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 |
|---|---|---|---|---|---|---|---|---|---|
| 3377 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6342 | 0.7831 | 0.8099 | [X:[1.6118], M:[0.8354, 0.7174, 1.1646, 0.3882, 0.8354, 0.7243, 1.2826], q:[0.3916, 0.773], qb:[0.4437, 0.8388], phi:[0.3882]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [2, -13], [0, 7]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_7$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.17 + t^2.33 + 2*t^2.51 + t^3.51 + t^3.65 + t^3.67 + t^3.69 + t^3.85 + t^4.35 + t^4.5 + t^4.66 + 2*t^4.68 + 3*t^4.84 + 3*t^5.01 + t^5.69 + t^5.84 + t^5.86 - 2*t^6. + 3*t^6.02 + t^6.16 + 2*t^6.18 + 2*t^6.2 + 2*t^6.35 + t^6.52 + t^6.68 + t^6.83 + 2*t^6.85 + 2*t^7.01 + t^7.03 - t^7.14 + t^7.16 + 2*t^7.19 + t^7.21 + t^7.3 - t^7.32 + 3*t^7.34 + t^7.36 + t^7.38 + 4*t^7.52 + t^7.54 + t^7.7 + t^7.86 + t^8.02 + t^8.04 - t^8.15 - 2*t^8.17 + 3*t^8.19 - 3*t^8.33 + 2*t^8.35 + 2*t^8.37 - t^8.49 - 5*t^8.51 + 5*t^8.53 + 3*t^8.68 + t^8.69 + 3*t^8.7 + t^8.85 + 3*t^8.86 - t^4.16/y - t^6.34/y - t^6.49/y - t^6.67/y + t^7.5/y + t^7.66/y + (2*t^7.68)/y + (3*t^7.84)/y + t^7.99/y + t^8.01/y - t^8.51/y - t^8.67/y + t^8.69/y + t^8.84/y + t^8.86/y + t^8.98/y - t^4.16*y - t^6.34*y - t^6.49*y - t^6.67*y + t^7.5*y + t^7.66*y + 2*t^7.68*y + 3*t^7.84*y + t^7.99*y + t^8.01*y - t^8.51*y - t^8.67*y + t^8.69*y + t^8.84*y + t^8.86*y + t^8.98*y | (g1^2*t^2.17)/g2^13 + t^2.33/g2^2 + 2*g2^3*t^2.51 + (g1^2*t^3.51)/g2^9 + (g2^8*t^3.65)/g1^2 + g2^2*t^3.67 + (g1^2*t^3.69)/g2^4 + g2^7*t^3.85 + (g1^4*t^4.35)/g2^26 + (g1^2*t^4.5)/g2^15 + t^4.66/g2^4 + (2*g1^2*t^4.68)/g2^10 + 3*g2*t^4.84 + 3*g2^6*t^5.01 + (g1^4*t^5.69)/g2^22 + (g1^2*t^5.84)/g2^11 + (g1^4*t^5.86)/g2^17 - 2*t^6. + (3*g1^2*t^6.02)/g2^6 + (g2^11*t^6.16)/g1^2 + 2*g2^5*t^6.18 + (2*g1^2*t^6.2)/g2 + 2*g2^10*t^6.35 + (g1^6*t^6.52)/g2^39 + (g1^4*t^6.68)/g2^28 + (g1^2*t^6.83)/g2^17 + (2*g1^4*t^6.85)/g2^23 + (2*g1^2*t^7.01)/g2^12 + (g1^4*t^7.03)/g2^18 - (g2^5*t^7.14)/g1^2 + t^7.16/g2 + (2*g1^2*t^7.19)/g2^7 + (g1^4*t^7.21)/g2^13 + (g2^16*t^7.3)/g1^4 - (g2^10*t^7.32)/g1^2 + 3*g2^4*t^7.34 + (g1^2*t^7.36)/g2^2 + (g1^4*t^7.38)/g2^8 + 4*g2^9*t^7.52 + g1^2*g2^3*t^7.54 + g2^14*t^7.7 + (g1^6*t^7.86)/g2^35 + (g1^4*t^8.02)/g2^24 + (g1^6*t^8.04)/g2^30 - t^8.15/g2^7 - (2*g1^2*t^8.17)/g2^13 + (3*g1^4*t^8.19)/g2^19 - (3*t^8.33)/g2^2 + (2*g1^2*t^8.35)/g2^8 + (2*g1^4*t^8.37)/g2^14 - (g2^9*t^8.49)/g1^2 - 5*g2^3*t^8.51 + (5*g1^2*t^8.53)/g2^3 + 3*g2^8*t^8.68 + (g1^8*t^8.69)/g2^52 + 3*g1^2*g2^2*t^8.7 + (g1^6*t^8.85)/g2^41 + 3*g2^13*t^8.86 - t^4.16/(g2*y) - (g1^2*t^6.34)/(g2^14*y) - t^6.49/(g2^3*y) - (g2^2*t^6.67)/y + (g1^2*t^7.5)/(g2^15*y) + t^7.66/(g2^4*y) + (2*g1^2*t^7.68)/(g2^10*y) + (3*g2*t^7.84)/y + (g2^12*t^7.99)/(g1^2*y) + (g2^6*t^8.01)/y - (g1^4*t^8.51)/(g2^27*y) - (g1^2*t^8.67)/(g2^16*y) + (g1^4*t^8.69)/(g2^22*y) + (g1^2*t^8.84)/(g2^11*y) + (g1^4*t^8.86)/(g2^17*y) + (g2^6*t^8.98)/(g1^2*y) - (t^4.16*y)/g2 - (g1^2*t^6.34*y)/g2^14 - (t^6.49*y)/g2^3 - g2^2*t^6.67*y + (g1^2*t^7.5*y)/g2^15 + (t^7.66*y)/g2^4 + (2*g1^2*t^7.68*y)/g2^10 + 3*g2*t^7.84*y + (g2^12*t^7.99*y)/g1^2 + g2^6*t^8.01*y - (g1^4*t^8.51*y)/g2^27 - (g1^2*t^8.67*y)/g2^16 + (g1^4*t^8.69*y)/g2^22 + (g1^2*t^8.84*y)/g2^11 + (g1^4*t^8.86*y)/g2^17 + (g2^6*t^8.98*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3851 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_6q_1\tilde{q}_2$ | 0.6338 | 0.781 | 0.8115 | [X:[1.6128], M:[0.8383, 0.7107, 1.1617, 0.3872, 0.8383, 0.7426, 1.2893], q:[0.4032, 0.7585], qb:[0.4351, 0.8542], phi:[0.3872]] | t^2.23 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + t^3.77 + t^3.87 + t^4.46 + t^4.55 + t^4.65 + 2*t^4.74 + 3*t^4.84 + 3*t^5.03 + t^5.81 + t^5.9 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 3852 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_8\phi_1^2$ | 0.6165 | 0.7524 | 0.8195 | [X:[1.6094], M:[0.8283, 0.7339, 1.1717, 0.3906, 0.8283, 0.7323, 1.2661, 1.2189], q:[0.3897, 0.7819], qb:[0.4386, 0.8275], phi:[0.3906]] | t^2.2 + 2*t^2.48 + t^3.51 + t^3.65 + 3*t^3.66 + t^3.8 + t^4.39 + 2*t^4.68 + t^4.83 + 3*t^4.97 + t^5.71 + 2*t^5.85 - 2*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2831 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6546 | 0.8215 | 0.7969 | [X:[1.6145], M:[0.8434, 0.6986, 1.1566, 0.3855, 0.8434, 0.7153], q:[0.3939, 0.7627], qb:[0.4496, 0.8518], phi:[0.3855]] | t^2.1 + t^2.15 + t^2.31 + 2*t^2.53 + t^3.52 + t^3.64 + t^3.69 + t^3.74 + t^4.19 + t^4.24 + t^4.29 + t^4.41 + t^4.46 + 3*t^4.63 + 2*t^4.68 + 3*t^4.84 + 3*t^5.06 + t^5.62 + t^5.67 + t^5.73 + t^5.78 + 2*t^5.83 + t^5.88 - 2*t^6. - t^4.16/y - t^4.16*y | detail |