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 |
|---|---|---|---|---|---|---|---|---|---|
| 2019 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6465 | 0.8499 | 0.7606 | [X:[], M:[0.9772, 1.0684, 0.9772, 0.7443, 0.7443, 0.7899], q:[0.7443, 0.2785], qb:[0.4658, 0.4658], phi:[0.5114]] | [X:[], M:[[4], [-12], [4], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_2M_4$, $ M_2M_5$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_6q_1\tilde{q}_1$ | -5 | 4*t^2.23 + t^2.37 + 2*t^2.93 + 2*t^3.21 + t^3.63 + 3*t^4.33 + 10*t^4.47 + 4*t^4.6 + t^4.74 + 8*t^5.16 + 2*t^5.3 + 6*t^5.44 + 2*t^5.57 + 6*t^5.86 - 5*t^6. + 2*t^6.14 + 3*t^6.41 + 10*t^6.56 + 19*t^6.7 + 8*t^6.84 + 2*t^6.97 + t^7.11 + 4*t^7.26 + 15*t^7.4 + 6*t^7.53 + 14*t^7.67 + 6*t^7.81 + 2*t^7.94 + t^7.96 + 12*t^8.1 - 18*t^8.23 - t^8.37 + 2*t^8.51 + 8*t^8.64 + 5*t^8.66 + 3*t^8.78 + 24*t^8.79 + 18*t^8.93 - t^4.53/y - (2*t^6.77)/y - t^6.9/y + t^7.33/y + (5*t^7.47)/y + (5*t^7.6)/y - t^7.74/y + (9*t^8.16)/y + (4*t^8.3)/y + (8*t^8.44)/y + (2*t^8.57)/y + (5*t^8.86)/y - t^4.53*y - 2*t^6.77*y - t^6.9*y + t^7.33*y + 5*t^7.47*y + 5*t^7.6*y - t^7.74*y + 9*t^8.16*y + 4*t^8.3*y + 8*t^8.44*y + 2*t^8.57*y + 5*t^8.86*y | 4*g1*t^2.23 + t^2.37/g1^7 + 2*g1^4*t^2.93 + (2*t^3.21)/g1^12 + g1^7*t^3.63 + 3*g1^10*t^4.33 + 10*g1^2*t^4.47 + (4*t^4.6)/g1^6 + t^4.74/g1^14 + 8*g1^5*t^5.16 + (2*t^5.3)/g1^3 + (6*t^5.44)/g1^11 + (2*t^5.57)/g1^19 + 6*g1^8*t^5.86 - 5*t^6. + (2*t^6.14)/g1^8 + (3*t^6.41)/g1^24 + 10*g1^11*t^6.56 + 19*g1^3*t^6.7 + (8*t^6.84)/g1^5 + (2*t^6.97)/g1^13 + t^7.11/g1^21 + 4*g1^14*t^7.26 + 15*g1^6*t^7.4 + (6*t^7.53)/g1^2 + (14*t^7.67)/g1^10 + (6*t^7.81)/g1^18 + (2*t^7.94)/g1^26 + g1^17*t^7.96 + 12*g1^9*t^8.1 - 18*g1*t^8.23 - t^8.37/g1^7 + (2*t^8.51)/g1^15 + (8*t^8.64)/g1^23 + 5*g1^20*t^8.66 + (3*t^8.78)/g1^31 + 24*g1^12*t^8.79 + 18*g1^4*t^8.93 - t^4.53/(g1^2*y) - (2*t^6.77)/(g1*y) - t^6.9/(g1^9*y) + (g1^10*t^7.33)/y + (5*g1^2*t^7.47)/y + (5*t^7.6)/(g1^6*y) - t^7.74/(g1^14*y) + (9*g1^5*t^8.16)/y + (4*t^8.3)/(g1^3*y) + (8*t^8.44)/(g1^11*y) + (2*t^8.57)/(g1^19*y) + (5*g1^8*t^8.86)/y - (t^4.53*y)/g1^2 - (2*t^6.77*y)/g1 - (t^6.9*y)/g1^9 + g1^10*t^7.33*y + 5*g1^2*t^7.47*y + (5*t^7.6*y)/g1^6 - (t^7.74*y)/g1^14 + 9*g1^5*t^8.16*y + (4*t^8.3*y)/g1^3 + (8*t^8.44*y)/g1^11 + (2*t^8.57*y)/g1^19 + 5*g1^8*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 3074 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6409 | 0.8449 | 0.7586 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.21 + t^2.53 + 2*t^2.84 + 3*t^3.47 + 3*t^4.11 + 10*t^4.42 + 4*t^4.74 + 9*t^5.05 + 2*t^5.37 + 12*t^5.68 - 3*t^6. - t^4.58/y - t^4.58*y | detail | {a: 1851/2888, c: 305/361, M1: 18/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 3075 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6639 | 0.8812 | 0.7534 | [X:[], M:[0.9843, 1.0472, 0.9843, 0.7461, 0.7461, 0.7775, 0.7775], q:[0.7461, 0.2697], qb:[0.4764, 0.4764], phi:[0.5079]] | 4*t^2.24 + 2*t^2.33 + 2*t^2.95 + 2*t^3.14 + 3*t^4.38 + 10*t^4.48 + 8*t^4.57 + 3*t^4.67 + 8*t^5.19 + 4*t^5.29 + 6*t^5.38 + 4*t^5.47 + 2*t^5.91 - 6*t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6298 | 0.8212 | 0.7669 | [X:[], M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | 4*t^2.23 + 2*t^2.91 + 2*t^3.28 + 2*t^3.59 + 3*t^4.26 + 10*t^4.45 + 8*t^5.13 + 6*t^5.51 + 10*t^5.81 - 6*t^6. - t^4.55/y - t^4.55*y | detail |