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 |
|---|---|---|---|---|---|---|---|---|---|
| 4033 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ + $ M_1M_8$ + $ M_4X_1$ | 0.6945 | 0.8612 | 0.8064 | [X:[1.336], M:[1.004, 1.1093, 1.004, 0.664, 0.8907, 0.7773, 0.7773, 0.996], q:[0.7773, 0.4453], qb:[0.5506, 0.4453], phi:[0.4453]] | [X:[[6]], M:[[9], [-4], [9], [-6], [4], [-1], [-1], [-9]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_8$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_5M_6$, $ M_5M_7$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_6M_8$, $ M_7M_8$, $ M_5^2$, $ M_3M_6$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_8^2$ | $M_3M_8$ | -4 | 2*t^2.33 + 2*t^2.67 + t^2.99 + t^3.01 + t^3.98 + 3*t^4.01 + 2*t^4.32 + t^4.64 + 3*t^4.66 + 4*t^5. + 2*t^5.32 + 5*t^5.34 + 2*t^5.66 + t^5.98 - 4*t^6. + t^6.02 + 4*t^6.34 + 4*t^6.66 + 5*t^6.68 + 3*t^6.97 + 8*t^7. + t^7.02 + 3*t^7.31 + t^7.34 + t^7.63 + 7*t^7.68 + 3*t^7.99 + 9*t^8.02 + 2*t^8.31 - 3*t^8.33 + t^8.36 + t^8.62 + 3*t^8.65 - 5*t^8.67 + t^8.7 + 3*t^8.96 - 2*t^8.99 - t^4.34/y - (2*t^6.67)/y - t^7.01/y + t^7.32/y - t^7.35/y + (2*t^7.66)/y + (6*t^8.)/y + (2*t^8.32)/y + (3*t^8.34)/y + (2*t^8.66)/y + (2*t^8.68)/y - t^4.34*y - 2*t^6.67*y - t^7.01*y + t^7.32*y - t^7.35*y + 2*t^7.66*y + 6*t^8.*y + 2*t^8.32*y + 3*t^8.34*y + 2*t^8.66*y + 2*t^8.68*y | (2*t^2.33)/g1 + 2*g1^4*t^2.67 + t^2.99/g1^9 + g1^9*t^3.01 + t^3.98/g1^12 + 3*g1^6*t^4.01 + (2*t^4.32)/g1^7 + t^4.64/g1^20 + (3*t^4.66)/g1^2 + 4*g1^3*t^5. + (2*t^5.32)/g1^10 + 5*g1^8*t^5.34 + (2*t^5.66)/g1^5 + t^5.98/g1^18 - 4*t^6. + g1^18*t^6.02 + 4*g1^5*t^6.34 + (4*t^6.66)/g1^8 + 5*g1^10*t^6.68 + (3*t^6.97)/g1^21 + (8*t^7.)/g1^3 + g1^15*t^7.02 + (3*t^7.31)/g1^16 + g1^2*t^7.34 + t^7.63/g1^29 + 7*g1^7*t^7.68 + (3*t^7.99)/g1^6 + 9*g1^12*t^8.02 + (2*t^8.31)/g1^19 - (3*t^8.33)/g1 + g1^17*t^8.36 + t^8.62/g1^32 + (3*t^8.65)/g1^14 - 5*g1^4*t^8.67 + g1^22*t^8.7 + (3*t^8.96)/g1^27 - (2*t^8.99)/g1^9 - (g1^2*t^4.34)/y - (2*g1*t^6.67)/y - (g1^6*t^7.01)/y + t^7.32/(g1^7*y) - (g1^11*t^7.35)/y + (2*t^7.66)/(g1^2*y) + (6*g1^3*t^8.)/y + (2*t^8.32)/(g1^10*y) + (3*g1^8*t^8.34)/y + (2*t^8.66)/(g1^5*y) + (2*g1^13*t^8.68)/y - g1^2*t^4.34*y - 2*g1*t^6.67*y - g1^6*t^7.01*y + (t^7.32*y)/g1^7 - g1^11*t^7.35*y + (2*t^7.66*y)/g1^2 + 6*g1^3*t^8.*y + (2*t^8.32*y)/g1^10 + 3*g1^8*t^8.34*y + (2*t^8.66*y)/g1^5 + 2*g1^13*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 5580 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ + $ M_1M_8$ + $ M_4X_1$ + $ M_9q_1\tilde{q}_1$ | 0.7153 | 0.9026 | 0.7925 | [X:[1.3353], M:[1.0029, 1.1098, 1.0029, 0.6647, 0.8902, 0.7775, 0.7775, 0.9971, 0.6705], q:[0.7775, 0.4451], qb:[0.552, 0.4451], phi:[0.4451]] | t^2.01 + 2*t^2.33 + 2*t^2.67 + t^2.99 + t^3.01 + 3*t^4.01 + t^4.02 + 2*t^4.33 + 2*t^4.34 + t^4.65 + 3*t^4.66 + 2*t^4.68 + 5*t^5. + t^5.02 + 2*t^5.32 + 5*t^5.34 + 2*t^5.66 + t^5.98 - 4*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1641 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. - t^4.31/y - t^4.31*y | detail |