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 |
|---|---|---|---|---|---|---|---|---|---|
| 56905 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ + $ M_8\phi_1^2$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.157, 1.0001, 0.843, 0.752, 0.909, 0.719, 0.843, 1.124], q:[0.376, 0.467], qb:[0.624, 0.781], phi:[0.438]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-1, 7], [0, 4]], q:[[1, -8], [-2, 15]], 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_3$, $ M_7$, $ M_5$, $ M_2$, $ M_8$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_6M_7$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_2M_4$, $ M_3M_5$, $ M_5M_7$, $ M_5^2$, $ M_6M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_7$, $ M_4M_8$, $ M_2M_5$, $ M_4\phi_1q_1^2$, $ M_3M_8$, $ M_7M_8$ | $M_2^2$ | -2 | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.21 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*t^6. + 2*t^6.1 + t^6.3 + 2*t^6.37 + t^6.47 + 2*t^6.57 + 2*t^6.65 + t^6.67 + 2*t^6.74 + t^6.77 + 3*t^6.84 + 2*t^6.94 + 3*t^7.04 + 2*t^7.12 + 2*t^7.14 + t^7.21 + 2*t^7.22 + t^7.24 + 4*t^7.31 + 2*t^7.41 + 2*t^7.51 + 5*t^7.59 + t^7.61 + 2*t^7.69 + t^7.71 + t^7.78 + 2*t^7.79 + 3*t^7.88 + 2*t^7.98 + t^8.06 + t^8.08 - t^8.16 + t^8.18 + t^8.23 - t^8.26 + 2*t^8.35 + 3*t^8.43 + t^8.45 - 4*t^8.53 + t^8.55 + 5*t^8.63 + t^8.7 - t^8.73 + 3*t^8.83 + 2*t^8.9 + t^8.92 - t^4.31/y - t^6.47/y - t^6.57/y - t^6.84/y - t^7.04/y + t^7.41/y + t^7.59/y + (2*t^7.69)/y + (3*t^7.78)/y + t^7.88/y + t^7.98/y + (2*t^8.06)/y + (2*t^8.16)/y + (3*t^8.26)/y + (3*t^8.53)/y + t^8.73/y + (2*t^8.9)/y - t^4.31*y - t^6.47*y - t^6.57*y - t^6.84*y - t^7.04*y + t^7.41*y + t^7.59*y + 2*t^7.69*y + 3*t^7.78*y + t^7.88*y + t^7.98*y + 2*t^8.06*y + 2*t^8.16*y + 3*t^8.26*y + 3*t^8.53*y + t^8.73*y + 2*t^8.9*y | (g1*t^2.16)/g2^5 + (g1^2*t^2.26)/g2^16 + (2*g2^7*t^2.53)/g1 + (g1*t^2.73)/g2^15 + (g2^8*t^3.)/g1^2 + g2^4*t^3.37 + (g1^2*t^3.57)/g2^18 + (g2^28*t^4.12)/g1^4 + g1*g2*t^4.21 + (2*g1^2*t^4.31)/g2^10 + (g1^3*t^4.41)/g2^21 + (g1^4*t^4.51)/g2^32 + (g2^13*t^4.59)/g1 + 2*g2^2*t^4.69 + (2*g1*t^4.78)/g2^9 + (g1^2*t^4.88)/g2^20 + (g1^3*t^4.98)/g2^31 + (g1^2*t^5.06)/g2^2 + (3*g2^14*t^5.06)/g1^2 + (g2^3*t^5.16)/g1 + (2*t^5.26)/g2^8 + (g1^2*t^5.45)/g2^30 + (g1*t^5.53)/g2 + (g2^15*t^5.53)/g1^3 + (g1^2*t^5.63)/g2^12 + t^5.73/(g1*g2^7) + (g1^4*t^5.83)/g2^34 + (2*g2^11*t^5.9)/g1 - 3*t^6. + (g2^16*t^6.)/g1^4 + (2*g1*t^6.1)/g2^11 + (g1^3*t^6.3)/g2^33 + (g1^2*t^6.37)/g2^4 + (g2^12*t^6.37)/g1^2 + (2*g1^3*t^6.47)/g2^15 - (g2*t^6.47)/g1 + (2*g1^4*t^6.57)/g2^26 + (2*g2^35*t^6.65)/g1^5 + (g1^5*t^6.67)/g2^37 + 2*g2^8*t^6.74 + (g1^6*t^6.77)/g2^48 + (3*g1*t^6.84)/g2^3 + (2*g1^2*t^6.94)/g2^14 + (3*g1^3*t^7.04)/g2^25 + (g2^20*t^7.12)/g1^2 + (g2^36*t^7.12)/g1^6 + (2*g1^4*t^7.14)/g2^36 + (g1^3*t^7.21)/g2^7 + (2*g2^9*t^7.22)/g1 + (g1^5*t^7.24)/g2^47 + (g1^4*t^7.31)/g2^18 + (3*t^7.31)/g2^2 + (2*g1*t^7.41)/g2^13 + (2*g1^2*t^7.51)/g2^24 + 2*g1*g2^5*t^7.59 + (3*g2^21*t^7.59)/g1^3 + (g1^3*t^7.61)/g2^35 + (g1^2*t^7.69)/g2^6 + (g2^10*t^7.69)/g1^2 + (g1^4*t^7.71)/g2^46 + (g1^3*t^7.78)/g2^17 + (2*t^7.79)/(g1*g2) + (2*g1^4*t^7.88)/g2^28 + t^7.88/g2^12 + (2*g1*t^7.98)/g2^23 + (g2^22*t^8.06)/g1^4 + (g1^6*t^8.08)/g2^50 - (2*g1*t^8.16)/g2^5 + (g2^11*t^8.16)/g1^3 + (g1^3*t^8.18)/g2^45 + (g2^56*t^8.23)/g1^8 + (2*t^8.26)/g1^2 - (3*g1^2*t^8.26)/g2^16 + (2*g1^3*t^8.35)/g2^27 + g1^2*g2^2*t^8.43 + (2*g2^18*t^8.43)/g1^2 + t^8.45/g2^22 + (g1^3*t^8.53)/g2^9 - (6*g2^7*t^8.53)/g1 + (g2^23*t^8.53)/g1^5 + (g1^5*t^8.55)/g2^49 + (3*g1^4*t^8.63)/g2^20 + (2*t^8.63)/g2^4 + (g2^41*t^8.7)/g1^5 + (2*g1^5*t^8.73)/g2^31 - (4*g1*t^8.73)/g2^15 + (g2*t^8.73)/g1^3 + (2*g1^6*t^8.83)/g2^42 + (g1^2*t^8.83)/g2^26 + g1*g2^3*t^8.9 + (g2^19*t^8.9)/g1^3 + (g1^7*t^8.92)/g2^53 - t^4.31/(g2^2*y) - (g1*t^6.47)/(g2^7*y) - (g1^2*t^6.57)/(g2^18*y) - (g2^5*t^6.84)/(g1*y) - (g1*t^7.04)/(g2^17*y) + (g1^2*t^7.31)/(g2^10*y) - (g2^6*t^7.31)/(g1^2*y) + (g1^3*t^7.41)/(g2^21*y) + (g2^13*t^7.59)/(g1*y) + (2*g2^2*t^7.69)/y + (3*g1*t^7.78)/(g2^9*y) + (g1^2*t^7.88)/(g2^20*y) + (g1^3*t^7.98)/(g2^31*y) + (2*g2^14*t^8.06)/(g1^2*y) + (2*g2^3*t^8.16)/(g1*y) + (3*t^8.26)/(g2^8*y) + (g1*t^8.53)/(g2*y) + (2*g2^15*t^8.53)/(g1^3*y) + t^8.73/(g1*g2^7*y) + (2*g2^11*t^8.9)/(g1*y) - (t^4.31*y)/g2^2 - (g1*t^6.47*y)/g2^7 - (g1^2*t^6.57*y)/g2^18 - (g2^5*t^6.84*y)/g1 - (g1*t^7.04*y)/g2^17 + (g1^2*t^7.31*y)/g2^10 - (g2^6*t^7.31*y)/g1^2 + (g1^3*t^7.41*y)/g2^21 + (g2^13*t^7.59*y)/g1 + 2*g2^2*t^7.69*y + (3*g1*t^7.78*y)/g2^9 + (g1^2*t^7.88*y)/g2^20 + (g1^3*t^7.98*y)/g2^31 + (2*g2^14*t^8.06*y)/g1^2 + (2*g2^3*t^8.16*y)/g1 + (3*t^8.26*y)/g2^8 + (g1*t^8.53*y)/g2 + (2*g2^15*t^8.53*y)/g1^3 + (t^8.73*y)/(g1*g2^7) + (2*g2^11*t^8.9*y)/g1 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55252 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.7032 | 0.8896 | 0.7905 | [X:[], M:[1.1567, 0.9794, 0.8433, 0.7444, 0.8806, 0.7258, 0.8433], q:[0.3722, 0.4711], qb:[0.6484, 0.7845], phi:[0.431]] | t^2.18 + t^2.23 + 2*t^2.53 + t^2.59 + t^2.64 + t^2.94 + t^3.53 + t^4.12 + t^4.3 + 2*t^4.35 + t^4.41 + t^4.47 + t^4.65 + 2*t^4.71 + 3*t^4.76 + 2*t^4.82 + t^4.87 + 3*t^5.06 + 3*t^5.12 + 3*t^5.17 + t^5.18 + t^5.23 + t^5.28 + t^5.47 + t^5.52 + t^5.58 + t^5.76 + t^5.88 - 3*t^6. - t^4.29/y - t^4.29*y | detail |