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 |
|---|---|---|---|---|---|---|---|---|---|
| 4430 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6583 | 0.8308 | 0.7924 | [X:[], M:[0.7595, 1.0261, 1.1884, 1.1363, 0.8116, 0.8637, 1.1363, 0.7535], q:[0.484, 0.7565], qb:[0.3798, 0.4319], phi:[0.487]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-14], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_7$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_8^2$, $ M_1M_8$, $ M_1^2$, $ M_5M_8$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_8$, $ M_1M_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_5$, $ M_4M_8$, $ M_7M_8$, $ M_1M_4$, $ M_1M_7$, $ M_3M_8$, $ M_2q_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$ | . | -2 | t^2.26 + t^2.28 + t^2.43 + t^2.75 + t^3.08 + 2*t^3.41 + t^3.57 + t^3.9 + 2*t^4.05 + t^4.21 + t^4.36 + t^4.52 + t^4.54 + t^4.56 + t^4.7 + t^4.71 + t^4.87 + t^5.01 + t^5.03 + t^5.18 + t^5.34 + t^5.36 + t^5.5 + t^5.51 + 2*t^5.67 + t^5.69 + 2*t^5.83 + t^5.84 - 2*t^6. + t^6.16 + t^6.17 + 2*t^6.31 + 2*t^6.33 + t^6.47 + 3*t^6.49 + t^6.63 + 2*t^6.64 + t^6.78 + 3*t^6.8 + 2*t^6.82 + t^6.84 + 2*t^6.96 + 2*t^6.97 + t^6.99 + t^7.11 + t^7.13 + t^7.27 + t^7.29 + t^7.3 + t^7.44 + 2*t^7.46 + t^7.6 + 2*t^7.62 + t^7.64 + t^7.76 + 2*t^7.77 + t^7.79 + 3*t^7.93 + 2*t^7.95 + t^7.97 + 2*t^8.09 + 3*t^8.1 + t^8.24 - 2*t^8.28 + 3*t^8.42 - 2*t^8.43 + t^8.45 + 4*t^8.57 + 2*t^8.61 + 2*t^8.73 + 2*t^8.77 + t^8.89 + 2*t^8.9 + 2*t^8.92 - t^4.46/y - t^6.72/y - t^6.74/y + t^7.05/y + t^7.54/y + t^7.7/y + t^7.71/y - t^7.87/y + t^8.01/y + t^8.03/y + (2*t^8.18)/y + t^8.2/y + t^8.34/y + t^8.36/y + t^8.51/y + (2*t^8.67)/y + (2*t^8.69)/y + (2*t^8.83)/y + (3*t^8.84)/y - t^8.98/y - t^4.46*y - t^6.72*y - t^6.74*y + t^7.05*y + t^7.54*y + t^7.7*y + t^7.71*y - t^7.87*y + t^8.01*y + t^8.03*y + 2*t^8.18*y + t^8.2*y + t^8.34*y + t^8.36*y + t^8.51*y + 2*t^8.67*y + 2*t^8.69*y + 2*t^8.83*y + 3*t^8.84*y - t^8.98*y | g1^40*t^2.26 + t^2.28/g1^34 + t^2.43/g1^10 + g1^38*t^2.75 + g1^12*t^3.08 + (2*t^3.41)/g1^14 + g1^10*t^3.57 + t^3.9/g1^16 + 2*g1^8*t^4.05 + g1^32*t^4.21 + g1^56*t^4.36 + g1^80*t^4.52 + g1^6*t^4.54 + t^4.56/g1^68 + g1^30*t^4.7 + t^4.71/g1^44 + t^4.87/g1^20 + g1^78*t^5.01 + g1^4*t^5.03 + g1^28*t^5.18 + g1^52*t^5.34 + t^5.36/g1^22 + g1^76*t^5.5 + g1^2*t^5.51 + 2*g1^26*t^5.67 + t^5.69/g1^48 + 2*g1^50*t^5.83 + t^5.84/g1^24 - 2*t^6. + g1^24*t^6.16 + t^6.17/g1^50 + 2*g1^48*t^6.31 + (2*t^6.33)/g1^26 + g1^72*t^6.47 + (3*t^6.49)/g1^2 + g1^96*t^6.63 + 2*g1^22*t^6.64 + g1^120*t^6.78 + 3*g1^46*t^6.8 + (2*t^6.82)/g1^28 + t^6.84/g1^102 + 2*g1^70*t^6.96 + (2*t^6.97)/g1^4 + t^6.99/g1^78 + g1^94*t^7.11 + g1^20*t^7.13 + g1^118*t^7.27 + g1^44*t^7.29 + t^7.3/g1^30 + g1^68*t^7.44 + (2*t^7.46)/g1^6 + g1^92*t^7.6 + 2*g1^18*t^7.62 + t^7.64/g1^56 + g1^116*t^7.76 + 2*g1^42*t^7.77 + t^7.79/g1^32 + 3*g1^66*t^7.93 + (2*t^7.95)/g1^8 + t^7.97/g1^82 + 2*g1^90*t^8.09 + 3*g1^16*t^8.1 + g1^114*t^8.24 - (2*t^8.28)/g1^34 + 3*g1^64*t^8.42 - (2*t^8.43)/g1^10 + t^8.45/g1^84 + 4*g1^88*t^8.57 + (2*t^8.61)/g1^60 + 2*g1^112*t^8.73 + (2*t^8.77)/g1^36 + g1^136*t^8.89 + 2*g1^62*t^8.9 + (2*t^8.92)/g1^12 - t^4.46/(g1^6*y) - (g1^34*t^6.72)/y - t^6.74/(g1^40*y) + (g1^8*t^7.05)/y + (g1^6*t^7.54)/y + (g1^30*t^7.7)/y + t^7.71/(g1^44*y) - t^7.87/(g1^20*y) + (g1^78*t^8.01)/y + (g1^4*t^8.03)/y + (2*g1^28*t^8.18)/y + t^8.2/(g1^46*y) + (g1^52*t^8.34)/y + t^8.36/(g1^22*y) + (g1^2*t^8.51)/y + (2*g1^26*t^8.67)/y + (2*t^8.69)/(g1^48*y) + (2*g1^50*t^8.83)/y + (3*t^8.84)/(g1^24*y) - (g1^74*t^8.98)/y - (t^4.46*y)/g1^6 - g1^34*t^6.72*y - (t^6.74*y)/g1^40 + g1^8*t^7.05*y + g1^6*t^7.54*y + g1^30*t^7.7*y + (t^7.71*y)/g1^44 - (t^7.87*y)/g1^20 + g1^78*t^8.01*y + g1^4*t^8.03*y + 2*g1^28*t^8.18*y + (t^8.2*y)/g1^46 + g1^52*t^8.34*y + (t^8.36*y)/g1^22 + g1^2*t^8.51*y + 2*g1^26*t^8.67*y + (2*t^8.69*y)/g1^48 + 2*g1^50*t^8.83*y + (3*t^8.84*y)/g1^24 - g1^74*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 5937 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_1X_1$ | 0.5791 | 0.7103 | 0.8152 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 1.05, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | t^2.25 + t^3. + 2*t^3.15 + t^3.3 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^5.25 + t^5.4 + t^5.55 + t^5.7 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 18531/32000, c: 22731/32000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 21/20, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
| 5947 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6789 | 0.8702 | 0.7801 | [X:[], M:[0.7622, 1.0251, 1.1876, 1.1374, 0.8124, 0.8626, 1.1374, 0.7503, 0.7001], q:[0.4815, 0.7563], qb:[0.3811, 0.4313], phi:[0.4875]] | t^2.1 + t^2.25 + t^2.29 + t^2.44 + t^2.74 + t^3.08 + 2*t^3.41 + t^3.56 + 2*t^4.05 + 2*t^4.2 + 2*t^4.35 + t^4.39 + t^4.5 + 2*t^4.54 + t^4.57 + t^4.69 + t^4.72 + t^4.84 + t^4.87 + t^4.99 + t^5.03 + 2*t^5.18 + t^5.33 + t^5.36 + t^5.48 + 3*t^5.51 + 3*t^5.66 + t^5.7 + 2*t^5.81 + t^5.85 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2397 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ | 0.6399 | 0.7972 | 0.8027 | [X:[], M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.81 + t^3.1 + 2*t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + t^4.83 + t^5.03 + t^5.23 + t^5.32 + t^5.52 + t^5.6 + t^5.63 + t^5.8 + t^5.89 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail |