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 |
|---|---|---|---|---|---|---|---|---|---|
| 4406 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.6081 | 0.7796 | 0.7801 | [X:[], M:[1.0, 1.028, 0.9439, 1.257, 0.6869, 0.743, 1.3131, 0.7149], q:[0.243, 0.757], qb:[0.5, 0.5561], phi:[0.486]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [9], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ M_7$, $ M_8^2$, $ M_6M_8$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_8q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_8$, $ M_3M_6$, $ M_8\phi_1q_1^2$, $ M_1M_8$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_1M_3$, $ \phi_1^2q_1^4$, $ M_8\phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_4M_8$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.14 + t^2.23 + t^2.4 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.94 + t^4.29 + t^4.37 + 2*t^4.46 + t^4.54 + 2*t^4.63 + 2*t^4.79 + t^4.98 + t^5.06 + 2*t^5.14 + 2*t^5.23 + 2*t^5.31 + t^5.4 + t^5.48 + t^5.66 + t^5.75 + 2*t^5.83 + 3*t^5.92 - t^6. + 2*t^6.08 + t^6.17 + t^6.34 + t^6.43 + t^6.52 + 3*t^6.6 + 2*t^6.69 + 2*t^6.77 + 2*t^6.86 + t^6.94 + 3*t^7.02 + t^7.12 + 2*t^7.19 + t^7.21 + 2*t^7.29 + 4*t^7.37 + 2*t^7.46 + 2*t^7.54 + 2*t^7.63 + 3*t^7.71 + t^7.79 + t^7.81 + 2*t^7.88 + t^7.89 + 2*t^7.98 + 3*t^8.06 + t^8.14 + t^8.23 + t^8.31 - t^8.4 + t^8.48 + t^8.5 + 2*t^8.57 + 2*t^8.58 + 3*t^8.66 + 2*t^8.73 + 4*t^8.75 + t^8.83 + t^8.92 - t^4.46/y - t^6.6/y - t^7.29/y + t^7.37/y + t^7.54/y + (2*t^7.63)/y + t^7.98/y + (2*t^8.06)/y + (2*t^8.14)/y + (3*t^8.23)/y + (3*t^8.31)/y + t^8.4/y + t^8.48/y + (2*t^8.83)/y + (4*t^8.92)/y - t^4.46*y - t^6.6*y - t^7.29*y + t^7.37*y + t^7.54*y + 2*t^7.63*y + t^7.98*y + 2*t^8.06*y + 2*t^8.14*y + 3*t^8.23*y + 3*t^8.31*y + t^8.4*y + t^8.48*y + 2*t^8.83*y + 4*t^8.92*y | t^2.14/g1^5 + t^2.23/g1 + g1^7*t^2.4 + t^2.83/g1^8 + t^2.92/g1^4 + t^3. + g1^4*t^3.08 + t^3.69/g1^3 + g1*t^3.77 + g1^9*t^3.94 + t^4.29/g1^10 + t^4.37/g1^6 + (2*t^4.46)/g1^2 + g1^2*t^4.54 + 2*g1^6*t^4.63 + 2*g1^14*t^4.79 + t^4.98/g1^13 + t^5.06/g1^9 + (2*t^5.14)/g1^5 + (2*t^5.23)/g1 + 2*g1^3*t^5.31 + g1^7*t^5.4 + g1^11*t^5.48 + t^5.66/g1^16 + t^5.75/g1^12 + (2*t^5.83)/g1^8 + (3*t^5.92)/g1^4 - t^6. + 2*g1^4*t^6.08 + g1^8*t^6.17 + g1^16*t^6.34 + t^6.43/g1^15 + t^6.52/g1^11 + (3*t^6.6)/g1^7 + (2*t^6.69)/g1^3 + 2*g1*t^6.77 + 2*g1^5*t^6.86 + g1^9*t^6.94 + 3*g1^13*t^7.02 + t^7.12/g1^18 + 2*g1^21*t^7.19 + t^7.21/g1^14 + (2*t^7.29)/g1^10 + (4*t^7.37)/g1^6 + (2*t^7.46)/g1^2 + 2*g1^2*t^7.54 + 2*g1^6*t^7.63 + 3*g1^10*t^7.71 + g1^14*t^7.79 + t^7.81/g1^21 + 2*g1^18*t^7.88 + t^7.89/g1^17 + (2*t^7.98)/g1^13 + (3*t^8.06)/g1^9 + t^8.14/g1^5 + t^8.23/g1 + g1^3*t^8.31 - g1^7*t^8.4 + g1^11*t^8.48 + t^8.5/g1^24 + 2*g1^15*t^8.57 + (2*t^8.58)/g1^20 + (3*t^8.66)/g1^16 + 2*g1^23*t^8.73 + (4*t^8.75)/g1^12 + t^8.83/g1^8 + t^8.92/g1^4 - t^4.46/(g1^2*y) - t^6.6/(g1^7*y) - t^7.29/(g1^10*y) + t^7.37/(g1^6*y) + (g1^2*t^7.54)/y + (2*g1^6*t^7.63)/y + t^7.98/(g1^13*y) + (2*t^8.06)/(g1^9*y) + (2*t^8.14)/(g1^5*y) + (3*t^8.23)/(g1*y) + (3*g1^3*t^8.31)/y + (g1^7*t^8.4)/y + (g1^11*t^8.48)/y + (2*t^8.83)/(g1^8*y) + (4*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.6*y)/g1^7 - (t^7.29*y)/g1^10 + (t^7.37*y)/g1^6 + g1^2*t^7.54*y + 2*g1^6*t^7.63*y + (t^7.98*y)/g1^13 + (2*t^8.06*y)/g1^9 + (2*t^8.14*y)/g1^5 + (3*t^8.23*y)/g1 + 3*g1^3*t^8.31*y + g1^7*t^8.4*y + g1^11*t^8.48*y + (2*t^8.83*y)/g1^8 + (4*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5943 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1\tilde{q}_2$ + $ M_3M_9$ | 0.6051 | 0.7763 | 0.7795 | [X:[], M:[1.0, 1.0048, 0.9903, 1.2512, 0.7391, 0.7488, 1.2609, 0.744, 1.0097], q:[0.2488, 0.7512], qb:[0.5, 0.5097], phi:[0.4976]] | t^2.23 + t^2.25 + t^2.28 + t^2.99 + t^3. + t^3.01 + t^3.03 + t^3.74 + t^3.75 + t^3.78 + t^4.46 + t^4.48 + 2*t^4.49 + t^4.51 + 2*t^4.52 + 2*t^4.55 + 2*t^5.23 + t^5.25 + 3*t^5.26 + 2*t^5.28 + t^5.29 + t^5.3 + t^5.97 + 2*t^5.99 - t^6. - t^4.49/y - t^4.49*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2379 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |