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 |
|---|---|---|---|---|---|---|---|---|---|
| 53808 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6508 | 0.8175 | 0.7961 | [X:[], M:[1.2064, 1.0156, 0.7936, 0.889, 1.111, 0.6982], q:[0.4445, 0.3491], qb:[0.5399, 0.7619], phi:[0.4761]] | [X:[], M:[[10], [-38], [-10], [14], [-14], [-34]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_6\phi_1q_2^2$, $ M_2M_4$, $ M_3M_5$, $ M_1M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_6\phi_1q_1q_2$, $ M_3\phi_1q_2^2$ | . | -1 | t^2.09 + t^2.38 + t^2.67 + t^2.86 + t^3.05 + t^3.33 + t^3.52 + t^3.62 + t^3.81 + 2*t^4.1 + t^4.19 + t^4.38 + t^4.48 + t^4.67 + 2*t^4.76 + t^4.95 + t^5.05 + t^5.14 + t^5.24 + t^5.33 + t^5.43 + t^5.52 + t^5.62 + 2*t^5.71 + 3*t^5.9 - t^6. + t^6.09 + 4*t^6.19 + t^6.28 - 2*t^6.29 + 2*t^6.38 + 3*t^6.48 + t^6.57 + t^6.67 + 2*t^6.76 + 3*t^6.86 + t^6.95 + 3*t^7.05 + 3*t^7.14 + 3*t^7.33 + 2*t^7.43 + t^7.52 + 4*t^7.62 + 2*t^7.71 + t^7.81 + 2*t^7.9 + 3*t^8. - t^8.09 + 4*t^8.19 + 5*t^8.28 - 2*t^8.38 + 2*t^8.47 + t^8.48 + 5*t^8.57 + 2*t^8.66 - 5*t^8.67 + 5*t^8.76 + 2*t^8.86 + t^8.95 - t^4.43/y - t^6.52/y - t^7.29/y + t^7.38/y + t^7.57/y + t^7.76/y + t^7.95/y + t^8.05/y + t^8.14/y + t^8.24/y + t^8.33/y + (2*t^8.43)/y + t^8.52/y + (3*t^8.71)/y + (3*t^8.9)/y - t^4.43*y - t^6.52*y - t^7.29*y + t^7.38*y + t^7.57*y + t^7.76*y + t^7.95*y + t^8.05*y + t^8.14*y + t^8.24*y + t^8.33*y + 2*t^8.43*y + t^8.52*y + 3*t^8.71*y + 3*t^8.9*y | t^2.09/g1^34 + t^2.38/g1^10 + g1^14*t^2.67 + t^2.86/g1^12 + t^3.05/g1^38 + t^3.33/g1^14 + t^3.52/g1^40 + g1^10*t^3.62 + t^3.81/g1^16 + 2*g1^8*t^4.1 + t^4.19/g1^68 + g1^32*t^4.38 + t^4.48/g1^44 + g1^56*t^4.67 + (2*t^4.76)/g1^20 + t^4.95/g1^46 + g1^4*t^5.05 + t^5.14/g1^72 + t^5.24/g1^22 + g1^28*t^5.33 + t^5.43/g1^48 + g1^2*t^5.52 + t^5.62/g1^74 + (2*t^5.71)/g1^24 + (3*t^5.9)/g1^50 - t^6. + t^6.09/g1^76 + (4*t^6.19)/g1^26 + t^6.28/g1^102 - 2*g1^24*t^6.29 + (2*t^6.38)/g1^52 + (3*t^6.48)/g1^2 + (2*t^6.57)/g1^78 - g1^48*t^6.57 + t^6.67/g1^28 + 2*g1^22*t^6.76 + (3*t^6.86)/g1^54 + t^6.95/g1^4 + (2*t^7.05)/g1^80 + g1^46*t^7.05 + (3*t^7.14)/g1^30 + t^7.24/g1^106 - g1^20*t^7.24 + (2*t^7.33)/g1^56 + g1^70*t^7.33 + (2*t^7.43)/g1^6 + t^7.52/g1^82 + (4*t^7.62)/g1^32 + t^7.71/g1^108 + g1^18*t^7.71 + (2*t^7.81)/g1^58 - g1^68*t^7.81 + (2*t^7.9)/g1^8 + (3*t^8.)/g1^84 - t^8.09/g1^34 + t^8.19/g1^110 + 3*g1^16*t^8.19 + (5*t^8.28)/g1^60 + t^8.38/g1^136 - (3*t^8.38)/g1^10 + (2*t^8.47)/g1^86 + g1^40*t^8.48 + (5*t^8.57)/g1^36 + (2*t^8.66)/g1^112 - 5*g1^14*t^8.67 + (3*t^8.76)/g1^62 + 2*g1^64*t^8.76 + (2*t^8.86)/g1^12 + (4*t^8.95)/g1^88 - 3*g1^38*t^8.95 - t^4.43/(g1^6*y) - t^6.52/(g1^40*y) - t^7.29/(g1^18*y) + (g1^32*t^7.38)/y + (g1^6*t^7.57)/y + t^7.76/(g1^20*y) + t^7.95/(g1^46*y) + (g1^4*t^8.05)/y + t^8.14/(g1^72*y) + t^8.24/(g1^22*y) + (g1^28*t^8.33)/y + (2*t^8.43)/(g1^48*y) + (g1^2*t^8.52)/y + (3*t^8.71)/(g1^24*y) + (3*t^8.9)/(g1^50*y) - (t^4.43*y)/g1^6 - (t^6.52*y)/g1^40 - (t^7.29*y)/g1^18 + g1^32*t^7.38*y + g1^6*t^7.57*y + (t^7.76*y)/g1^20 + (t^7.95*y)/g1^46 + g1^4*t^8.05*y + (t^8.14*y)/g1^72 + (t^8.24*y)/g1^22 + g1^28*t^8.33*y + (2*t^8.43*y)/g1^48 + g1^2*t^8.52*y + (3*t^8.71*y)/g1^24 + (3*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 56479 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_7$ | 0.6611 | 0.834 | 0.7927 | [X:[], M:[1.2024, 1.0309, 0.7976, 0.8833, 1.1167, 0.7119, 0.8833], q:[0.4417, 0.3559], qb:[0.5274, 0.7607], phi:[0.4786]] | t^2.14 + t^2.39 + 2*t^2.65 + t^2.87 + t^3.09 + 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 + 3*t^4.79 + t^5.01 + 2*t^5.04 + t^5.23 + t^5.26 + 3*t^5.3 + 2*t^5.52 + t^5.71 + 2*t^5.74 + 3*t^5.96 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 56535 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6466 | 0.8088 | 0.7995 | [X:[], M:[1.1892, 1.0811, 0.8108, 0.8649, 1.1351, 0.7568], q:[0.4324, 0.3784], qb:[0.4865, 0.7568], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.59 + t^2.92 + 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 + 2*t^5.19 + t^5.35 + 2*t^5.51 + t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 131013/202612, c: 163869/202612, M1: 44/37, M2: 40/37, M3: 30/37, M4: 32/37, M5: 42/37, M6: 28/37, q1: 16/37, q2: 14/37, qb1: 18/37, qb2: 28/37, phi1: 18/37} |
| 56478 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6466 | 0.8096 | 0.7987 | [X:[], M:[1.2025, 1.0303, 0.7975, 0.8836, 1.1164, 0.7113, 1.0431], q:[0.4418, 0.3557], qb:[0.5279, 0.7608], phi:[0.4785]] | 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^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47054 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. - t^4.43/y - t^4.43*y | detail |