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 |
|---|---|---|---|---|---|---|---|---|---|
| 867 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ | 0.6175 | 0.7947 | 0.7771 | [X:[], M:[1.0, 0.8344, 0.707, 0.7516, 1.1656], q:[0.7707, 0.2293], qb:[0.6051, 0.5605], phi:[0.4586]] | [X:[], M:[[0], [-8], [10], [-12], [8]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_4M_5$, $ M_1\phi_1^2$ | . | -2 | t^2.12 + t^2.25 + t^2.37 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.99 + t^4.13 + t^4.24 + t^4.38 + t^4.49 + t^4.51 + 2*t^4.62 + 2*t^4.74 + t^4.76 + 3*t^4.87 + 3*t^5.01 + 3*t^5.12 + 3*t^5.25 + t^5.37 + 4*t^5.5 + t^5.62 + 2*t^5.75 - 2*t^6. + t^6.11 - t^6.13 + 2*t^6.25 + 2*t^6.36 + 2*t^6.5 + t^6.61 + t^6.63 + 2*t^6.75 + t^6.76 + 2*t^6.86 + 2*t^6.88 + 5*t^6.99 + t^7.01 + 2*t^7.11 + 3*t^7.13 + 3*t^7.24 + 3*t^7.26 + 3*t^7.38 + 5*t^7.49 + 3*t^7.51 + 5*t^7.62 + 2*t^7.74 + 5*t^7.76 + 4*t^7.87 + 5*t^8.01 - t^8.12 + 2*t^8.24 + 2*t^8.25 - t^8.37 - t^8.39 + 2*t^8.48 - t^8.5 + 3*t^8.73 - 6*t^8.75 + 3*t^8.87 - t^8.89 + 2*t^8.98 - t^4.38/y - t^6.5/y - t^6.63/y - t^7.13/y + t^7.38/y + t^7.49/y + (3*t^7.62)/y + t^7.76/y + (3*t^7.87)/y + (2*t^8.01)/y + (4*t^8.12)/y + (4*t^8.25)/y + t^8.37/y + (2*t^8.5)/y + (2*t^8.75)/y + t^8.87/y - t^8.89/y - t^4.38*y - t^6.5*y - t^6.63*y - t^7.13*y + t^7.38*y + t^7.49*y + 3*t^7.62*y + t^7.76*y + 3*t^7.87*y + 2*t^8.01*y + 4*t^8.12*y + 4*t^8.25*y + t^8.37*y + 2*t^8.5*y + 2*t^8.75*y + t^8.87*y - t^8.89*y | g1^10*t^2.12 + t^2.25/g1^12 + g1^14*t^2.37 + t^2.5/g1^8 + (2*t^2.75)/g1^4 + t^3. + g1^8*t^3.5 + g1^16*t^3.99 + t^4.13/g1^6 + g1^20*t^4.24 + t^4.38/g1^2 + g1^24*t^4.49 + t^4.51/g1^24 + 2*g1^2*t^4.62 + 2*g1^28*t^4.74 + t^4.76/g1^20 + 3*g1^6*t^4.87 + (3*t^5.01)/g1^16 + 3*g1^10*t^5.12 + (3*t^5.25)/g1^12 + g1^14*t^5.37 + (4*t^5.5)/g1^8 + g1^18*t^5.62 + (2*t^5.75)/g1^4 - 2*t^6. + g1^26*t^6.11 - t^6.13/g1^22 + 2*g1^4*t^6.25 + 2*g1^30*t^6.36 + 2*g1^8*t^6.5 + g1^34*t^6.61 + t^6.63/g1^14 + 2*g1^12*t^6.75 + t^6.76/g1^36 + 2*g1^38*t^6.86 + (2*t^6.88)/g1^10 + 5*g1^16*t^6.99 + t^7.01/g1^32 + 2*g1^42*t^7.11 + (3*t^7.13)/g1^6 + 3*g1^20*t^7.24 + (3*t^7.26)/g1^28 + (3*t^7.38)/g1^2 + 5*g1^24*t^7.49 + (3*t^7.51)/g1^24 + 5*g1^2*t^7.62 + 2*g1^28*t^7.74 + (5*t^7.76)/g1^20 + 4*g1^6*t^7.87 + (5*t^8.01)/g1^16 - g1^10*t^8.12 + 2*g1^36*t^8.24 + (2*t^8.25)/g1^12 - g1^14*t^8.37 - t^8.39/g1^34 + 2*g1^40*t^8.48 - t^8.5/g1^8 + 3*g1^44*t^8.73 - (6*t^8.75)/g1^4 + 3*g1^22*t^8.87 - t^8.89/g1^26 + 2*g1^48*t^8.98 - t^4.38/(g1^2*y) - (g1^8*t^6.5)/y - t^6.63/(g1^14*y) - t^7.13/(g1^6*y) + t^7.38/(g1^2*y) + (g1^24*t^7.49)/y + (3*g1^2*t^7.62)/y + t^7.76/(g1^20*y) + (3*g1^6*t^7.87)/y + (2*t^8.01)/(g1^16*y) + (4*g1^10*t^8.12)/y + (4*t^8.25)/(g1^12*y) + (g1^14*t^8.37)/y + (2*t^8.5)/(g1^8*y) + (2*t^8.75)/(g1^4*y) + (g1^22*t^8.87)/y - t^8.89/(g1^26*y) - (t^4.38*y)/g1^2 - g1^8*t^6.5*y - (t^6.63*y)/g1^14 - (t^7.13*y)/g1^6 + (t^7.38*y)/g1^2 + g1^24*t^7.49*y + 3*g1^2*t^7.62*y + (t^7.76*y)/g1^20 + 3*g1^6*t^7.87*y + (2*t^8.01*y)/g1^16 + 4*g1^10*t^8.12*y + (4*t^8.25*y)/g1^12 + g1^14*t^8.37*y + (2*t^8.5*y)/g1^8 + (2*t^8.75*y)/g1^4 + g1^22*t^8.87*y - (t^8.89*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1359 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ | 0.5972 | 0.7561 | 0.7898 | [X:[], M:[1.0, 0.8308, 0.7115, 0.7462, 1.1692, 1.2885], q:[0.7712, 0.2288], qb:[0.6019, 0.5673], phi:[0.4577]] | t^2.24 + t^2.39 + t^2.49 + 2*t^2.75 + t^3. + t^3.51 + t^3.87 + t^4.02 + t^4.12 + t^4.48 + t^4.63 + t^4.73 + 2*t^4.78 + t^4.88 + 3*t^4.98 + 2*t^5.13 + 3*t^5.24 + t^5.39 + 4*t^5.49 + 2*t^5.75 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 1360 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.5988 | 0.7618 | 0.7861 | [X:[], M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2052 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6384 | 0.8362 | 0.7634 | [X:[], M:[1.0, 0.8342, 0.7073, 0.7513, 1.1658, 0.6684], q:[0.7707, 0.2293], qb:[0.6049, 0.5609], phi:[0.4585]] | t^2.01 + t^2.12 + t^2.25 + t^2.37 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^4.01 + 2*t^4.13 + t^4.24 + t^4.26 + 2*t^4.38 + t^4.49 + 2*t^4.51 + 2*t^4.62 + 2*t^4.74 + 3*t^4.76 + 3*t^4.87 + 4*t^5.01 + 3*t^5.12 + 3*t^5.25 + t^5.37 + 5*t^5.5 + t^5.62 + 2*t^5.75 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 550 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6253 | 0.8097 | 0.7722 | [X:[], M:[1.0, 0.9511, 0.7439, 0.7439, 1.0489], q:[0.7561, 0.2439], qb:[0.5244, 0.5244], phi:[0.4878]] | 2*t^2.23 + 2*t^2.3 + 2*t^2.93 + t^3. + t^3.15 + 2*t^3.84 + 3*t^4.46 + 4*t^4.54 + 6*t^4.61 + 2*t^5.16 + 6*t^5.23 + 2*t^5.3 + 2*t^5.38 + 2*t^5.45 + 3*t^5.85 + t^5.93 - 5*t^6. - t^4.46/y - t^4.46*y | detail |