)/(g1*g3) - t^8.62/(g1^2*g2^23*g3^7) + g1^3*g3^18*t^8.75 + 2*g1^3*g2^6*g3^12*t^8.78 + 2*g1^3*g2^12*g3^6*t^8.82 + 2*g1^3*g2^18*t^8.85 + 3*g1^2*g2^3*g3^9*t^8.85 + (g1*g3^18*t^8.85)/g2^12 + 5*g1^2*g2^9*g3^3*t^8.88 + (2*g1*g3^12*t^8.88)/g2^6 + (g1^2*g2^15*t^8.92)/g3^3 - 3*g1*g3^6*t^8.92 - 6*g1*g2^6*t^8.95 + (5*g3^9*t^8.95)/g2^9 + (g3^18*t^8.95)/(g1*g2^24) + (4*g1*g2^12*t^8.98)/g3^6 + (8*g3^3*t^8.98)/g2^3 + (3*g3^12*t^8.98)/(g1*g2^18) - (g2*t^4.01)/(g3*y) - (g2^2*t^5.01)/(g3^2*y) - (g2^3*t^6.02)/(g3^3*y) - t^6.05/(g1*g2^6*y) - (g1*g2*g3^5*t^6.92)/y - (2*g1*g2^7*t^6.96)/(g3*y) - (2*g2^4*t^7.02)/(g3^4*y) - (g3^5*t^7.02)/(g1*g2^11*y) + (g1*g2^8*t^7.96)/(g3^2*y) + (g3^7*t^7.96)/(g2^7*y) + (3*g3*t^7.99)/(g2*y) - (g2^5*t^8.03)/(g3^5*y) + (g3^7*t^8.06)/(g1^2*g2^19*y) - (g3*t^8.09)/(g1^2*g2^13*y) + (2*g1^2*g2^6*g3^6*t^8.87)/y + (g1^2*g2^12*t^8.9)/y + (g3^12*t^8.93)/(g2^12*y) + (2*g3^6*t^8.97)/(g2^6*y) - (g2*t^4.01*y)/g3 - (g2^2*t^5.01*y)/g3^2 - (g2^3*t^6.02*y)/g3^3 - (t^6.05*y)/(g1*g2^6) - g1*g2*g3^5*t^6.92*y - (2*g1*g2^7*t^6.96*y)/g3 - (2*g2^4*t^7.02*y)/g3^4 - (g3^5*t^7.02*y)/(g1*g2^11) + (g1*g2^8*t^7.96*y)/g3^2 + (g3^7*t^7.96*y)/g2^7 + (3*g3*t^7.99*y)/g2 - (g2^5*t^8.03*y)/g3^5 + (g3^7*t^8.06*y)/(g1^2*g2^19) - (g3*t^8.09*y)/(g1^2*g2^13) + 2*g1^2*g2^6*g3^6*t^8.87*y + g1^2*g2^12*t^8.9*y + (g3^12*t^8.93*y)/g2^12 + (2*g3^6*t^8.97*y)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59064 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.3912 | 1.5609 | 0.8913 | [X:[1.4286], M:[0.9861, 0.7282], q:[0.5736, 0.5457], qb:[0.4404, 0.7261], phi:[0.2857]] | t^2.18 + t^2.57 + 2*t^2.96 + t^3.82 + 2*t^3.9 + t^4.29 + t^4.37 + 2*t^4.67 + 3*t^4.76 + 2*t^5.14 + 3*t^5.53 + t^5.61 + t^5.68 + t^5.85 + 2*t^5.92 + t^5.94 - 4*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 58980 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.2364 | 1.4238 | 0.8684 | [X:[1.3848], M:[0.6924, 1.0], q:[0.8942, 0.279], qb:[0.4134, 0.5677], phi:[0.3076]] | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.46 + t^3.92 + 3*t^4.15 + 2*t^4.39 + 2*t^4.62 + 3*t^4.85 + 2*t^5.08 + t^5.11 + 2*t^5.28 + 2*t^5.31 + 3*t^5.54 + t^5.57 + 2*t^5.77 - t^6. - t^3.92/y - t^4.85/y - (2*t^6.)/y - t^3.92*y - t^4.85*y - 2*t^6.*y | detail | |
| 58963 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.5164 | 1.7659 | 0.8587 | [X:[], M:[0.9853, 0.6802, 0.6872], q:[0.5131, 0.4836], qb:[0.5016, 0.4947], phi:[0.3345]] | t^2.01 + t^2.04 + t^2.06 + t^2.93 + 2*t^2.96 + t^3.01 + t^3.02 + t^4.01 + t^4.03 + 2*t^4.05 + t^4.07 + t^4.08 + t^4.1 + t^4.12 + 2*t^4.94 + 3*t^4.96 + t^4.98 + 3*t^5. + 3*t^5.02 + 2*t^5.03 + 2*t^5.05 + t^5.06 + t^5.07 + t^5.08 + t^5.44 + t^5.48 + t^5.5 + t^5.53 + t^5.87 + 2*t^5.89 + 2*t^5.91 + t^5.95 + t^5.96 + 2*t^5.97 + t^5.98 - 4*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
| 59663 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 1.4749 | 1.6848 | 0.8754 | [X:[], M:[0.9832, 0.6815, 1.3295], q:[0.514, 0.4804], qb:[0.5028, 0.4911], phi:[0.3353]] | t^2.04 + t^2.91 + 2*t^2.95 + 2*t^3.02 + t^3.92 + t^3.99 + t^4.02 + t^4.06 + t^4.09 + t^4.93 + 2*t^4.96 + 2*t^4.99 + t^5.03 + 3*t^5.06 + t^5.43 + t^5.46 + t^5.5 + t^5.53 + t^5.83 + 2*t^5.86 + 2*t^5.9 + 2*t^5.93 + 4*t^5.97 - 4*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 59031 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4967 | 1.7306 | 0.8648 | [X:[], M:[0.9831, 0.6782, 0.9838], q:[0.5088, 0.475], qb:[0.5081, 0.4756], phi:[0.3387]] | 2*t^2.03 + t^2.85 + 4*t^2.95 + t^3.87 + t^3.97 + t^4.06 + 3*t^4.07 + 2*t^4.88 + t^4.89 + 6*t^4.98 + 4*t^4.99 + t^5.08 + 2*t^5.39 + 2*t^5.49 + t^5.7 + 3*t^5.8 + t^5.81 + 9*t^5.9 + t^5.91 - 2*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y | detail | |
| 58573 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1289 | 1.2652 | 0.8923 | [X:[1.5107], M:[0.7768, 0.9785], q:[0.8419, 0.3956], qb:[0.3813, 0.9134], phi:[0.2446]] | t^2.2 + 2*t^2.33 + t^2.94 + t^3.8 + t^3.93 + t^4.4 + 3*t^4.53 + 3*t^4.66 + t^5.14 + 3*t^5.27 + 2*t^5.63 + 2*t^5.76 - 2*t^6. - t^3.73/y - t^4.47/y - t^5.94/y - t^3.73*y - t^4.47*y - t^5.94*y | detail | |
| 58595 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.459 | 1.6674 | 0.875 | [X:[1.3332], M:[0.9848, 0.6817], q:[0.4595, 0.4291], qb:[0.5557, 0.5552], phi:[0.3334]] | t^2.05 + 3*t^2.95 + t^3. + t^3.04 + t^3.95 + t^4. + t^4.04 + t^4.05 + t^4.09 + 2*t^4.95 + t^4.96 + 3*t^5. + 2*t^5.04 + 2*t^5.05 + t^5.09 + 5*t^5.91 + 2*t^5.95 + 2*t^5.96 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |