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 |
|---|---|---|---|---|---|---|---|---|---|
| 48259 | 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_5\phi_1q_2\tilde{q}_1$ | 0.6629 | 0.8357 | 0.7933 | [X:[], M:[0.8819, 1.2205, 0.7795, 0.7795, 0.7795], q:[0.6772, 0.4409], qb:[0.3386, 0.7795], phi:[0.4409]] | [X:[], M:[[-4], [-1], [1], [1], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\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_5\tilde{q}_1\tilde{q}_2$ | $M_1\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 3*t^2.34 + 2*t^2.65 + t^3.05 + 2*t^3.35 + t^3.97 + 2*t^4.37 + 7*t^4.68 + 5*t^4.98 + 2*t^5.29 + 4*t^5.39 + 7*t^5.69 + t^6.09 - t^6.31 + 2*t^6.4 + t^6.61 + 5*t^6.71 + 11*t^7.02 + 7*t^7.32 + 2*t^7.42 + 3*t^7.63 + 11*t^7.72 + 4*t^7.94 + 12*t^8.03 - 4*t^8.34 + 4*t^8.43 - 6*t^8.65 + 9*t^8.74 - 3*t^8.95 - t^4.32/y - (2*t^6.66)/y - (2*t^6.97)/y + (5*t^7.68)/y + (8*t^7.98)/y + t^8.29/y + (3*t^8.39)/y + (8*t^8.69)/y - t^4.32*y - 2*t^6.66*y - 2*t^6.97*y + 5*t^7.68*y + 8*t^7.98*y + t^8.29*y + 3*t^8.39*y + 8*t^8.69*y | 3*g1*t^2.34 + (2*t^2.65)/g1^4 + g1^9*t^3.05 + 2*g1^4*t^3.35 + t^3.97/g1^6 + 2*g1^7*t^4.37 + 7*g1^2*t^4.68 + (5*t^4.98)/g1^3 + (2*t^5.29)/g1^8 + 4*g1^10*t^5.39 + 7*g1^5*t^5.69 + g1^18*t^6.09 - t^6.31/g1^5 + 2*g1^13*t^6.4 + t^6.61/g1^10 + 5*g1^8*t^6.71 + 11*g1^3*t^7.02 + (7*t^7.32)/g1^2 + 2*g1^16*t^7.42 + (3*t^7.63)/g1^7 + 11*g1^11*t^7.72 + (4*t^7.94)/g1^12 + 12*g1^6*t^8.03 - 4*g1*t^8.34 + 4*g1^19*t^8.43 - (6*t^8.65)/g1^4 + 9*g1^14*t^8.74 - (3*t^8.95)/g1^9 - t^4.32/(g1^2*y) - (2*t^6.66)/(g1*y) - (2*t^6.97)/(g1^6*y) + (5*g1^2*t^7.68)/y + (8*t^7.98)/(g1^3*y) + t^8.29/(g1^8*y) + (3*g1^10*t^8.39)/y + (8*g1^5*t^8.69)/y - (t^4.32*y)/g1^2 - (2*t^6.66*y)/g1 - (2*t^6.97*y)/g1^6 + 5*g1^2*t^7.68*y + (8*t^7.98*y)/g1^3 + (t^8.29*y)/g1^8 + 3*g1^10*t^8.39*y + 8*g1^5*t^8.69*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 |
|---|---|---|---|---|---|---|---|---|
| 50974 | $M_1q_1q_2$ + $ \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_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6685 | 0.8428 | 0.7932 | [X:[], M:[0.8435, 1.2109, 0.7891, 0.7891, 0.7891, 0.898], q:[0.7347, 0.4218], qb:[0.3673, 0.7891], phi:[0.4218]] | 3*t^2.37 + 2*t^2.53 + t^2.69 + 2*t^3.47 + t^3.8 + 2*t^4.57 + 7*t^4.73 + 5*t^4.9 + 5*t^5.06 + 2*t^5.22 + t^5.39 + t^5.67 + 5*t^5.84 - t^4.27/y - t^4.27*y | detail | {a: 5503/8232, c: 3469/4116, M1: 124/147, M2: 178/147, M3: 116/147, M4: 116/147, M5: 116/147, M6: 44/49, q1: 36/49, q2: 62/147, qb1: 18/49, qb2: 116/147, phi1: 62/147} |
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 |