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 |
|---|---|---|---|---|---|---|---|---|---|
| 5000 | 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_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6838 | 0.8683 | 0.7875 | [X:[], M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0603, 1.0481, 0.7109], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [4], [-30], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_1$, $ M_5$, $ M_7$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_8$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ M_2M_4$, $ M_4M_6$, $ M_7M_8$, $ M_2M_8$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_8q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ M_8\phi_1\tilde{q}_1^2$ | $M_4\phi_1q_1^2$ | -2 | t^2.1 + t^2.13 + 2*t^2.46 + t^3.14 + 2*t^3.18 + t^3.51 + t^3.83 + t^3.9 + t^4.19 + 2*t^4.23 + 2*t^4.27 + 2*t^4.55 + 2*t^4.59 + t^4.63 + 3*t^4.92 + t^5.24 + 3*t^5.28 + 2*t^5.31 + 2*t^5.6 + 4*t^5.64 + t^5.93 + 2*t^5.96 - 2*t^6. + 4*t^6.29 + 3*t^6.33 + 5*t^6.36 + t^6.4 + 3*t^6.65 + 4*t^6.69 + 3*t^6.72 + t^6.76 + t^6.98 + 4*t^7.01 + t^7.05 + t^7.08 + 2*t^7.34 + 6*t^7.37 + 3*t^7.41 + 2*t^7.45 + t^7.66 + 2*t^7.7 + 5*t^7.73 + 3*t^7.77 + t^8.02 + 4*t^8.06 + 3*t^8.1 - 4*t^8.13 + 4*t^8.38 + 7*t^8.42 + t^8.46 + t^8.49 + 2*t^8.53 + 7*t^8.75 + 5*t^8.78 + 6*t^8.82 + 2*t^8.86 + 2*t^8.89 - t^4.41/y - t^6.51/y - t^6.54/y - t^6.87/y + (2*t^7.23)/y + t^7.27/y + t^7.55/y + t^7.59/y + t^7.92/y + t^7.95/y + t^8.24/y + (4*t^8.28)/y + (3*t^8.31)/y + (2*t^8.6)/y + (4*t^8.64)/y - t^8.67/y + t^8.93/y + (2*t^8.96)/y - t^4.41*y - t^6.51*y - t^6.54*y - t^6.87*y + 2*t^7.23*y + t^7.27*y + t^7.55*y + t^7.59*y + t^7.92*y + t^7.95*y + t^8.24*y + 4*t^8.28*y + 3*t^8.31*y + 2*t^8.6*y + 4*t^8.64*y - t^8.67*y + t^8.93*y + 2*t^8.96*y | t^2.1/g1^20 + g1^14*t^2.13 + (2*t^2.46)/g1^12 + t^3.14/g1^30 + 2*g1^4*t^3.18 + t^3.51/g1^22 + t^3.83/g1^48 + g1^20*t^3.9 + t^4.19/g1^40 + (2*t^4.23)/g1^6 + 2*g1^28*t^4.27 + (2*t^4.55)/g1^32 + 2*g1^2*t^4.59 + g1^36*t^4.63 + (3*t^4.92)/g1^24 + t^5.24/g1^50 + (3*t^5.28)/g1^16 + 2*g1^18*t^5.31 + (2*t^5.6)/g1^42 + (4*t^5.64)/g1^8 + t^5.93/g1^68 + (2*t^5.96)/g1^34 - 2*t^6. + (4*t^6.29)/g1^60 + (3*t^6.33)/g1^26 + 5*g1^8*t^6.36 + g1^42*t^6.4 + (3*t^6.65)/g1^52 + (4*t^6.69)/g1^18 + 3*g1^16*t^6.72 + g1^50*t^6.76 + t^6.98/g1^78 + (4*t^7.01)/g1^44 + t^7.05/g1^10 + g1^24*t^7.08 + (2*t^7.34)/g1^70 + (6*t^7.37)/g1^36 + (3*t^7.41)/g1^2 + 2*g1^32*t^7.45 + t^7.66/g1^96 + (2*t^7.7)/g1^62 + (5*t^7.73)/g1^28 + 3*g1^6*t^7.77 + t^8.02/g1^88 + (4*t^8.06)/g1^54 + (3*t^8.1)/g1^20 - 4*g1^14*t^8.13 + (4*t^8.38)/g1^80 + (7*t^8.42)/g1^46 + t^8.46/g1^12 + g1^22*t^8.49 + 2*g1^56*t^8.53 + (7*t^8.75)/g1^72 + (5*t^8.78)/g1^38 + (6*t^8.82)/g1^4 + 2*g1^30*t^8.86 + 2*g1^64*t^8.89 - t^4.41/(g1^2*y) - t^6.51/(g1^22*y) - (g1^12*t^6.54)/y - t^6.87/(g1^14*y) + (2*t^7.23)/(g1^6*y) + (g1^28*t^7.27)/y + t^7.55/(g1^32*y) + (g1^2*t^7.59)/y + t^7.92/(g1^24*y) + (g1^10*t^7.95)/y + t^8.24/(g1^50*y) + (4*t^8.28)/(g1^16*y) + (3*g1^18*t^8.31)/y + (2*t^8.6)/(g1^42*y) + (4*t^8.64)/(g1^8*y) - (g1^26*t^8.67)/y + t^8.93/(g1^68*y) + (2*t^8.96)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.51*y)/g1^22 - g1^12*t^6.54*y - (t^6.87*y)/g1^14 + (2*t^7.23*y)/g1^6 + g1^28*t^7.27*y + (t^7.55*y)/g1^32 + g1^2*t^7.59*y + (t^7.92*y)/g1^24 + g1^10*t^7.95*y + (t^8.24*y)/g1^50 + (4*t^8.28*y)/g1^16 + 3*g1^18*t^8.31*y + (2*t^8.6*y)/g1^42 + (4*t^8.64*y)/g1^8 - g1^26*t^8.67*y + (t^8.93*y)/g1^68 + (2*t^8.96*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6579 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1\tilde{q}_1$ + $ M_9\phi_1q_1^2$ | 0.7044 | 0.9082 | 0.7756 | [X:[], M:[0.8175, 1.0608, 1.1825, 0.6958, 0.8175, 1.0608, 1.0437, 0.7129, 0.6958], q:[0.4173, 0.7652], qb:[0.4002, 0.539], phi:[0.4696]] | 2*t^2.09 + t^2.14 + 2*t^2.45 + t^3.13 + 2*t^3.18 + t^3.5 + t^3.81 + 3*t^4.17 + 3*t^4.23 + 2*t^4.28 + 4*t^4.54 + 2*t^4.59 + t^4.64 + 3*t^4.9 + 2*t^5.22 + 5*t^5.27 + 2*t^5.32 + 3*t^5.58 + 4*t^5.63 + 2*t^5.9 + 2*t^5.95 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3131 | 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_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6635 | 0.8304 | 0.7991 | [X:[], M:[0.8173, 1.0609, 1.1827, 0.6956, 0.8173, 1.0609, 1.0434], q:[0.4174, 0.7652], qb:[0.3999, 0.5392], phi:[0.4696]] | t^2.09 + 2*t^2.45 + t^3.13 + 2*t^3.18 + t^3.5 + t^3.81 + t^3.86 + t^3.91 + t^4.17 + t^4.23 + t^4.28 + 2*t^4.54 + t^4.64 + 3*t^4.9 + t^5.22 + 2*t^5.27 + 2*t^5.58 + 3*t^5.63 + t^5.89 + 2*t^5.95 - 2*t^6. - t^4.41/y - t^4.41*y | detail |