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 |
|---|---|---|---|---|---|---|---|---|---|
| 1948 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6544 | 0.8218 | 0.7964 | [X:[], M:[1.1943, 0.7395, 0.8057, 1.128, 0.872], q:[0.436, 0.3698], qb:[0.7583, 0.5022], phi:[0.4834]] | [X:[], M:[[10], [-34], [-10], [-14], [14]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2\phi_1q_2^2$ | . | -1 | t^2.22 + t^2.42 + t^2.62 + t^2.81 + t^2.9 + 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 + 2*t^4.83 + 2*t^5.03 + t^5.12 + 2*t^5.23 + t^5.32 + t^5.43 + t^5.52 + t^5.63 + t^5.72 + t^5.8 + t^5.89 - t^6. + 2*t^6.09 - t^6.2 + 4*t^6.28 + 4*t^6.48 + t^6.57 + t^6.66 + 3*t^6.68 + t^6.85 + 3*t^6.88 + t^6.97 + 2*t^7.05 + 2*t^7.08 - t^7.17 + 2*t^7.25 + t^7.28 + 2*t^7.34 + 2*t^7.45 + 2*t^7.54 - t^7.56 + 2*t^7.65 + 4*t^7.74 + 2*t^7.85 + 3*t^7.93 + 2*t^8.05 + t^8.11 + 4*t^8.13 - 2*t^8.22 + t^8.24 + 2*t^8.3 + 2*t^8.33 - 4*t^8.42 + t^8.44 + 4*t^8.5 + 3*t^8.53 - 4*t^8.62 + 5*t^8.7 + t^8.73 + t^8.79 - 4*t^8.81 + t^8.87 + 4*t^8.9 + t^8.93 + t^8.99 - t^4.45/y - t^6.67/y - t^7.35/y + t^7.55/y + t^7.64/y + t^7.83/y + (2*t^8.03)/y + t^8.12/y + (2*t^8.23)/y + t^8.32/y + t^8.43/y + t^8.52/y + t^8.6/y + t^8.72/y + (2*t^8.8)/y - t^4.45*y - t^6.67*y - t^7.35*y + t^7.55*y + t^7.64*y + t^7.83*y + 2*t^8.03*y + t^8.12*y + 2*t^8.23*y + t^8.32*y + t^8.43*y + t^8.52*y + t^8.6*y + t^8.72*y + 2*t^8.8*y | t^2.22/g1^34 + t^2.42/g1^10 + g1^14*t^2.62 + g1^38*t^2.81 + t^2.9/g1^12 + t^3.38/g1^14 + g1^10*t^3.58 + t^3.67/g1^40 + t^3.87/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.26 + t^4.44/g1^68 + g1^56*t^4.46 + t^4.64/g1^44 + (2*t^4.83)/g1^20 + 2*g1^4*t^5.03 + t^5.12/g1^46 + 2*g1^28*t^5.23 + t^5.32/g1^22 + g1^52*t^5.43 + g1^2*t^5.52 + g1^76*t^5.63 + g1^26*t^5.72 + t^5.8/g1^24 + t^5.89/g1^74 - t^6. + (2*t^6.09)/g1^50 - g1^24*t^6.2 + (4*t^6.28)/g1^26 + (4*t^6.48)/g1^2 + t^6.57/g1^52 + t^6.66/g1^102 + 3*g1^22*t^6.68 + t^6.85/g1^78 + 3*g1^46*t^6.88 + t^6.97/g1^4 + (2*t^7.05)/g1^54 + 2*g1^70*t^7.08 - g1^20*t^7.17 + (2*t^7.25)/g1^30 + g1^94*t^7.28 + (2*t^7.34)/g1^80 + (2*t^7.45)/g1^6 + (2*t^7.54)/g1^56 - g1^68*t^7.56 + 2*g1^18*t^7.65 + (4*t^7.74)/g1^32 + 2*g1^42*t^7.85 + (3*t^7.93)/g1^8 + 2*g1^66*t^8.05 + t^8.11/g1^108 + 4*g1^16*t^8.13 - (2*t^8.22)/g1^34 + g1^90*t^8.24 + (2*t^8.3)/g1^84 + 2*g1^40*t^8.33 - (4*t^8.42)/g1^10 + g1^114*t^8.44 + (4*t^8.5)/g1^60 + 3*g1^64*t^8.53 - 4*g1^14*t^8.62 + (5*t^8.7)/g1^36 + g1^88*t^8.73 + t^8.79/g1^86 - 4*g1^38*t^8.81 + t^8.87/g1^136 + (4*t^8.9)/g1^12 + g1^112*t^8.93 + t^8.99/g1^62 - t^4.45/(g1^6*y) - t^6.67/(g1^40*y) - t^7.35/(g1^18*y) + (g1^6*t^7.55)/y + t^7.64/(g1^44*y) + t^7.83/(g1^20*y) + (2*g1^4*t^8.03)/y + t^8.12/(g1^46*y) + (2*g1^28*t^8.23)/y + t^8.32/(g1^22*y) + (g1^52*t^8.43)/y + (g1^2*t^8.52)/y + t^8.6/(g1^48*y) + (g1^26*t^8.72)/y + (2*t^8.8)/(g1^24*y) - (t^4.45*y)/g1^6 - (t^6.67*y)/g1^40 - (t^7.35*y)/g1^18 + g1^6*t^7.55*y + (t^7.64*y)/g1^44 + (t^7.83*y)/g1^20 + 2*g1^4*t^8.03*y + (t^8.12*y)/g1^46 + 2*g1^28*t^8.23*y + (t^8.32*y)/g1^22 + g1^52*t^8.43*y + g1^2*t^8.52*y + (t^8.6*y)/g1^48 + g1^26*t^8.72*y + (2*t^8.8*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2991 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.6541 | 0.8213 | 0.7964 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 530091/810448, c: 332811/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 2992 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6748 | 0.8603 | 0.7844 | [X:[], M:[1.193, 0.7437, 0.807, 1.1297, 0.8703, 0.7089], q:[0.4351, 0.3718], qb:[0.7579, 0.4984], phi:[0.4842]] | t^2.13 + t^2.23 + t^2.42 + t^2.61 + t^2.8 + t^2.91 + t^3.39 + t^3.58 + t^3.68 + 2*t^4.06 + 2*t^4.25 + t^4.36 + t^4.44 + t^4.46 + t^4.55 + t^4.65 + t^4.74 + 2*t^4.84 + t^4.93 + 3*t^5.03 + t^5.14 + 2*t^5.22 + t^5.33 + t^5.41 + 2*t^5.52 + t^5.6 + 2*t^5.71 + 2*t^5.81 + t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 2990 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ | 0.6728 | 0.8554 | 0.7865 | [X:[], M:[1.1885, 0.7593, 0.8115, 1.1362, 0.8638, 0.7538], q:[0.4319, 0.3796], qb:[0.7565, 0.4842], phi:[0.4869]] | t^2.26 + t^2.28 + t^2.43 + t^2.59 + t^2.75 + t^2.92 + t^3.41 + t^3.57 + t^3.9 + 2*t^4.05 + t^4.21 + t^4.37 + t^4.52 + t^4.54 + t^4.56 + t^4.7 + t^4.71 + t^4.85 + 2*t^4.87 + t^5.01 + 2*t^5.03 + 3*t^5.18 + t^5.2 + t^5.34 + t^5.36 + t^5.5 + t^5.51 + 2*t^5.67 + t^5.83 + t^5.84 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 611 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ | 0.7024 | 0.8607 | 0.8161 | [X:[], M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] | t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |