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 |
|---|---|---|---|---|---|---|---|---|---|
| 2173 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6939 | 0.8782 | 0.7902 | [X:[], M:[0.9634, 1.0882, 1.1398, 0.8602, 0.6839, 0.7355, 0.8602], q:[0.772, 0.5441], qb:[0.4925, 0.3677], phi:[0.4559]] | [X:[], M:[[13], [-4], [5], [-5], [3], [12], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_4$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_6M_7$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_6\phi_1^2$, $ M_1M_6$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_2M_6$, $ M_1M_7$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_7$ | $M_5q_1q_2$ | -1 | t^2.05 + t^2.21 + 2*t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.57 + t^3.95 + 2*t^4.1 + t^4.26 + t^4.32 + t^4.41 + t^4.48 + 3*t^4.63 + 3*t^4.79 + 2*t^4.94 + t^5.1 + 3*t^5.16 + 3*t^5.32 + 3*t^5.47 + t^5.63 + 2*t^5.78 + t^5.85 - t^6. + 4*t^6.15 + 3*t^6.31 + 2*t^6.46 + 2*t^6.53 + t^6.62 + 4*t^6.68 + 4*t^6.84 + 2*t^6.9 + 4*t^6.99 + 2*t^7.06 + 3*t^7.15 + 4*t^7.21 + t^7.3 + 5*t^7.37 + 5*t^7.52 + 5*t^7.68 + 2*t^7.74 + 2*t^7.83 + 2*t^7.9 + 2*t^7.99 + 2*t^8.05 + 3*t^8.21 + 6*t^8.36 + 4*t^8.52 - 4*t^8.58 + t^8.65 + 3*t^8.67 + 4*t^8.74 + t^8.8 + t^8.83 + 3*t^8.89 + t^8.95 - t^4.37/y - t^6.42/y - t^6.57/y - t^6.95/y + t^7.48/y + (2*t^7.63)/y + (4*t^7.79)/y + (2*t^7.94)/y + t^8.1/y + (2*t^8.16)/y + (4*t^8.32)/y + (2*t^8.47)/y + t^8.63/y + (2*t^8.85)/y - t^4.37*y - t^6.42*y - t^6.57*y - t^6.95*y + t^7.48*y + 2*t^7.63*y + 4*t^7.79*y + 2*t^7.94*y + t^8.1*y + 2*t^8.16*y + 4*t^8.32*y + 2*t^8.47*y + t^8.63*y + 2*t^8.85*y | g1^3*t^2.05 + g1^12*t^2.21 + (2*t^2.58)/g1^5 + g1^4*t^2.74 + g1^13*t^2.89 + t^3.26/g1^4 + g1^14*t^3.57 + t^3.95/g1^3 + 2*g1^6*t^4.1 + g1^15*t^4.26 + t^4.32/g1^20 + g1^24*t^4.41 + t^4.48/g1^11 + (3*t^4.63)/g1^2 + 3*g1^7*t^4.79 + 2*g1^16*t^4.94 + g1^25*t^5.1 + (3*t^5.16)/g1^10 + (3*t^5.32)/g1 + 3*g1^8*t^5.47 + g1^17*t^5.63 + 2*g1^26*t^5.78 + t^5.85/g1^9 - t^6. + 4*g1^9*t^6.15 + 3*g1^18*t^6.31 + 2*g1^27*t^6.46 + (2*t^6.53)/g1^8 + g1^36*t^6.62 + 4*g1*t^6.68 + 4*g1^10*t^6.84 + (2*t^6.9)/g1^25 + 4*g1^19*t^6.99 + (2*t^7.06)/g1^16 + 3*g1^28*t^7.15 + (4*t^7.21)/g1^7 + g1^37*t^7.3 + 5*g1^2*t^7.37 + 5*g1^11*t^7.52 + 5*g1^20*t^7.68 + (2*t^7.74)/g1^15 + 2*g1^29*t^7.83 + (2*t^7.9)/g1^6 + 2*g1^38*t^7.99 + 2*g1^3*t^8.05 + 3*g1^12*t^8.21 + 6*g1^21*t^8.36 + 4*g1^30*t^8.52 - (4*t^8.58)/g1^5 + t^8.65/g1^40 + 3*g1^39*t^8.67 + 4*g1^4*t^8.74 + t^8.8/g1^31 + g1^48*t^8.83 + 3*g1^13*t^8.89 + t^8.95/g1^22 - (g1^2*t^4.37)/y - (g1^5*t^6.42)/y - (g1^14*t^6.57)/y - t^6.95/(g1^3*y) + t^7.48/(g1^11*y) + (2*t^7.63)/(g1^2*y) + (4*g1^7*t^7.79)/y + (2*g1^16*t^7.94)/y + (g1^25*t^8.1)/y + (2*t^8.16)/(g1^10*y) + (4*t^8.32)/(g1*y) + (2*g1^8*t^8.47)/y + (g1^17*t^8.63)/y + (2*t^8.85)/(g1^9*y) - g1^2*t^4.37*y - g1^5*t^6.42*y - g1^14*t^6.57*y - (t^6.95*y)/g1^3 + (t^7.48*y)/g1^11 + (2*t^7.63*y)/g1^2 + 4*g1^7*t^7.79*y + 2*g1^16*t^7.94*y + g1^25*t^8.1*y + (2*t^8.16*y)/g1^10 + (4*t^8.32*y)/g1 + 2*g1^8*t^8.47*y + g1^17*t^8.63*y + (2*t^8.85*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4152 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ + $ M_1M_6$ | 0.6667 | 0.8442 | 0.7897 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.72, 0.88, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 + 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 166683/250000, c: 105529/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 18/25, M6: 22/25, M7: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 4153 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7107 | 0.9076 | 0.7831 | [X:[], M:[0.9888, 1.0804, 1.1495, 0.8505, 0.6897, 0.7589, 0.8505, 0.7813], q:[0.7701, 0.5402], qb:[0.471, 0.3795], phi:[0.4598]] | t^2.07 + t^2.28 + t^2.34 + 2*t^2.55 + t^2.76 + t^2.97 + t^3.24 + t^3.93 + 2*t^4.14 + t^4.21 + t^4.35 + 2*t^4.41 + t^4.55 + 4*t^4.62 + t^4.69 + 3*t^4.83 + 2*t^4.9 + 2*t^5.04 + 4*t^5.1 + t^5.24 + 4*t^5.31 + 3*t^5.52 + t^5.58 + t^5.79 + t^5.93 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 4154 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ + $ M_8q_1q_2$ | 0.7147 | 0.9187 | 0.7779 | [X:[], M:[0.9625, 1.0885, 1.1394, 0.8606, 0.6836, 0.7346, 0.8606, 0.6836], q:[0.7721, 0.5442], qb:[0.4933, 0.3673], phi:[0.4558]] | 2*t^2.05 + t^2.2 + 2*t^2.58 + t^2.73 + t^2.89 + t^3.27 + t^3.57 + 4*t^4.1 + 2*t^4.25 + t^4.33 + t^4.41 + t^4.48 + 5*t^4.63 + 4*t^4.79 + 3*t^4.94 + t^5.09 + 3*t^5.16 + 4*t^5.32 + 3*t^5.47 + 2*t^5.62 + 2*t^5.77 + t^5.85 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1135 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6818 | 0.8582 | 0.7944 | [X:[], M:[0.9502, 1.0922, 1.1347, 0.8653, 0.6808, 0.7233], q:[0.7731, 0.5461], qb:[0.5037, 0.3616], phi:[0.4539]] | t^2.04 + t^2.17 + t^2.6 + t^2.72 + t^2.85 + t^3.28 + t^3.4 + t^3.53 + t^3.96 + 2*t^4.08 + t^4.21 + t^4.34 + t^4.38 + t^4.51 + 2*t^4.64 + 2*t^4.77 + 2*t^4.89 + t^5.02 + t^5.19 + 2*t^5.32 + 3*t^5.45 + 2*t^5.57 + 2*t^5.7 - t^4.36/y - t^4.36*y | detail |