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 |
|---|---|---|---|---|---|---|---|---|---|
| 5228 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ + $ M_8q_2\tilde{q}_1$ | 0.6838 | 0.867 | 0.7887 | [X:[], M:[0.8278, 1.0574, 1.1722, 0.713, 1.0574, 1.0695, 0.713, 0.8157], q:[0.4078, 0.7643], qb:[0.42, 0.5226], phi:[0.4713]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-30], [-20], [22]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_1$, $ M_2$, $ M_5$, $ M_6$, $ M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_8$, $ M_7M_8$, $ M_1M_4$, $ M_1M_7$, $ M_8^2$, $ M_1M_8$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_4M_5$, $ M_2M_7$, $ M_5M_7$, $ M_4M_6$, $ M_6M_7$, $ M_2M_8$, $ M_5M_8$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_3M_7$, $ M_6M_8$ | . | -2 | 2*t^2.14 + t^2.45 + t^2.48 + 2*t^3.17 + t^3.21 + t^3.52 + t^3.9 + t^3.93 + t^4.21 + t^4.24 + 3*t^4.28 + t^4.55 + 2*t^4.59 + 2*t^4.62 + t^4.89 + t^4.93 + t^4.97 + 4*t^5.31 + 2*t^5.35 + 2*t^5.62 + 4*t^5.66 - 2*t^6. + t^6.04 + 2*t^6.07 - t^6.31 + 3*t^6.34 + 5*t^6.38 + 6*t^6.42 + t^6.65 + 4*t^6.69 + 3*t^6.73 + 3*t^6.76 + t^7. + t^7.03 + t^7.07 + 3*t^7.11 + t^7.14 + t^7.34 + t^7.38 + t^7.41 + 7*t^7.45 + 3*t^7.49 + 3*t^7.76 + 6*t^7.79 + t^7.83 + t^7.87 + 2*t^8.07 - 3*t^8.14 + 2*t^8.18 + 3*t^8.21 - 5*t^8.45 + 3*t^8.48 + 8*t^8.52 + 9*t^8.56 + 3*t^8.79 + 8*t^8.83 + 6*t^8.86 + 5*t^8.9 - t^4.41/y - (2*t^6.55)/y - t^6.86/y + t^7.21/y + t^7.24/y + t^7.28/y + t^7.59/y + t^7.62/y + t^7.93/y + t^7.97/y + (2*t^8.27)/y + (4*t^8.31)/y + (2*t^8.35)/y + (2*t^8.62)/y + (5*t^8.66)/y - (2*t^8.69)/y + t^8.96/y - t^4.41*y - 2*t^6.55*y - t^6.86*y + t^7.21*y + t^7.24*y + t^7.28*y + t^7.59*y + t^7.62*y + t^7.93*y + t^7.97*y + 2*t^8.27*y + 4*t^8.31*y + 2*t^8.35*y + 2*t^8.62*y + 5*t^8.66*y - 2*t^8.69*y + t^8.96*y | (2*t^2.14)/g1^20 + g1^22*t^2.45 + t^2.48/g1^12 + 2*g1^4*t^3.17 + t^3.21/g1^30 + g1^12*t^3.52 + t^3.9/g1^14 + t^3.93/g1^48 + g1^28*t^4.21 + t^4.24/g1^6 + (3*t^4.28)/g1^40 + g1^36*t^4.55 + 2*g1^2*t^4.59 + (2*t^4.62)/g1^32 + g1^44*t^4.89 + g1^10*t^4.93 + t^4.97/g1^24 + (4*t^5.31)/g1^16 + (2*t^5.35)/g1^50 + 2*g1^26*t^5.62 + (4*t^5.66)/g1^8 - 2*t^6. + t^6.04/g1^34 + (2*t^6.07)/g1^68 - g1^42*t^6.31 + 3*g1^8*t^6.34 + (5*t^6.38)/g1^26 + (6*t^6.42)/g1^60 + g1^50*t^6.65 + 4*g1^16*t^6.69 + (3*t^6.73)/g1^18 + (3*t^6.76)/g1^52 + g1^58*t^7. + g1^24*t^7.03 + t^7.07/g1^10 + (3*t^7.11)/g1^44 + t^7.14/g1^78 + g1^66*t^7.34 + g1^32*t^7.38 + t^7.41/g1^2 + (7*t^7.45)/g1^36 + (3*t^7.49)/g1^70 + 3*g1^6*t^7.76 + (6*t^7.79)/g1^28 + t^7.83/g1^62 + t^7.87/g1^96 + 2*g1^48*t^8.07 - (3*t^8.14)/g1^20 + (2*t^8.18)/g1^54 + (3*t^8.21)/g1^88 - 5*g1^22*t^8.45 + (3*t^8.48)/g1^12 + (8*t^8.52)/g1^46 + (9*t^8.56)/g1^80 + 3*g1^30*t^8.79 + (8*t^8.83)/g1^4 + (6*t^8.86)/g1^38 + (5*t^8.9)/g1^72 - t^4.41/(g1^2*y) - (2*t^6.55)/(g1^22*y) - (g1^20*t^6.86)/y + (g1^28*t^7.21)/y + t^7.24/(g1^6*y) + t^7.28/(g1^40*y) + (g1^2*t^7.59)/y + t^7.62/(g1^32*y) + (g1^10*t^7.93)/y + t^7.97/(g1^24*y) + (2*g1^18*t^8.27)/y + (4*t^8.31)/(g1^16*y) + (2*t^8.35)/(g1^50*y) + (2*g1^26*t^8.62)/y + (5*t^8.66)/(g1^8*y) - (2*t^8.69)/(g1^42*y) + (g1^34*t^8.96)/y - (t^4.41*y)/g1^2 - (2*t^6.55*y)/g1^22 - g1^20*t^6.86*y + g1^28*t^7.21*y + (t^7.24*y)/g1^6 + (t^7.28*y)/g1^40 + g1^2*t^7.59*y + (t^7.62*y)/g1^32 + g1^10*t^7.93*y + (t^7.97*y)/g1^24 + 2*g1^18*t^8.27*y + (4*t^8.31*y)/g1^16 + (2*t^8.35*y)/g1^50 + 2*g1^26*t^8.62*y + (5*t^8.66*y)/g1^8 - (2*t^8.69*y)/g1^42 + g1^34*t^8.96*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 6785 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ + $ M_8q_2\tilde{q}_1$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.7043 | 0.9061 | 0.7773 | [X:[], M:[0.8291, 1.057, 1.1709, 0.7152, 1.057, 1.0727, 0.7152, 0.8133, 0.6994], q:[0.4067, 0.7642], qb:[0.4224, 0.5206], phi:[0.4715]] | t^2.1 + 2*t^2.15 + t^2.44 + t^2.49 + 2*t^3.17 + t^3.22 + t^3.51 + t^3.95 + 2*t^4.2 + 3*t^4.24 + 3*t^4.29 + 2*t^4.54 + 3*t^4.59 + 2*t^4.63 + t^4.88 + t^4.93 + t^4.97 + 2*t^5.27 + 5*t^5.32 + 2*t^5.36 + 3*t^5.61 + 4*t^5.66 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3554 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ | 0.6688 | 0.8425 | 0.7938 | [X:[], M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]] | 2*t^2.1 + t^2.46 + t^3.15 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.84 + t^3.87 + 3*t^4.2 + t^4.23 + t^4.26 + 2*t^4.56 + t^4.62 + t^4.92 + 2*t^5.25 + 4*t^5.28 + 2*t^5.61 + 3*t^5.64 + 2*t^5.94 + 2*t^5.97 - 2*t^6. - t^4.41/y - t^4.41*y | detail |