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 |
|---|---|---|---|---|---|---|---|---|---|
| 3075 | 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$ + $ 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]] | [X:[], M:[[4], [-12], [4], [1], [1], [-7], [-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_7$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \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$, $ M_4M_7$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ 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_1M_7$, $ M_3M_7$, $ 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_2M_7$, $ M_6\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | . | -6 | 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. + 2*t^6.09 + 3*t^6.28 + 8*t^6.62 + 22*t^6.71 + 16*t^6.81 + 10*t^6.9 + 4*t^7. + 3*t^7.33 + 15*t^7.43 + 14*t^7.52 + 18*t^7.62 + 12*t^7.71 + 6*t^7.81 - 2*t^8.05 + 2*t^8.14 - 20*t^8.24 - 8*t^8.33 + 4*t^8.43 + 8*t^8.52 + 6*t^8.62 + 5*t^8.76 + 16*t^8.86 + 24*t^8.95 - t^4.52/y - (2*t^6.76)/y - (2*t^6.86)/y + t^7.38/y + (5*t^7.48)/y + (9*t^7.57)/y + (10*t^8.19)/y + (6*t^8.29)/y + (8*t^8.38)/y + (4*t^8.47)/y + t^8.91/y - t^4.52*y - 2*t^6.76*y - 2*t^6.86*y + t^7.38*y + 5*t^7.48*y + 9*t^7.57*y + 10*t^8.19*y + 6*t^8.29*y + 8*t^8.38*y + 4*t^8.47*y + t^8.91*y | 4*g1*t^2.24 + (2*t^2.33)/g1^7 + 2*g1^4*t^2.95 + (2*t^3.14)/g1^12 + 3*g1^10*t^4.38 + 10*g1^2*t^4.48 + (8*t^4.57)/g1^6 + (3*t^4.67)/g1^14 + 8*g1^5*t^5.19 + (4*t^5.29)/g1^3 + (6*t^5.38)/g1^11 + (4*t^5.47)/g1^19 + 2*g1^8*t^5.91 - 6*t^6. + (2*t^6.09)/g1^8 + (3*t^6.28)/g1^24 + 8*g1^11*t^6.62 + 22*g1^3*t^6.71 + (16*t^6.81)/g1^5 + (10*t^6.9)/g1^13 + (4*t^7.)/g1^21 + 3*g1^14*t^7.33 + 15*g1^6*t^7.43 + (14*t^7.52)/g1^2 + (18*t^7.62)/g1^10 + (12*t^7.71)/g1^18 + (6*t^7.81)/g1^26 - 2*g1^17*t^8.05 + 2*g1^9*t^8.14 - 20*g1*t^8.24 - (8*t^8.33)/g1^7 + (4*t^8.43)/g1^15 + (8*t^8.52)/g1^23 + (6*t^8.62)/g1^31 + 5*g1^20*t^8.76 + 16*g1^12*t^8.86 + 24*g1^4*t^8.95 - t^4.52/(g1^2*y) - (2*t^6.76)/(g1*y) - (2*t^6.86)/(g1^9*y) + (g1^10*t^7.38)/y + (5*g1^2*t^7.48)/y + (9*t^7.57)/(g1^6*y) + (10*g1^5*t^8.19)/y + (6*t^8.29)/(g1^3*y) + (8*t^8.38)/(g1^11*y) + (4*t^8.47)/(g1^19*y) + (g1^8*t^8.91)/y - (t^4.52*y)/g1^2 - (2*t^6.76*y)/g1 - (2*t^6.86*y)/g1^9 + g1^10*t^7.38*y + 5*g1^2*t^7.48*y + (9*t^7.57*y)/g1^6 + 10*g1^5*t^8.19*y + (6*t^8.29*y)/g1^3 + (8*t^8.38*y)/g1^11 + (4*t^8.47*y)/g1^19 + g1^8*t^8.91*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.53/y - t^4.53*y | detail |