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 |
|---|---|---|---|---|---|---|---|---|---|
| 1819 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6643 | 0.8518 | 0.7799 | [X:[], M:[0.8278, 1.1722, 0.8278, 0.6722], q:[0.75, 0.4222], qb:[0.4222, 0.4056], phi:[0.5]] | [X:[], M:[[1], [-1], [1], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.02 + 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.93 + t^3.98 + 4*t^4.03 + 3*t^4.5 + t^4.55 + 6*t^4.97 + 4*t^5.02 + t^5.07 + 4*t^5.48 + 2*t^5.53 + 2*t^5.95 + 3*t^6.05 + 3*t^6.42 + 3*t^6.47 + 10*t^6.52 + 4*t^6.57 + t^6.93 + 4*t^6.98 + 4*t^7.03 + t^7.08 + t^7.4 + 8*t^7.45 + 6*t^7.5 + 4*t^7.55 + t^7.6 + t^7.87 + t^7.92 + 8*t^7.97 + 2*t^8.02 + 9*t^8.07 + 3*t^8.43 - 5*t^8.48 + 3*t^8.53 + 3*t^8.58 + 6*t^8.9 + 5*t^8.95 - t^4.5/y - t^6.52/y - t^6.98/y + (3*t^7.5)/y + t^7.55/y + (3*t^7.97)/y + (5*t^8.02)/y + (5*t^8.48)/y + t^8.53/y + (4*t^8.95)/y - t^4.5*y - t^6.52*y - t^6.98*y + 3*t^7.5*y + t^7.55*y + 3*t^7.97*y + 5*t^8.02*y + 5*t^8.48*y + t^8.53*y + 4*t^8.95*y | t^2.02/g1 + 3*g1*t^2.48 + t^2.53/g1^2 + t^3. + g1^2*t^3.47 + t^3.52/g1 + g1^4*t^3.93 + g1*t^3.98 + (4*t^4.03)/g1^2 + 3*t^4.5 + t^4.55/g1^3 + 6*g1^2*t^4.97 + (4*t^5.02)/g1 + t^5.07/g1^4 + 4*g1*t^5.48 + (2*t^5.53)/g1^2 + 2*g1^3*t^5.95 + (3*t^6.05)/g1^3 + 3*g1^5*t^6.42 + 3*g1^2*t^6.47 + (10*t^6.52)/g1 + (4*t^6.57)/g1^4 + g1^4*t^6.93 + 4*g1*t^6.98 + (4*t^7.03)/g1^2 + t^7.08/g1^5 + g1^6*t^7.4 + 8*g1^3*t^7.45 + 6*t^7.5 + (4*t^7.55)/g1^3 + t^7.6/g1^6 + g1^8*t^7.87 + g1^5*t^7.92 + 8*g1^2*t^7.97 + (2*t^8.02)/g1 + (9*t^8.07)/g1^4 + 3*g1^4*t^8.43 - 5*g1*t^8.48 + (3*t^8.53)/g1^2 + (3*t^8.58)/g1^5 + 6*g1^6*t^8.9 + 5*g1^3*t^8.95 - t^4.5/y - t^6.52/(g1*y) - (g1*t^6.98)/y + (3*t^7.5)/y + t^7.55/(g1^3*y) + (3*g1^2*t^7.97)/y + (5*t^8.02)/(g1*y) + (5*g1*t^8.48)/y + t^8.53/(g1^2*y) + (4*g1^3*t^8.95)/y - t^4.5*y - (t^6.52*y)/g1 - g1*t^6.98*y + 3*t^7.5*y + (t^7.55*y)/g1^3 + 3*g1^2*t^7.97*y + (5*t^8.02*y)/g1 + 5*g1*t^8.48*y + (t^8.53*y)/g1^2 + 4*g1^3*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 2837 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.6791 | 0.8777 | 0.7737 | [X:[], M:[0.8226, 1.1774, 0.8226, 0.6774, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | t^2.03 + 4*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.97 + 4*t^4.06 + 4*t^4.5 + t^4.6 + 10*t^4.94 + 5*t^5.03 + t^5.13 + 5*t^5.47 + t^5.56 + 3*t^5.9 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail |