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 |
|---|---|---|---|---|---|---|---|---|---|
| 1757 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1q_2$ | 0.6717 | 0.8683 | 0.7736 | [X:[], M:[1.1457, 0.7086, 0.6771, 0.8229], q:[0.75, 0.4271], qb:[0.4271, 0.3957], phi:[0.5]] | [X:[], M:[[2], [-4], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | -1 | t^2.03 + t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + t^3.97 + 4*t^4.06 + t^4.16 + t^4.25 + 3*t^4.5 + 3*t^4.59 + 6*t^4.94 + t^5.03 + t^5.13 + 5*t^5.47 + 3*t^5.56 + t^5.66 + 4*t^5.91 - t^6. + 3*t^6.09 + 4*t^6.19 + t^6.28 + t^6.38 + 3*t^6.44 + 9*t^6.53 + 3*t^6.63 + 3*t^6.72 + 2*t^6.87 + 5*t^6.97 + 7*t^7.06 + t^7.16 + t^7.25 + 8*t^7.41 + 4*t^7.5 + 5*t^7.59 + 3*t^7.69 + t^7.78 + 7*t^7.94 + 2*t^8.03 + 6*t^8.13 + 3*t^8.22 + 4*t^8.31 + 6*t^8.37 + t^8.41 - 6*t^8.47 + t^8.5 + 6*t^8.56 + 9*t^8.66 + 3*t^8.75 + 3*t^8.85 + 6*t^8.91 - t^4.5/y - t^6.53/y - t^6.63/y - t^6.97/y + t^7.06/y + t^7.16/y + (3*t^7.5)/y + (3*t^7.59)/y + (2*t^7.94)/y + (2*t^8.03)/y + t^8.13/y + t^8.37/y + (6*t^8.47)/y + (2*t^8.56)/y - t^8.75/y + (6*t^8.91)/y - t^4.5*y - t^6.53*y - t^6.63*y - t^6.97*y + t^7.06*y + t^7.16*y + 3*t^7.5*y + 3*t^7.59*y + 2*t^7.94*y + 2*t^8.03*y + t^8.13*y + t^8.37*y + 6*t^8.47*y + 2*t^8.56*y - t^8.75*y + 6*t^8.91*y | t^2.03/g1 + t^2.13/g1^4 + 3*g1*t^2.47 + t^3. + 2*g1^2*t^3.44 + t^3.53/g1 + g1*t^3.97 + (4*t^4.06)/g1^2 + t^4.16/g1^5 + t^4.25/g1^8 + 3*t^4.5 + (3*t^4.59)/g1^3 + 6*g1^2*t^4.94 + t^5.03/g1 + t^5.13/g1^4 + 5*g1*t^5.47 + (3*t^5.56)/g1^2 + t^5.66/g1^5 + 4*g1^3*t^5.91 - t^6. + (3*t^6.09)/g1^3 + (4*t^6.19)/g1^6 + t^6.28/g1^9 + t^6.38/g1^12 + 3*g1^2*t^6.44 + (9*t^6.53)/g1 + (3*t^6.63)/g1^4 + (3*t^6.72)/g1^7 + 2*g1^4*t^6.87 + 5*g1*t^6.97 + (7*t^7.06)/g1^2 + t^7.16/g1^5 + t^7.25/g1^8 + 8*g1^3*t^7.41 + 4*t^7.5 + (5*t^7.59)/g1^3 + (3*t^7.69)/g1^6 + t^7.78/g1^9 + 7*g1^2*t^7.94 + (2*t^8.03)/g1 + (6*t^8.13)/g1^4 + (3*t^8.22)/g1^7 + (4*t^8.31)/g1^10 + 6*g1^4*t^8.37 + t^8.41/g1^13 - 6*g1*t^8.47 + t^8.5/g1^16 + (6*t^8.56)/g1^2 + (9*t^8.66)/g1^5 + (3*t^8.75)/g1^8 + (3*t^8.85)/g1^11 + 6*g1^3*t^8.91 - t^4.5/y - t^6.53/(g1*y) - t^6.63/(g1^4*y) - (g1*t^6.97)/y + t^7.06/(g1^2*y) + t^7.16/(g1^5*y) + (3*t^7.5)/y + (3*t^7.59)/(g1^3*y) + (2*g1^2*t^7.94)/y + (2*t^8.03)/(g1*y) + t^8.13/(g1^4*y) + (g1^4*t^8.37)/y + (6*g1*t^8.47)/y + (2*t^8.56)/(g1^2*y) - t^8.75/(g1^8*y) + (6*g1^3*t^8.91)/y - t^4.5*y - (t^6.53*y)/g1 - (t^6.63*y)/g1^4 - g1*t^6.97*y + (t^7.06*y)/g1^2 + (t^7.16*y)/g1^5 + 3*t^7.5*y + (3*t^7.59*y)/g1^3 + 2*g1^2*t^7.94*y + (2*t^8.03*y)/g1 + (t^8.13*y)/g1^4 + g1^4*t^8.37*y + 6*g1*t^8.47*y + (2*t^8.56*y)/g1^2 - (t^8.75*y)/g1^8 + 6*g1^3*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 |
|---|---|---|---|---|---|---|---|---|
| 2761 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6868 | 0.8943 | 0.768 | [X:[], M:[1.139, 0.7221, 0.6805, 0.8195, 0.8195], q:[0.75, 0.4305], qb:[0.4305, 0.389], phi:[0.5]] | t^2.04 + t^2.17 + 4*t^2.46 + t^3. + 2*t^3.42 + t^3.96 + 4*t^4.08 + t^4.21 + t^4.33 + 4*t^4.5 + 4*t^4.62 + 10*t^4.92 + t^5.04 + t^5.17 + 6*t^5.46 + 2*t^5.58 + 6*t^5.88 - 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 253 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6567 | 0.8429 | 0.7791 | [X:[], M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]] | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 4*t^4.04 + t^4.11 + t^4.17 + 2*t^4.5 + 2*t^4.56 + 3*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + 2*t^5.61 + 2*t^5.94 - t^4.5/y - t^4.5*y | detail |