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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-1, 7]], 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$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \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$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_7$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2M_3$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_4\phi_1q_1^2$, $ M_2^2$ | . | -3 | 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^6.06 + t^6.11 + t^6.17 - t^6.41 + t^6.48 + 2*t^6.53 + 2*t^6.59 + t^6.64 + 2*t^6.65 + t^6.7 + t^6.71 + t^6.83 + 4*t^6.88 + 3*t^6.94 + 4*t^7. + 3*t^7.05 + t^7.06 + t^7.11 + t^7.18 + 3*t^7.24 + 5*t^7.29 + 5*t^7.35 + t^7.36 + 4*t^7.4 + t^7.42 + 2*t^7.46 + t^7.52 - t^7.53 + 3*t^7.59 + 4*t^7.65 + 5*t^7.7 + t^7.71 + 4*t^7.76 + 3*t^7.81 + t^7.87 + t^7.88 + t^7.93 + t^7.99 + t^8. + 2*t^8.05 - t^8.07 + 3*t^8.11 - 2*t^8.12 + t^8.17 - 4*t^8.18 + t^8.22 - 4*t^8.23 + t^8.24 + t^8.29 + t^8.35 + t^8.4 + t^8.41 + t^8.46 - t^8.47 + t^8.52 - 7*t^8.53 - 3*t^8.59 - 3*t^8.64 + t^8.65 + t^8.7 + 3*t^8.71 + t^8.75 + 3*t^8.77 + 2*t^8.81 + 2*t^8.82 + t^8.88 + t^8.93 - 4*t^8.94 - 2*t^8.99 - t^4.29/y - t^6.47/y - t^6.53/y - t^6.82/y - t^6.88/y - t^6.93/y - t^7.23/y + t^7.35/y + t^7.41/y + t^7.65/y + (3*t^7.71)/y + (4*t^7.76)/y + (2*t^7.82)/y + t^7.87/y + (2*t^8.06)/y + (4*t^8.12)/y + (3*t^8.17)/y + t^8.23/y + (2*t^8.47)/y + t^8.52/y + t^8.58/y - t^8.65/y - t^4.29*y - t^6.47*y - t^6.53*y - t^6.82*y - t^6.88*y - t^6.93*y - t^7.23*y + t^7.35*y + t^7.41*y + t^7.65*y + 3*t^7.71*y + 4*t^7.76*y + 2*t^7.82*y + t^7.87*y + 2*t^8.06*y + 4*t^8.12*y + 3*t^8.17*y + t^8.23*y + 2*t^8.47*y + t^8.52*y + t^8.58*y - t^8.65*y | (g1*t^2.18)/g2^5 + (g1^2*t^2.23)/g2^16 + (2*g2^7*t^2.53)/g1 + t^2.59/g2^4 + (g1*t^2.64)/g2^15 + (g2^8*t^2.94)/g1^2 + (g1^2*t^3.53)/g2^18 + (g2^28*t^4.12)/g1^4 + g1*g2*t^4.3 + (2*g1^2*t^4.35)/g2^10 + (g1^3*t^4.41)/g2^21 + (g1^4*t^4.47)/g2^32 + (g2^13*t^4.65)/g1 + 2*g2^2*t^4.71 + (3*g1*t^4.76)/g2^9 + (2*g1^2*t^4.82)/g2^20 + (g1^3*t^4.87)/g2^31 + (3*g2^14*t^5.06)/g1^2 + (3*g2^3*t^5.12)/g1 + (3*t^5.17)/g2^8 + (g1^2*t^5.18)/g2^2 + (g1*t^5.23)/g2^19 + (g1^2*t^5.28)/g2^30 + (g2^15*t^5.47)/g1^3 + (g2^4*t^5.52)/g1^2 + t^5.58/(g1*g2^7) + (g1^4*t^5.76)/g2^34 + (g2^16*t^5.88)/g1^4 - 3*t^6. + (g1*t^6.06)/g2^11 + (g1^2*t^6.11)/g2^22 + (g1^3*t^6.17)/g2^33 - (g2*t^6.41)/g1 + (g1^2*t^6.48)/g2^4 + (2*g1^3*t^6.53)/g2^15 + (2*g1^4*t^6.59)/g2^26 + (g1^5*t^6.64)/g2^37 + (2*g2^35*t^6.65)/g1^5 + (g1^6*t^6.7)/g2^48 + (g2^24*t^6.71)/g1^4 + g2^8*t^6.83 + (4*g1*t^6.88)/g2^3 + (3*g1^2*t^6.94)/g2^14 + (4*g1^3*t^7.)/g2^25 + (3*g1^4*t^7.05)/g2^36 + (g2^36*t^7.06)/g1^6 + (g1^5*t^7.11)/g2^47 + (g2^20*t^7.18)/g1^2 + (3*g2^9*t^7.24)/g1 + (5*t^7.29)/g2^2 + (5*g1*t^7.35)/g2^13 + (g1^3*t^7.36)/g2^7 + (4*g1^2*t^7.4)/g2^24 + (g1^4*t^7.42)/g2^18 + (2*g1^3*t^7.46)/g2^35 + (g1^4*t^7.52)/g2^46 - (g2^32*t^7.53)/g1^4 + (3*g2^21*t^7.59)/g1^3 + (4*g2^10*t^7.65)/g1^2 + (5*t^7.7)/(g1*g2) + g1*g2^5*t^7.71 + (4*t^7.76)/g2^12 + (3*g1*t^7.81)/g2^23 + (g1^2*t^7.87)/g2^34 + (g1^4*t^7.88)/g2^28 + (g1^3*t^7.93)/g2^45 + (g1^6*t^7.99)/g2^50 + (g2^22*t^8.)/g1^4 + (2*g2^11*t^8.05)/g1^3 - (g2^17*t^8.07)/g1 + (3*t^8.11)/g1^2 - 2*g2^6*t^8.12 + t^8.17/(g1*g2^11) - (4*g1*t^8.18)/g2^5 + t^8.22/g2^22 - (4*g1^2*t^8.23)/g2^16 + (g2^56*t^8.24)/g1^8 + (g1^3*t^8.29)/g2^27 + (g1^4*t^8.35)/g2^38 + (g1^5*t^8.4)/g2^49 + (g2^23*t^8.41)/g1^5 + (g2^12*t^8.46)/g1^4 - (g2^18*t^8.47)/g1^2 + (g2*t^8.52)/g1^3 - (7*g2^7*t^8.53)/g1 - (3*t^8.59)/g2^4 - (3*g1*t^8.64)/g2^15 + (g1^3*t^8.65)/g2^9 + (g1^2*t^8.7)/g2^26 + (3*g1^4*t^8.71)/g2^20 + (g1^3*t^8.75)/g2^37 + (2*g1^5*t^8.77)/g2^31 + (g2^41*t^8.77)/g1^5 + (g1^4*t^8.81)/g2^48 + (g2^24*t^8.81)/g1^6 + (2*g1^6*t^8.82)/g2^42 + (g1^7*t^8.88)/g2^53 + (g1^8*t^8.93)/g2^64 - (4*g2^8*t^8.94)/g1^2 - (2*t^8.99)/(g1*g2^3) - t^4.29/(g2^2*y) - (g1*t^6.47)/(g2^7*y) - (g1^2*t^6.53)/(g2^18*y) - (g2^5*t^6.82)/(g1*y) - t^6.88/(g2^6*y) - (g1*t^6.93)/(g2^17*y) - (g2^6*t^7.23)/(g1^2*y) + (g1^2*t^7.35)/(g2^10*y) + (g1^3*t^7.41)/(g2^21*y) + (g2^13*t^7.65)/(g1*y) + (3*g2^2*t^7.71)/y + (4*g1*t^7.76)/(g2^9*y) + (2*g1^2*t^7.82)/(g2^20*y) + (g1^3*t^7.87)/(g2^31*y) + (2*g2^14*t^8.06)/(g1^2*y) + (4*g2^3*t^8.12)/(g1*y) + (3*t^8.17)/(g2^8*y) + (g1*t^8.23)/(g2^19*y) + (2*g2^15*t^8.47)/(g1^3*y) + (g2^4*t^8.52)/(g1^2*y) + t^8.58/(g1*g2^7*y) - (g1^2*t^8.65)/(g2^12*y) - (t^4.29*y)/g2^2 - (g1*t^6.47*y)/g2^7 - (g1^2*t^6.53*y)/g2^18 - (g2^5*t^6.82*y)/g1 - (t^6.88*y)/g2^6 - (g1*t^6.93*y)/g2^17 - (g2^6*t^7.23*y)/g1^2 + (g1^2*t^7.35*y)/g2^10 + (g1^3*t^7.41*y)/g2^21 + (g2^13*t^7.65*y)/g1 + 3*g2^2*t^7.71*y + (4*g1*t^7.76*y)/g2^9 + (2*g1^2*t^7.82*y)/g2^20 + (g1^3*t^7.87*y)/g2^31 + (2*g2^14*t^8.06*y)/g1^2 + (4*g2^3*t^8.12*y)/g1 + (3*t^8.17*y)/g2^8 + (g1*t^8.23*y)/g2^19 + (2*g2^15*t^8.47*y)/g1^3 + (g2^4*t^8.52*y)/g1^2 + (t^8.58*y)/(g1*g2^7) - (g1^2*t^8.65*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56905 | $M_1q_1q_2$ + $ 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]] | 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. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | 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$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*t^6. - t^4.29/y - t^4.29*y | detail |