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 |
|---|---|---|---|---|---|---|---|---|---|
| 2878 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6751 | 0.8593 | 0.7856 | [X:[], M:[0.7632, 0.8553, 0.671, 1.1447, 0.7632, 0.7632], q:[0.7632, 0.4737], qb:[0.3816, 0.8553], phi:[0.3816]] | [X:[], M:[[-2], [3], [-7], [-3], [-2], [-2]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_1M_3$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $M_3\phi_1q_2^2$, $ M_2\phi_1\tilde{q}_1^2$ | -2 | t^2.01 + 4*t^2.29 + t^2.57 + 2*t^3.43 + t^3.99 + t^4.03 + 4*t^4.3 + 11*t^4.58 + 5*t^4.86 + t^5.13 + 2*t^5.45 + 6*t^5.72 - 2*t^6. + t^6.04 + 2*t^6.28 + 4*t^6.32 + t^6.55 + 11*t^6.59 + 26*t^6.87 + 9*t^7.14 + 2*t^7.46 - t^7.7 + 6*t^7.74 + t^7.97 + 10*t^8.01 + t^8.05 - 11*t^8.29 + 4*t^8.33 - 4*t^8.57 + 11*t^8.61 + t^8.84 + 26*t^8.88 - t^4.14/y - t^6.16/y - (4*t^6.43)/y + (4*t^7.3)/y + (7*t^7.58)/y + (8*t^7.86)/y + t^8.13/y - t^8.17/y - (2*t^8.45)/y - (2*t^8.72)/y - t^4.14*y - t^6.16*y - 4*t^6.43*y + 4*t^7.3*y + 7*t^7.58*y + 8*t^7.86*y + t^8.13*y - t^8.17*y - 2*t^8.45*y - 2*t^8.72*y | t^2.01/g1^7 + (4*t^2.29)/g1^2 + g1^3*t^2.57 + (2*t^3.43)/g1^3 + g1^7*t^3.99 + t^4.03/g1^14 + (4*t^4.3)/g1^9 + (11*t^4.58)/g1^4 + 5*g1*t^4.86 + g1^6*t^5.13 + (2*t^5.45)/g1^10 + (6*t^5.72)/g1^5 - 2*t^6. + t^6.04/g1^21 + 2*g1^5*t^6.28 + (4*t^6.32)/g1^16 + g1^10*t^6.55 + (11*t^6.59)/g1^11 + (26*t^6.87)/g1^6 + (9*t^7.14)/g1 + (2*t^7.46)/g1^17 - g1^9*t^7.7 + (6*t^7.74)/g1^12 + g1^14*t^7.97 + (10*t^8.01)/g1^7 + t^8.05/g1^28 - (11*t^8.29)/g1^2 + (4*t^8.33)/g1^23 - 4*g1^3*t^8.57 + (11*t^8.61)/g1^18 + g1^8*t^8.84 + (26*t^8.88)/g1^13 - t^4.14/(g1*y) - t^6.16/(g1^8*y) - (4*t^6.43)/(g1^3*y) + (4*t^7.3)/(g1^9*y) + (7*t^7.58)/(g1^4*y) + (8*g1*t^7.86)/y + (g1^6*t^8.13)/y - t^8.17/(g1^15*y) - (2*t^8.45)/(g1^10*y) - (2*t^8.72)/(g1^5*y) - (t^4.14*y)/g1 - (t^6.16*y)/g1^8 - (4*t^6.43*y)/g1^3 + (4*t^7.3*y)/g1^9 + (7*t^7.58*y)/g1^4 + 8*g1*t^7.86*y + g1^6*t^8.13*y - (t^8.17*y)/g1^15 - (2*t^8.45*y)/g1^10 - (2*t^8.72*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3442 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ | 0.6881 | 0.8804 | 0.7816 | [X:[], M:[0.7692, 0.8461, 0.6924, 1.1539, 0.7692, 0.7692, 0.8461], q:[0.7692, 0.4615], qb:[0.3846, 0.8461], phi:[0.3846]] | t^2.08 + 4*t^2.31 + 2*t^2.54 + t^3.46 + t^3.92 + t^4.15 + 4*t^4.38 + 12*t^4.62 + 9*t^4.85 + 3*t^5.08 + t^5.54 + 2*t^5.77 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3443 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6959 | 0.9008 | 0.7725 | [X:[], M:[0.7628, 0.8558, 0.6699, 1.1442, 0.7628, 0.7628, 0.6699], q:[0.7628, 0.4744], qb:[0.3814, 0.8558], phi:[0.3814]] | 2*t^2.01 + 4*t^2.29 + t^2.57 + 2*t^3.43 + 3*t^4.02 + 8*t^4.3 + 12*t^4.58 + 5*t^4.86 + t^5.13 + 4*t^5.44 + 6*t^5.72 - 3*t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1867 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ | 0.6567 | 0.8256 | 0.7954 | [X:[], M:[0.7658, 0.8514, 0.6801, 1.1486, 0.7658], q:[0.7658, 0.4685], qb:[0.3829, 0.8514], phi:[0.3829]] | t^2.04 + 3*t^2.3 + t^2.55 + 2*t^3.45 + t^3.7 + t^3.96 + t^4.08 + 3*t^4.34 + 7*t^4.59 + 4*t^4.85 + t^5.11 + 2*t^5.49 + 5*t^5.74 + t^6. - t^4.15/y - t^4.15*y | detail |