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 |
|---|---|---|---|---|---|---|---|---|---|
| 573 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | [X:[], M:[[0], [-4], [0], [-4]], q:[[-1], [1]], qb:[[1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$ | $M_1M_3$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. + 2*t^6.42 + t^6.62 + 4*t^6.73 + 8*t^7.04 + 4*t^7.15 + 7*t^7.35 + 3*t^7.46 + 6*t^7.65 + 6*t^7.77 + 3*t^7.96 + 4*t^8.08 - 2*t^8.38 - 2*t^8.69 + 3*t^8.81 - t^4.35/y - (2*t^6.73)/y - t^7.04/y + t^7.65/y + t^7.77/y + (2*t^7.96)/y + (2*t^8.08)/y + (4*t^8.38)/y + (6*t^8.69)/y - t^4.35*y - 2*t^6.73*y - t^7.04*y + t^7.65*y + t^7.77*y + 2*t^7.96*y + 2*t^8.08*y + 4*t^8.38*y + 6*t^8.69*y | (2*t^2.38)/g1^4 + t^2.69/g1^2 + 2*t^3. + 2*g1^2*t^3.31 + t^4.04/g1^3 + (2*t^4.35)/g1 + 4*g1*t^4.65 + (3*t^4.77)/g1^8 + 2*g1^3*t^4.96 + (2*t^5.08)/g1^6 + g1^5*t^5.27 + (4*t^5.38)/g1^4 + (2*t^5.69)/g1^2 - t^6. + (2*t^6.42)/g1^7 + g1^4*t^6.62 + (4*t^6.73)/g1^5 + (8*t^7.04)/g1^3 + (4*t^7.15)/g1^12 + (7*t^7.35)/g1 + (3*t^7.46)/g1^10 + 6*g1*t^7.65 + (6*t^7.77)/g1^8 + 3*g1^3*t^7.96 + (4*t^8.08)/g1^6 - (2*t^8.38)/g1^4 - (2*t^8.69)/g1^2 + (3*t^8.81)/g1^11 - t^4.35/(g1*y) - (2*t^6.73)/(g1^5*y) - t^7.04/(g1^3*y) + (g1*t^7.65)/y + t^7.77/(g1^8*y) + (2*g1^3*t^7.96)/y + (2*t^8.08)/(g1^6*y) + (4*t^8.38)/(g1^4*y) + (6*t^8.69)/(g1^2*y) - (t^4.35*y)/g1 - (2*t^6.73*y)/g1^5 - (t^7.04*y)/g1^3 + g1*t^7.65*y + (t^7.77*y)/g1^8 + 2*g1^3*t^7.96*y + (2*t^8.08*y)/g1^6 + (4*t^8.38*y)/g1^4 + (6*t^8.69*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 888 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 362 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |