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 |
|---|---|---|---|---|---|---|---|---|---|
| 46871 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7119 | 0.9046 | 0.787 | [X:[], M:[0.9822, 0.9822, 1.119, 0.6785, 0.6785, 0.6785], q:[0.5773, 0.4405], qb:[0.4405, 0.7798], phi:[0.4405]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [2, 10], [-2, 2]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ M_5M_6$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_6$, $ M_2M_4$, $ M_1M_6$, $ M_1M_4$, $ M_2M_5$, $ M_1M_5$, $ \phi_1^4$, $ M_3M_6$, $ M_3M_4$, $ M_3M_5$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$ | . | -4 | 3*t^2.04 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.66 + 7*t^4.07 + 2*t^4.37 + 3*t^4.68 + t^4.79 + 6*t^4.98 + t^5.29 + 3*t^5.39 + 6*t^5.7 + 3*t^5.89 - 4*t^6. + 13*t^6.11 + 2*t^6.3 + 4*t^6.41 + 3*t^6.61 + 6*t^6.71 + 3*t^6.82 - 2*t^6.91 + 14*t^7.02 + 3*t^7.32 + 7*t^7.43 - 2*t^7.63 + 14*t^7.73 + 9*t^7.93 - 12*t^8.04 + 22*t^8.14 + 2*t^8.34 + 8*t^8.45 + 5*t^8.64 + 9*t^8.75 + 4*t^8.84 + 7*t^8.86 - 14*t^8.95 - t^4.32/y - (3*t^6.36)/y + (3*t^7.07)/y - (2*t^7.27)/y + (2*t^7.37)/y + (3*t^7.68)/y + (6*t^7.98)/y + (3*t^8.29)/y - (3*t^8.39)/y + (2*t^8.59)/y + (6*t^8.7)/y + t^8.89/y - t^4.32*y - 3*t^6.36*y + 3*t^7.07*y - 2*t^7.27*y + 2*t^7.37*y + 3*t^7.68*y + 6*t^7.98*y + 3*t^8.29*y - 3*t^8.39*y + 2*t^8.59*y + 6*t^8.7*y + t^8.89*y | (g2^2*t^2.04)/g1^2 + g2^6*t^2.04 + g1^2*g2^10*t^2.04 + t^2.64/g2^4 + t^2.95/(g1*g2^11) + (g1*t^2.95)/g2^7 + g2^4*t^3.36 + t^3.66/(g1*g2^3) + g1*g2*t^3.66 + (g2^4*t^4.07)/g1^4 + (g2^8*t^4.07)/g1^2 + 3*g2^12*t^4.07 + g1^2*g2^16*t^4.07 + g1^4*g2^20*t^4.07 + (g2^5*t^4.37)/g1 + g1*g2^9*t^4.37 + t^4.68/(g1^2*g2^2) + g2^2*t^4.68 + g1^2*g2^6*t^4.68 + g2^20*t^4.79 + t^4.98/(g1^3*g2^9) + (2*t^4.98)/(g1*g2^5) + (2*g1*t^4.98)/g2 + g1^3*g2^3*t^4.98 + t^5.29/g2^8 + (g2^6*t^5.39)/g1^2 + g2^10*t^5.39 + g1^2*g2^14*t^5.39 + t^5.7/(g1^3*g2) + (2*g2^3*t^5.7)/g1 + 2*g1*g2^7*t^5.7 + g1^3*g2^11*t^5.7 + t^5.89/(g1^2*g2^22) + t^5.89/g2^18 + (g1^2*t^5.89)/g2^14 - 2*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + (g2^6*t^6.11)/g1^6 + (g2^10*t^6.11)/g1^4 + (3*g2^14*t^6.11)/g1^2 + 3*g2^18*t^6.11 + 3*g1^2*g2^22*t^6.11 + g1^4*g2^26*t^6.11 + g1^6*g2^30*t^6.11 + t^6.3/(g1*g2^7) + (g1*t^6.3)/g2^3 + (g2^7*t^6.41)/g1^3 + (g2^11*t^6.41)/g1 + g1*g2^15*t^6.41 + g1^3*g2^19*t^6.41 + t^6.61/(g1^2*g2^14) + t^6.61/g2^10 + (g1^2*t^6.61)/g2^6 + t^6.71/g1^4 + (g2^4*t^6.71)/g1^2 + 2*g2^8*t^6.71 + g1^2*g2^12*t^6.71 + g1^4*g2^16*t^6.71 + (g2^22*t^6.82)/g1^2 + g2^26*t^6.82 + g1^2*g2^30*t^6.82 - t^6.91/(g1*g2^17) - (g1*t^6.91)/g2^13 + t^7.02/(g1^5*g2^7) + (2*t^7.02)/(g1^3*g2^3) + (4*g2*t^7.02)/g1 + 4*g1*g2^5*t^7.02 + 2*g1^3*g2^9*t^7.02 + g1^5*g2^13*t^7.02 + t^7.32/(g1^2*g2^6) + t^7.32/g2^2 + g1^2*g2^2*t^7.32 + (g2^8*t^7.43)/g1^4 + (g2^12*t^7.43)/g1^2 + 3*g2^16*t^7.43 + g1^2*g2^20*t^7.43 + g1^4*g2^24*t^7.43 - t^7.63/(g1*g2^9) - (g1*t^7.63)/g2^5 + (g2*t^7.73)/g1^5 + (2*g2^5*t^7.73)/g1^3 + (4*g2^9*t^7.73)/g1 + 4*g1*g2^13*t^7.73 + 2*g1^3*g2^17*t^7.73 + g1^5*g2^21*t^7.73 + t^7.93/(g1^4*g2^20) + (2*t^7.93)/(g1^2*g2^16) + (3*t^7.93)/g2^12 + (2*g1^2*t^7.93)/g2^8 + (g1^4*t^7.93)/g2^4 - t^8.04/(g1^4*g2^2) - (3*g2^2*t^8.04)/g1^2 - 4*g2^6*t^8.04 - 3*g1^2*g2^10*t^8.04 - g1^4*g2^14*t^8.04 + (g2^8*t^8.14)/g1^8 + (g2^12*t^8.14)/g1^6 + (3*g2^16*t^8.14)/g1^4 + (3*g2^20*t^8.14)/g1^2 + 6*g2^24*t^8.14 + 3*g1^2*g2^28*t^8.14 + 3*g1^4*g2^32*t^8.14 + g1^6*g2^36*t^8.14 + g1^8*g2^40*t^8.14 + t^8.34/(g1^3*g2^5) + g1^3*g2^7*t^8.34 + (g2^9*t^8.45)/g1^5 + (g2^13*t^8.45)/g1^3 + (2*g2^17*t^8.45)/g1 + 2*g1*g2^21*t^8.45 + g1^3*g2^25*t^8.45 + g1^5*g2^29*t^8.45 + g1^2*t^8.64 + t^8.64/(g1^4*g2^12) + t^8.64/(g1^2*g2^8) + t^8.64/g2^4 + g1^4*g2^4*t^8.64 + (g2^2*t^8.75)/g1^6 + (g2^6*t^8.75)/g1^4 + (2*g2^10*t^8.75)/g1^2 + g2^14*t^8.75 + 2*g1^2*g2^18*t^8.75 + g1^4*g2^22*t^8.75 + g1^6*g2^26*t^8.75 + t^8.84/(g1^3*g2^33) + t^8.84/(g1*g2^29) + (g1*t^8.84)/g2^25 + (g1^3*t^8.84)/g2^21 + (g2^24*t^8.86)/g1^4 + (g2^28*t^8.86)/g1^2 + 3*g2^32*t^8.86 + g1^2*g2^36*t^8.86 + g1^4*g2^40*t^8.86 - (2*t^8.95)/(g1^3*g2^15) - (5*t^8.95)/(g1*g2^11) - (5*g1*t^8.95)/g2^7 - (2*g1^3*t^8.95)/g2^3 - t^4.32/(g2^2*y) - t^6.36/(g1^2*y) - (g2^4*t^6.36)/y - (g1^2*g2^8*t^6.36)/y + (g2^8*t^7.07)/(g1^2*y) + (g2^12*t^7.07)/y + (g1^2*g2^16*t^7.07)/y - t^7.27/(g1*g2^13*y) - (g1*t^7.27)/(g2^9*y) + (g2^5*t^7.37)/(g1*y) + (g1*g2^9*t^7.37)/y + t^7.68/(g1^2*g2^2*y) + (g2^2*t^7.68)/y + (g1^2*g2^6*t^7.68)/y + t^7.98/(g1^3*g2^9*y) + (2*t^7.98)/(g1*g2^5*y) + (2*g1*t^7.98)/(g2*y) + (g1^3*g2^3*t^7.98)/y + t^8.29/(g1^2*g2^12*y) + t^8.29/(g2^8*y) + (g1^2*t^8.29)/(g2^4*y) - (g2^2*t^8.39)/(g1^4*y) - (g2^10*t^8.39)/y - (g1^4*g2^18*t^8.39)/y + t^8.59/(g1*g2^15*y) + (g1*t^8.59)/(g2^11*y) + t^8.7/(g1^3*g2*y) + (2*g2^3*t^8.7)/(g1*y) + (2*g1*g2^7*t^8.7)/y + (g1^3*g2^11*t^8.7)/y + t^8.89/(g2^18*y) - (t^4.32*y)/g2^2 - (t^6.36*y)/g1^2 - g2^4*t^6.36*y - g1^2*g2^8*t^6.36*y + (g2^8*t^7.07*y)/g1^2 + g2^12*t^7.07*y + g1^2*g2^16*t^7.07*y - (t^7.27*y)/(g1*g2^13) - (g1*t^7.27*y)/g2^9 + (g2^5*t^7.37*y)/g1 + g1*g2^9*t^7.37*y + (t^7.68*y)/(g1^2*g2^2) + g2^2*t^7.68*y + g1^2*g2^6*t^7.68*y + (t^7.98*y)/(g1^3*g2^9) + (2*t^7.98*y)/(g1*g2^5) + (2*g1*t^7.98*y)/g2 + g1^3*g2^3*t^7.98*y + (t^8.29*y)/(g1^2*g2^12) + (t^8.29*y)/g2^8 + (g1^2*t^8.29*y)/g2^4 - (g2^2*t^8.39*y)/g1^4 - g2^10*t^8.39*y - g1^4*g2^18*t^8.39*y + (t^8.59*y)/(g1*g2^15) + (g1*t^8.59*y)/g2^11 + (t^8.7*y)/(g1^3*g2) + (2*g2^3*t^8.7*y)/g1 + 2*g1*g2^7*t^8.7*y + g1^3*g2^11*t^8.7*y + (t^8.89*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55286 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.7228 | 0.9222 | 0.7838 | [X:[], M:[0.9709, 0.9709, 1.124, 0.6861, 0.6861, 0.6861, 0.876], q:[0.5911, 0.438], qb:[0.438, 0.781], phi:[0.438]] | 3*t^2.06 + 2*t^2.63 + 2*t^2.91 + 2*t^3.66 + 7*t^4.12 + 2*t^4.4 + 6*t^4.69 + t^4.86 + 6*t^4.97 + 3*t^5.26 + 2*t^5.54 + 6*t^5.72 + 3*t^5.83 - 5*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46367 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |