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 |
|---|---|---|---|---|---|---|---|---|---|
| 47248 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6514 | 0.8126 | 0.8016 | [X:[], M:[0.841, 1.2103, 0.7897, 0.7897, 0.8924], q:[0.7384, 0.4205], qb:[0.3692, 0.7897], phi:[0.4205]] | [X:[], M:[[-4], [-1], [1], [1], [-9]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_5^2$, $ \phi_1q_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | 2*t^2.37 + 2*t^2.52 + t^2.68 + 2*t^3.48 + t^3.63 + t^3.78 + 2*t^4.58 + 4*t^4.74 + 3*t^4.89 + 4*t^5.05 + 2*t^5.2 + t^5.35 + t^5.69 + 3*t^5.85 + 2*t^6. + 2*t^6.15 + 2*t^6.31 + t^6.46 + 3*t^6.95 + 5*t^7.11 + 5*t^7.26 + 6*t^7.42 + 7*t^7.57 + 4*t^7.72 + 2*t^7.88 + t^8.03 + 3*t^8.06 + 4*t^8.22 - t^8.37 + t^8.52 + 2*t^8.83 + 2*t^8.98 - t^4.26/y - t^6.63/y - (2*t^6.78)/y - t^6.94/y + t^7.58/y + (3*t^7.74)/y + (5*t^7.89)/y + (3*t^8.05)/y + (2*t^8.2)/y + (4*t^8.85)/y - t^4.26*y - t^6.63*y - 2*t^6.78*y - t^6.94*y + t^7.58*y + 3*t^7.74*y + 5*t^7.89*y + 3*t^8.05*y + 2*t^8.2*y + 4*t^8.85*y | 2*g1*t^2.37 + (2*t^2.52)/g1^4 + t^2.68/g1^9 + 2*g1^4*t^3.48 + t^3.63/g1 + t^3.78/g1^6 + 2*g1^7*t^4.58 + 4*g1^2*t^4.74 + (3*t^4.89)/g1^3 + (4*t^5.05)/g1^8 + (2*t^5.2)/g1^13 + t^5.35/g1^18 + g1^10*t^5.69 + 3*g1^5*t^5.85 + 2*t^6. + (2*t^6.15)/g1^5 + (2*t^6.31)/g1^10 + t^6.46/g1^15 + 3*g1^8*t^6.95 + 5*g1^3*t^7.11 + (5*t^7.26)/g1^2 + (6*t^7.42)/g1^7 + (7*t^7.57)/g1^12 + (4*t^7.72)/g1^17 + (2*t^7.88)/g1^22 + t^8.03/g1^27 + 3*g1^11*t^8.06 + 4*g1^6*t^8.22 - g1*t^8.37 + t^8.52/g1^4 + (2*t^8.83)/g1^14 + (2*t^8.98)/g1^19 - t^4.26/(g1^2*y) - t^6.63/(g1*y) - (2*t^6.78)/(g1^6*y) - t^6.94/(g1^11*y) + (g1^7*t^7.58)/y + (3*g1^2*t^7.74)/y + (5*t^7.89)/(g1^3*y) + (3*t^8.05)/(g1^8*y) + (2*t^8.2)/(g1^13*y) + (4*g1^5*t^8.85)/y - (t^4.26*y)/g1^2 - (t^6.63*y)/g1 - (2*t^6.78*y)/g1^6 - (t^6.94*y)/g1^11 + g1^7*t^7.58*y + 3*g1^2*t^7.74*y + (5*t^7.89*y)/g1^3 + (3*t^8.05*y)/g1^8 + (2*t^8.2*y)/g1^13 + 4*g1^5*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 50838 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6332 | 0.7918 | 0.7996 | [X:[], M:[0.9231, 1.2308, 0.7692, 0.7692, 1.0769], q:[0.6154, 0.4615], qb:[0.3077, 0.7692], phi:[0.4615]] | 2*t^2.31 + 2*t^2.77 + 3*t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 4*t^5.08 + 7*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 22257/35152, c: 13917/17576, M1: 12/13, M2: 16/13, M3: 10/13, M4: 10/13, M5: 14/13, q1: 8/13, q2: 6/13, qb1: 4/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46731 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ | 0.6453 | 0.804 | 0.8026 | [X:[], M:[0.8793, 1.2198, 0.7802, 0.7802], q:[0.681, 0.4397], qb:[0.3405, 0.7802], phi:[0.4397]] | 2*t^2.34 + 2*t^2.64 + t^3.06 + 2*t^3.36 + t^3.66 + t^3.96 + 2*t^4.38 + 4*t^4.68 + 3*t^4.98 + 2*t^5.28 + 3*t^5.4 + 5*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*y | detail |