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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | 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_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6466 | 0.8096 | 0.7987 | [X:[], M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-38]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ M_7$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1^2$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_1M_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_5M_7$, $ M_2M_5$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_2M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.13 + t^2.39 + t^2.65 + t^3.09 + t^3.13 + t^3.35 + t^3.57 + t^3.61 + t^3.83 + 2*t^4.09 + t^4.27 + t^4.34 + t^4.53 + t^4.6 + 2*t^4.78 + t^5.04 + t^5.22 + t^5.26 + t^5.3 + t^5.48 + t^5.52 + t^5.7 + t^5.74 + t^5.78 + 2*t^5.96 - t^6. + t^6.18 + 4*t^6.22 - t^6.26 + t^6.4 + t^6.44 + 3*t^6.48 - t^6.52 + 2*t^6.66 + t^6.7 + 3*t^6.74 + 3*t^6.92 + t^7. + t^7.14 + 3*t^7.18 + t^7.25 + t^7.36 + 2*t^7.4 + 2*t^7.44 + t^7.62 + 3*t^7.66 + t^7.69 + t^7.84 + t^7.88 + 3*t^7.91 + 2*t^8.1 - 2*t^8.13 + 3*t^8.17 + t^8.32 + 5*t^8.35 - 3*t^8.39 + 2*t^8.43 + t^8.54 + t^8.57 + 4*t^8.61 - 4*t^8.65 + 2*t^8.69 + 2*t^8.79 + t^8.83 + 4*t^8.87 - 2*t^8.91 + t^8.95 - t^4.44/y - t^6.57/y + t^7.34/y + t^7.78/y + t^8.04/y + t^8.22/y + t^8.26/y + t^8.3/y + (2*t^8.48)/y + t^8.52/y + (3*t^8.74)/y + t^8.78/y + (2*t^8.96)/y - t^4.44*y - t^6.57*y + t^7.34*y + t^7.78*y + t^8.04*y + t^8.22*y + t^8.26*y + t^8.3*y + 2*t^8.48*y + t^8.52*y + 3*t^8.74*y + t^8.78*y + 2*t^8.96*y | t^2.13/g1^34 + t^2.39/g1^10 + g1^14*t^2.65 + t^3.09/g1^38 + g1^12*t^3.13 + t^3.35/g1^14 + t^3.57/g1^40 + g1^10*t^3.61 + t^3.83/g1^16 + 2*g1^8*t^4.09 + t^4.27/g1^68 + g1^32*t^4.34 + t^4.53/g1^44 + g1^56*t^4.6 + (2*t^4.78)/g1^20 + g1^4*t^5.04 + t^5.22/g1^72 + t^5.26/g1^22 + g1^28*t^5.3 + t^5.48/g1^48 + g1^2*t^5.52 + t^5.7/g1^74 + t^5.74/g1^24 + g1^26*t^5.78 + (2*t^5.96)/g1^50 - t^6. + t^6.18/g1^76 + (4*t^6.22)/g1^26 - g1^24*t^6.26 + t^6.4/g1^102 + t^6.44/g1^52 + (3*t^6.48)/g1^2 - g1^48*t^6.52 + (2*t^6.66)/g1^78 + t^6.7/g1^28 + 3*g1^22*t^6.74 + (3*t^6.92)/g1^54 + g1^46*t^7. + t^7.14/g1^80 + (3*t^7.18)/g1^30 + g1^70*t^7.25 + t^7.36/g1^106 + (2*t^7.4)/g1^56 + (2*t^7.44)/g1^6 + t^7.62/g1^82 + (3*t^7.66)/g1^32 + g1^18*t^7.69 + t^7.84/g1^108 + t^7.88/g1^58 + (3*t^7.91)/g1^8 + (2*t^8.1)/g1^84 - (2*t^8.13)/g1^34 + 3*g1^16*t^8.17 + t^8.32/g1^110 + (5*t^8.35)/g1^60 - (3*t^8.39)/g1^10 + 2*g1^40*t^8.43 + t^8.54/g1^136 + t^8.57/g1^86 + (4*t^8.61)/g1^36 - 4*g1^14*t^8.65 + 2*g1^64*t^8.69 + (2*t^8.79)/g1^112 + t^8.83/g1^62 + (4*t^8.87)/g1^12 - 2*g1^38*t^8.91 + g1^88*t^8.95 - t^4.44/(g1^6*y) - t^6.57/(g1^40*y) + (g1^32*t^7.34)/y + t^7.78/(g1^20*y) + (g1^4*t^8.04)/y + t^8.22/(g1^72*y) + t^8.26/(g1^22*y) + (g1^28*t^8.3)/y + (2*t^8.48)/(g1^48*y) + (g1^2*t^8.52)/y + (3*t^8.74)/(g1^24*y) + (g1^26*t^8.78)/y + (2*t^8.96)/(g1^50*y) - (t^4.44*y)/g1^6 - (t^6.57*y)/g1^40 + g1^32*t^7.34*y + (t^7.78*y)/g1^20 + g1^4*t^8.04*y + (t^8.22*y)/g1^72 + (t^8.26*y)/g1^22 + g1^28*t^8.3*y + (2*t^8.48*y)/g1^48 + g1^2*t^8.52*y + (3*t^8.74*y)/g1^24 + g1^26*t^8.78*y + (2*t^8.96*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4417 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6441 | 0.8046 | 0.8005 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.59 + t^3.08 + t^3.24 + 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 + t^5.03 + t^5.19 + t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 522003/810448, c: 326029/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 4419 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6465 | 0.809 | 0.7991 | [X:[], M:[0.72, 1.04, 1.2, 1.12, 0.8, 0.88, 1.04], q:[0.52, 0.76], qb:[0.36, 0.44], phi:[0.48]] | t^2.16 + t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 2*t^4.8 + t^5.04 + 3*t^5.28 + 2*t^5.52 + 3*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 1293/2000, c: 809/1000, M1: 18/25, M2: 26/25, M3: 6/5, M4: 28/25, M5: 4/5, M6: 22/25, M7: 26/25, q1: 13/25, q2: 19/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 4422 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6666 | 0.8467 | 0.7873 | [X:[], M:[0.7168, 1.0411, 1.2009, 1.1187, 0.7991, 0.8813, 1.0364, 0.7215], q:[0.5229, 0.7603], qb:[0.3584, 0.4407], phi:[0.4794]] | t^2.15 + t^2.16 + t^2.4 + t^2.64 + t^3.11 + t^3.12 + t^3.36 + t^3.59 + t^3.6 + 2*t^4.08 + t^4.3 + t^4.31 + 2*t^4.33 + t^4.55 + t^4.56 + t^4.58 + 2*t^4.79 + t^4.81 + t^5.04 + t^5.26 + 2*t^5.27 + 2*t^5.29 + t^5.51 + 2*t^5.52 + t^5.74 + 2*t^5.75 + 2*t^5.77 + t^5.99 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 4421 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6634 | 0.8387 | 0.791 | [X:[], M:[0.737, 1.034, 1.195, 1.127, 0.805, 0.873, 1.059, 0.78], q:[0.5045, 0.7585], qb:[0.3685, 0.4365], phi:[0.483]] | t^2.21 + t^2.34 + t^2.41 + t^2.62 + t^3.1 + t^3.18 + t^3.38 + t^3.59 + t^3.86 + 2*t^4.07 + t^4.27 + t^4.42 + t^4.48 + t^4.55 + t^4.63 + t^4.68 + t^4.76 + 2*t^4.83 + t^4.96 + t^5.03 + t^5.24 + t^5.31 + t^5.39 + t^5.44 + 2*t^5.52 + t^5.59 + 2*t^5.72 + t^5.8 + t^5.93 - t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1333 | 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_7q_1\tilde{q}_2$ | 0.709 | 0.8723 | 0.8128 | [X:[], M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]] | t^2.59 + t^2.6 + t^2.86 + t^2.87 + t^3.13 + 2*t^3.14 + t^4.03 + t^4.29 + t^4.3 + t^4.54 + t^4.56 + 2*t^4.58 + t^4.83 + t^4.85 + t^5.12 + t^5.17 + t^5.19 + t^5.2 + t^5.44 + t^5.46 + t^5.47 + t^5.71 + t^5.72 + t^5.73 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.43/y - t^4.43*y | detail |