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 |
|---|---|---|---|---|---|---|---|---|---|
| 2021 | 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$ + $ \phi_1q_1\tilde{q}_2$ | 0.5708 | 0.7142 | 0.7992 | [X:[], M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_6$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ M_5^2$, $ M_1M_6$ | . | -1 | t^2.07 + t^2.16 + t^2.96 + t^3.04 + t^3.35 + 2*t^3.44 + t^3.53 + t^3.84 + t^4.14 + t^4.23 + t^4.32 + t^4.72 + t^5.03 + 2*t^5.12 + t^5.21 + t^5.42 + 2*t^5.51 + 2*t^5.6 + t^5.69 + t^5.91 - t^6. + t^6.22 + 2*t^6.31 + 2*t^6.4 + 2*t^6.49 + t^6.58 + t^6.7 + 2*t^6.79 + 2*t^6.88 + t^6.97 + t^7.06 + t^7.1 + 2*t^7.19 + t^7.28 + t^7.5 + 2*t^7.59 + 2*t^7.68 + t^7.77 + t^7.86 + t^7.98 - t^8.07 - t^8.16 + t^8.29 + 2*t^8.38 + 2*t^8.47 + 2*t^8.56 + t^8.65 + t^8.74 + t^8.78 + 2*t^8.87 - t^8.96 - t^4.28/y - t^6.35/y + t^7.23/y + t^8.03/y + (2*t^8.12)/y + (2*t^8.21)/y + (3*t^8.51)/y + (3*t^8.6)/y + t^8.69/y + t^8.91/y - t^4.28*y - t^6.35*y + t^7.23*y + t^8.03*y + 2*t^8.12*y + 2*t^8.21*y + 3*t^8.51*y + 3*t^8.6*y + t^8.69*y + t^8.91*y | g1^22*t^2.07 + t^2.16/g1^6 + g1^14*t^2.96 + t^3.04/g1^14 + g1^24*t^3.35 + (2*t^3.44)/g1^4 + t^3.53/g1^32 + g1^6*t^3.84 + g1^44*t^4.14 + g1^16*t^4.23 + t^4.32/g1^12 + t^4.72/g1^2 + g1^36*t^5.03 + 2*g1^8*t^5.12 + t^5.21/g1^20 + g1^46*t^5.42 + 2*g1^18*t^5.51 + (2*t^5.6)/g1^10 + t^5.69/g1^38 + g1^28*t^5.91 - t^6. + g1^66*t^6.22 + 2*g1^38*t^6.31 + 2*g1^10*t^6.4 + (2*t^6.49)/g1^18 + t^6.58/g1^46 + g1^48*t^6.7 + 2*g1^20*t^6.79 + (2*t^6.88)/g1^8 + t^6.97/g1^36 + t^7.06/g1^64 + g1^58*t^7.1 + 2*g1^30*t^7.19 + g1^2*t^7.28 + g1^68*t^7.5 + 2*g1^40*t^7.59 + 2*g1^12*t^7.68 + t^7.77/g1^16 + t^7.86/g1^44 + g1^50*t^7.98 - g1^22*t^8.07 - t^8.16/g1^6 + g1^88*t^8.29 + 2*g1^60*t^8.38 + 2*g1^32*t^8.47 + 2*g1^4*t^8.56 + t^8.65/g1^24 + t^8.74/g1^52 + g1^70*t^8.78 + 2*g1^42*t^8.87 - g1^14*t^8.96 - (g1^2*t^4.28)/y - (g1^24*t^6.35)/y + (g1^16*t^7.23)/y + (g1^36*t^8.03)/y + (2*g1^8*t^8.12)/y + (2*t^8.21)/(g1^20*y) + (3*g1^18*t^8.51)/y + (3*t^8.6)/(g1^10*y) + t^8.69/(g1^38*y) + (g1^28*t^8.91)/y - g1^2*t^4.28*y - g1^24*t^6.35*y + g1^16*t^7.23*y + g1^36*t^8.03*y + 2*g1^8*t^8.12*y + (2*t^8.21*y)/g1^20 + 3*g1^18*t^8.51*y + (3*t^8.6*y)/g1^10 + (t^8.69*y)/g1^38 + g1^28*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3077 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5608 | 0.7021 | 0.7987 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + 3*t^5.22 + 3*t^5.48 + 2*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 13647/24334, c: 34171/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 3078 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1q_2^2$ + $ M_1X_1$ | 0.5462 | 0.6679 | 0.8178 | [X:[1.3684], M:[0.6316, 1.1579, 1.0526, 0.7368, 0.9474, 1.2632], q:[0.9474, 0.4211], qb:[0.3158, 0.6316], phi:[0.4211]] | t^2.21 + t^2.84 + 2*t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.37 + t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 59937/109744, c: 36647/54872, X1: 26/19, M1: 12/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 18/19, M6: 24/19, q1: 18/19, q2: 8/19, qb1: 6/19, qb2: 12/19, phi1: 8/19} |
| 3079 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ | 0.5666 | 0.7034 | 0.8055 | [X:[1.3424], M:[0.6576, 1.1532, 1.0361, 0.7297, 0.9639, 1.2703, 0.7747], q:[0.9415, 0.401], qb:[0.3288, 0.6351], phi:[0.4234]] | t^2.19 + t^2.32 + t^2.89 + t^3.11 + t^3.24 + 2*t^3.46 + t^3.81 + t^4.03 + t^4.38 + t^4.51 + t^4.65 + t^4.73 + t^5.08 + t^5.22 + t^5.3 + t^5.43 + t^5.57 + t^5.65 + 2*t^5.78 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 3080 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5829 | 0.7351 | 0.7929 | [X:[], M:[0.7246, 1.141, 0.9934, 0.7115, 1.0066, 1.2885, 0.8459], q:[0.9262, 0.3492], qb:[0.3623, 0.6443], phi:[0.4295]] | t^2.13 + t^2.17 + t^2.54 + t^2.98 + t^3.02 + t^3.38 + 2*t^3.42 + t^3.87 + t^4.27 + t^4.31 + t^4.35 + t^4.67 + 2*t^4.71 + t^5.08 + t^5.11 + 2*t^5.15 + t^5.19 + 2*t^5.52 + 3*t^5.56 + t^5.6 + t^5.92 + 2*t^5.96 - t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | 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$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |