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 |
|---|---|---|---|---|---|---|---|---|---|
| 772 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ | 0.5822 | 0.7285 | 0.7991 | [X:[], M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]] | [X:[], M:[[-20], [-20], [4], [-4], [20]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_1q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_4q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.05 + t^2.35 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + t^3.95 + t^4.11 + t^4.32 + t^4.41 + t^4.49 + t^4.7 + 2*t^4.78 + 2*t^4.86 + t^5.16 + 2*t^5.24 + 2*t^5.54 + 2*t^5.62 + t^5.92 + t^6. + t^6.16 + t^6.3 + 3*t^6.38 + t^6.54 + t^6.68 + 2*t^6.76 + 2*t^6.92 + t^7.06 + 3*t^7.14 + t^7.22 + 3*t^7.3 + 2*t^7.51 + 2*t^7.68 + 3*t^7.89 + t^7.97 + t^8.05 + t^8.21 + 2*t^8.27 + t^8.43 + t^8.59 + 2*t^8.65 + 2*t^8.73 - t^8.81 + 2*t^8.97 - t^4.22/y - t^6.27/y - t^6.65/y + t^7.41/y + t^7.49/y + (2*t^7.78)/y + t^7.86/y + (2*t^8.16)/y + (3*t^8.24)/y - t^8.32/y + (2*t^8.54)/y + (3*t^8.62)/y - t^8.7/y + t^8.92/y - t^4.22*y - t^6.27*y - t^6.65*y + t^7.41*y + t^7.49*y + 2*t^7.78*y + t^7.86*y + 2*t^8.16*y + 3*t^8.24*y - t^8.32*y + 2*t^8.54*y + 3*t^8.62*y - t^8.7*y + t^8.92*y | t^2.05/g1^20 + g1^18*t^2.35 + t^2.43/g1^12 + t^2.81/g1^4 + 2*g1^4*t^3.19 + g1^12*t^3.57 + g1^20*t^3.95 + t^4.11/g1^40 + g1^28*t^4.32 + t^4.41/g1^2 + t^4.49/g1^32 + g1^36*t^4.7 + 2*g1^6*t^4.78 + (2*t^4.86)/g1^24 + g1^14*t^5.16 + (2*t^5.24)/g1^16 + 2*g1^22*t^5.54 + (2*t^5.62)/g1^8 + g1^30*t^5.92 + t^6. + t^6.16/g1^60 + g1^38*t^6.3 + 3*g1^8*t^6.38 + t^6.54/g1^52 + g1^46*t^6.68 + 2*g1^16*t^6.76 + (2*t^6.92)/g1^44 + g1^54*t^7.06 + 3*g1^24*t^7.14 + t^7.22/g1^6 + (3*t^7.3)/g1^36 + 2*g1^32*t^7.51 + (2*t^7.68)/g1^28 + 3*g1^40*t^7.89 + g1^10*t^7.97 + t^8.05/g1^20 + t^8.21/g1^80 + 2*g1^48*t^8.27 + t^8.43/g1^12 + t^8.59/g1^72 + 2*g1^56*t^8.65 + 2*g1^26*t^8.73 - t^8.81/g1^4 + (2*t^8.97)/g1^64 - t^4.22/(g1^6*y) - t^6.27/(g1^26*y) - t^6.65/(g1^18*y) + t^7.41/(g1^2*y) + t^7.49/(g1^32*y) + (2*g1^6*t^7.78)/y + t^7.86/(g1^24*y) + (2*g1^14*t^8.16)/y + (3*t^8.24)/(g1^16*y) - t^8.32/(g1^46*y) + (2*g1^22*t^8.54)/y + (3*t^8.62)/(g1^8*y) - t^8.7/(g1^38*y) + (g1^30*t^8.92)/y - (t^4.22*y)/g1^6 - (t^6.27*y)/g1^26 - (t^6.65*y)/g1^18 + (t^7.41*y)/g1^2 + (t^7.49*y)/g1^32 + 2*g1^6*t^7.78*y + (t^7.86*y)/g1^24 + 2*g1^14*t^8.16*y + (3*t^8.24*y)/g1^16 - (t^8.32*y)/g1^46 + 2*g1^22*t^8.54*y + (3*t^8.62*y)/g1^8 - (t^8.7*y)/g1^38 + g1^30*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1257 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_3M_6$ | 0.5881 | 0.7382 | 0.7966 | [X:[], M:[0.6756, 0.6756, 1.0649, 0.9351, 1.3244, 0.9351], q:[0.9933, 0.604], qb:[0.3311, 0.4609], phi:[0.4027]] | t^2.03 + t^2.38 + t^2.42 + 2*t^2.81 + t^3.19 + t^3.58 + t^3.97 + t^4.05 + t^4.36 + t^4.4 + t^4.44 + t^4.75 + 2*t^4.79 + 3*t^4.83 + 2*t^5.18 + 2*t^5.22 + t^5.57 + 3*t^5.61 + t^5.96 + t^6. - t^4.21/y - t^4.21*y | detail | |
| 1256 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ | 0.5764 | 0.7192 | 0.8014 | [X:[], M:[0.6935, 0.6935, 1.0613, 0.9387, 1.3065, 1.0613], q:[0.9798, 0.6121], qb:[0.3266, 0.4492], phi:[0.4081]] | t^2.08 + t^2.33 + t^2.45 + 3*t^3.18 + t^3.55 + t^3.92 + t^4.16 + t^4.29 + t^4.41 + t^4.53 + t^4.65 + 2*t^4.78 + t^4.9 + 2*t^5.26 + 3*t^5.51 + 2*t^5.63 + t^5.88 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1258 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ \phi_1^2X_2$ | 0.4422 | 0.5047 | 0.8762 | [X:[1.7143, 1.4286], M:[0.2857, 0.2857, 1.1429, 0.8571, 1.7143], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]] | t^2.57 + 3*t^3.43 + t^4.29 + t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2427/5488, c: 1385/2744, X1: 12/7, X2: 10/7, M1: 2/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 12/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
| 1259 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_5M_6$ | 0.6029 | 0.7691 | 0.7839 | [X:[], M:[0.6807, 0.6807, 1.0639, 0.9361, 1.3193, 0.6807], q:[0.9895, 0.6063], qb:[0.3298, 0.4575], phi:[0.4042]] | 2*t^2.04 + t^2.36 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + 3*t^4.08 + t^4.34 + 2*t^4.4 + 2*t^4.47 + t^4.72 + 2*t^4.79 + 3*t^4.85 + t^5.17 + 4*t^5.23 + 2*t^5.55 + 3*t^5.62 + t^5.94 - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 484 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.7048, 0.7048, 0.6889, 0.6942, 1.2952], q:[0.8172, 0.8331], qb:[0.4781, 0.4728], phi:[0.3497]] | t^2.07 + t^2.08 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.89 + t^3.9 + t^3.92 + t^4.13 + t^4.15 + 2*t^4.16 + 2*t^4.18 + 2*t^4.2 + t^4.21 + t^4.23 + t^4.92 + t^4.93 + 2*t^4.95 + t^4.97 + t^5.7 + t^5.94 + 2*t^5.95 + 2*t^5.97 + 2*t^5.98 - t^4.05/y - t^4.05*y | detail |