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 |
|---|---|---|---|---|---|---|---|---|---|
| 2103 | 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.5827 | 0.7345 | 0.7934 | [X:[], M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [14]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ \phi_1^3q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.13 + t^2.15 + t^2.57 + 2*t^3.01 + t^3.41 + t^3.43 + t^3.45 + t^3.85 + t^4.26 + t^4.28 + t^4.29 + t^4.7 + 2*t^4.72 + 3*t^5.14 + 2*t^5.15 + t^5.54 + t^5.56 + 3*t^5.58 + t^5.59 + t^5.98 - t^6. + 3*t^6.02 + t^6.39 + t^6.41 + 2*t^6.42 + t^6.44 + 2*t^6.46 + 2*t^6.83 + t^6.85 + 2*t^6.86 + t^6.89 + 3*t^7.27 + 2*t^7.28 + t^7.3 + t^7.67 + t^7.69 + 3*t^7.71 + 3*t^7.72 + t^7.74 + t^8.11 - 2*t^8.13 + 2*t^8.15 + 3*t^8.16 + t^8.52 + t^8.54 + 2*t^8.55 - t^8.57 + 3*t^8.59 + 2*t^8.6 + 2*t^8.96 + t^8.98 - t^4.28/y - t^6.41/y - t^6.85/y + (2*t^7.28)/y - t^7.29/y + t^7.7/y + (2*t^7.72)/y + (2*t^8.14)/y + (3*t^8.15)/y + (2*t^8.56)/y + (4*t^8.58)/y + t^8.59/y + t^8.98/y - t^4.28*y - t^6.41*y - t^6.85*y + 2*t^7.28*y - t^7.29*y + t^7.7*y + 2*t^7.72*y + 2*t^8.14*y + 3*t^8.15*y + 2*t^8.56*y + 4*t^8.58*y + t^8.59*y + t^8.98*y | t^2.13/g1^22 + g1^6*t^2.15 + t^2.57/g1^4 + 2*g1^14*t^3.01 + t^3.41/g1^24 + g1^4*t^3.43 + g1^32*t^3.45 + t^3.85/g1^6 + t^4.26/g1^44 + t^4.28/g1^16 + g1^12*t^4.29 + t^4.7/g1^26 + 2*g1^2*t^4.72 + (3*t^5.14)/g1^8 + 2*g1^20*t^5.15 + t^5.54/g1^46 + t^5.56/g1^18 + 3*g1^10*t^5.58 + g1^38*t^5.59 + t^5.98/g1^28 - t^6. + 3*g1^28*t^6.02 + t^6.39/g1^66 + t^6.41/g1^38 + (2*t^6.42)/g1^10 + g1^18*t^6.44 + 2*g1^46*t^6.46 + (2*t^6.83)/g1^48 + t^6.85/g1^20 + 2*g1^8*t^6.86 + g1^64*t^6.89 + (3*t^7.27)/g1^30 + (2*t^7.28)/g1^2 + g1^26*t^7.3 + t^7.67/g1^68 + t^7.69/g1^40 + (3*t^7.71)/g1^12 + 3*g1^16*t^7.72 + g1^44*t^7.74 + t^8.11/g1^50 - (2*t^8.13)/g1^22 + 2*g1^6*t^8.15 + 3*g1^34*t^8.16 + t^8.52/g1^88 + t^8.54/g1^60 + (2*t^8.55)/g1^32 - t^8.57/g1^4 + 3*g1^24*t^8.59 + 2*g1^52*t^8.6 + (2*t^8.96)/g1^70 + t^8.98/g1^42 - t^4.28/(g1^2*y) - t^6.41/(g1^24*y) - t^6.85/(g1^6*y) + (2*t^7.28)/(g1^16*y) - (g1^12*t^7.29)/y + t^7.7/(g1^26*y) + (2*g1^2*t^7.72)/y + (2*t^8.14)/(g1^8*y) + (3*g1^20*t^8.15)/y + (2*t^8.56)/(g1^18*y) + (4*g1^10*t^8.58)/y + (g1^38*t^8.59)/y + t^8.98/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.41*y)/g1^24 - (t^6.85*y)/g1^6 + (2*t^7.28*y)/g1^16 - g1^12*t^7.29*y + (t^7.7*y)/g1^26 + 2*g1^2*t^7.72*y + (2*t^8.14*y)/g1^8 + 3*g1^20*t^8.15*y + (2*t^8.56*y)/g1^18 + 4*g1^10*t^8.58*y + g1^38*t^8.59*y + (t^8.98*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3192 | $M_1q_1q_2$ + $ 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.5765 | 0.7287 | 0.7912 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 7014/12167, c: 17731/24334, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3190 | $M_1q_1q_2$ + $ 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_7$ | 0.603 | 0.7726 | 0.7805 | [X:[], M:[1.0009, 0.7128, 0.9991, 0.7147, 1.2853, 1.0009, 0.7147], q:[0.6427, 0.3564], qb:[0.3583, 0.9289], phi:[0.4284]] | 3*t^2.14 + t^2.57 + 2*t^3. + t^3.42 + 2*t^3.43 + 3*t^4.28 + 3*t^4.29 + 4*t^4.71 + 3*t^5.14 + 4*t^5.15 + t^5.56 + 6*t^5.57 + 2*t^5.58 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 3188 | $M_1q_1q_2$ + $ 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.5954 | 0.7562 | 0.7874 | [X:[], M:[1.0064, 0.7042, 0.9936, 0.717, 1.283, 1.0064, 0.8553], q:[0.6415, 0.3521], qb:[0.365, 0.9309], phi:[0.4277]] | t^2.11 + t^2.15 + 2*t^2.57 + 2*t^3.02 + t^3.4 + t^3.47 + t^3.85 + t^4.22 + t^4.26 + t^4.3 + 2*t^4.68 + 3*t^4.72 + 5*t^5.13 + 2*t^5.17 + t^5.51 + 4*t^5.59 + t^5.62 + 2*t^5.96 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 3187 | $M_1q_1q_2$ + $ 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.5963 | 0.759 | 0.7856 | [X:[], M:[0.9827, 0.7415, 1.0173, 0.7069, 1.2931, 0.9827, 0.8275], q:[0.6466, 0.3707], qb:[0.3361, 0.9224], phi:[0.431]] | t^2.12 + t^2.22 + t^2.48 + t^2.59 + 2*t^2.95 + t^3.31 + t^3.41 + t^3.88 + t^4.24 + t^4.35 + t^4.45 + t^4.6 + 3*t^4.71 + t^4.81 + t^4.96 + 3*t^5.07 + 3*t^5.17 + 3*t^5.43 + 3*t^5.53 + t^5.79 + 4*t^5.9 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 3189 | $M_1q_1q_2$ + $ 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$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5978 | 0.762 | 0.7845 | [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 992 | 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$ + $ M_3M_6$ | 0.6987 | 0.854 | 0.8182 | [X:[], M:[1.0279, 0.9112, 0.9721, 0.9671, 1.0329, 1.0279], q:[0.5165, 0.4556], qb:[0.5115, 0.5773], phi:[0.4848]] | t^2.73 + t^2.9 + t^2.91 + 2*t^3.08 + t^3.1 + t^3.28 + t^4.19 + t^4.36 + t^4.37 + t^4.52 + t^4.54 + 2*t^4.55 + t^4.72 + t^4.74 + t^4.92 + t^5.47 + t^5.64 + t^5.81 + t^5.82 + 3*t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail |