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 |
|---|---|---|---|---|---|---|---|---|---|
| 46049 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.614 | 0.7856 | 0.7817 | [X:[], M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]] | [X:[], M:[[0, 0], [-8, -8], [-5, 3]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$ | . | -3 | t^2.17 + t^2.36 + t^2.42 + t^2.63 + 2*t^2.81 + t^3. + t^3.77 + t^3.95 + t^4.01 + t^4.35 + t^4.53 + t^4.59 + 2*t^4.72 + 2*t^4.78 + t^4.8 + 2*t^4.84 + 2*t^4.99 + 3*t^5.17 + 2*t^5.23 + t^5.25 + t^5.36 + t^5.42 + 2*t^5.44 + 4*t^5.63 + t^5.81 - 3*t^6. - t^6.06 + 2*t^6.13 + t^6.19 + t^6.31 + t^6.37 + t^6.43 - t^6.45 + t^6.52 + 2*t^6.58 + t^6.71 + 2*t^6.77 + 2*t^6.89 + t^6.95 + t^6.97 + t^7.01 + 2*t^7.08 + 2*t^7.14 + 2*t^7.16 + 2*t^7.2 + 2*t^7.26 + 3*t^7.35 + t^7.43 + 5*t^7.53 + 2*t^7.59 + 2*t^7.61 + 3*t^7.65 + 2*t^7.72 + t^7.78 + 4*t^7.8 + t^7.84 + t^7.88 + 4*t^7.99 + 3*t^8.05 + 2*t^8.07 - 2*t^8.17 + 4*t^8.25 + t^8.3 - 4*t^8.36 - 5*t^8.42 + 5*t^8.44 - t^8.48 + 3*t^8.49 - 2*t^8.63 + 2*t^8.67 + t^8.69 + 2*t^8.73 + 2*t^8.79 - 8*t^8.81 + 2*t^8.85 - 2*t^8.87 + t^8.88 + 3*t^8.94 - t^4.41/y - t^6.58/y - t^7.03/y - t^7.22/y + t^7.53/y + (2*t^7.59)/y + (2*t^7.78)/y + t^7.8/y + (3*t^7.99)/y + t^8.05/y + (3*t^8.17)/y + (3*t^8.23)/y + t^8.36/y + t^8.42/y + (2*t^8.44)/y + (2*t^8.63)/y - t^8.75/y + (2*t^8.81)/y + t^8.94/y - t^4.41*y - t^6.58*y - t^7.03*y - t^7.22*y + t^7.53*y + 2*t^7.59*y + 2*t^7.78*y + t^7.8*y + 3*t^7.99*y + t^8.05*y + 3*t^8.17*y + 3*t^8.23*y + t^8.36*y + t^8.42*y + 2*t^8.44*y + 2*t^8.63*y - t^8.75*y + 2*t^8.81*y + t^8.94*y | (g2^3*t^2.17)/g1^5 + (g2^7*t^2.36)/g1 + (g1^7*t^2.42)/g2 + t^2.63/(g1^8*g2^8) + (2*t^2.81)/(g1^4*g2^4) + t^3. + (g2^5*t^3.77)/g1^3 + g1*g2^9*t^3.95 + g1^9*g2*t^4.01 + (g2^6*t^4.35)/g1^10 + (g2^10*t^4.53)/g1^6 + g1^2*g2^2*t^4.59 + (2*g2^14*t^4.72)/g1^2 + 2*g1^6*g2^6*t^4.78 + t^4.8/(g1^13*g2^5) + (2*g1^14*t^4.84)/g2^2 + (2*t^4.99)/(g1^9*g2) + (3*g2^3*t^5.17)/g1^5 + (2*g1^3*t^5.23)/g2^5 + t^5.25/(g1^16*g2^16) + (g2^7*t^5.36)/g1 + (g1^7*t^5.42)/g2 + (2*t^5.44)/(g1^12*g2^12) + (4*t^5.63)/(g1^8*g2^8) + t^5.81/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.06)/g2^8 + (2*g2^12*t^6.13)/g1^4 + g1^4*g2^4*t^6.19 + g2^16*t^6.31 + g1^8*g2^8*t^6.37 + g1^16*t^6.43 - t^6.45/(g1^3*g2^11) + (g2^9*t^6.52)/g1^15 + (2*g2*t^6.58)/g1^7 + (g2^13*t^6.71)/g1^11 + (2*g2^5*t^6.77)/g1^3 + (2*g2^17*t^6.89)/g1^7 + g1*g2^9*t^6.95 + t^6.97/(g1^18*g2^2) + g1^9*g2*t^7.01 + (2*g2^21*t^7.08)/g1^3 + 2*g1^5*g2^13*t^7.14 + (2*g2^2*t^7.16)/g1^14 + 2*g1^13*g2^5*t^7.2 + (2*g1^21*t^7.26)/g2^3 + (3*g2^6*t^7.35)/g1^10 + t^7.43/(g1^21*g2^13) + (5*g2^10*t^7.53)/g1^6 + 2*g1^2*g2^2*t^7.59 + (2*t^7.61)/(g1^17*g2^9) + (3*g1^10*t^7.65)/g2^6 + (2*g2^14*t^7.72)/g1^2 + g1^6*g2^6*t^7.78 + (4*t^7.8)/(g1^13*g2^5) + (g1^14*t^7.84)/g2^2 + t^7.88/(g1^24*g2^24) + (4*t^7.99)/(g1^9*g2) + (3*t^8.05)/(g1*g2^9) + (2*t^8.07)/(g1^20*g2^20) - (2*g2^3*t^8.17)/g1^5 + (4*t^8.25)/(g1^16*g2^16) + (g2^15*t^8.3)/g1^9 - (4*g2^7*t^8.36)/g1 - (5*g1^7*t^8.42)/g2 + (5*t^8.44)/(g1^12*g2^12) - (g1^15*t^8.48)/g2^9 + (3*g2^19*t^8.49)/g1^5 - (2*t^8.63)/(g1^8*g2^8) + (2*g2^23*t^8.67)/g1 + (g2^12*t^8.69)/g1^20 + 2*g1^7*g2^15*t^8.73 + 2*g1^15*g2^7*t^8.79 - (8*t^8.81)/(g1^4*g2^4) + (2*g1^23*t^8.85)/g2 - (2*g1^4*t^8.87)/g2^12 + (g2^16*t^8.88)/g1^16 + (3*g2^8*t^8.94)/g1^8 - t^4.41/(g1^2*g2^2*y) - (g2*t^6.58)/(g1^7*y) - t^7.03/(g1^10*g2^10*y) - t^7.22/(g1^6*g2^6*y) + (g2^10*t^7.53)/(g1^6*y) + (2*g1^2*g2^2*t^7.59)/y + (2*g1^6*g2^6*t^7.78)/y + t^7.8/(g1^13*g2^5*y) + (3*t^7.99)/(g1^9*g2*y) + t^8.05/(g1*g2^9*y) + (3*g2^3*t^8.17)/(g1^5*y) + (3*g1^3*t^8.23)/(g2^5*y) + (g2^7*t^8.36)/(g1*y) + (g1^7*t^8.42)/(g2*y) + (2*t^8.44)/(g1^12*g2^12*y) + (2*t^8.63)/(g1^8*g2^8*y) - (g2^4*t^8.75)/(g1^12*y) + (2*t^8.81)/(g1^4*g2^4*y) + (g2^8*t^8.94)/(g1^8*y) - (t^4.41*y)/(g1^2*g2^2) - (g2*t^6.58*y)/g1^7 - (t^7.03*y)/(g1^10*g2^10) - (t^7.22*y)/(g1^6*g2^6) + (g2^10*t^7.53*y)/g1^6 + 2*g1^2*g2^2*t^7.59*y + 2*g1^6*g2^6*t^7.78*y + (t^7.8*y)/(g1^13*g2^5) + (3*t^7.99*y)/(g1^9*g2) + (t^8.05*y)/(g1*g2^9) + (3*g2^3*t^8.17*y)/g1^5 + (3*g1^3*t^8.23*y)/g2^5 + (g2^7*t^8.36*y)/g1 + (g1^7*t^8.42*y)/g2 + (2*t^8.44*y)/(g1^12*g2^12) + (2*t^8.63*y)/(g1^8*g2^8) - (g2^4*t^8.75*y)/g1^12 + (2*t^8.81*y)/(g1^4*g2^4) + (g2^8*t^8.94*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46298 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6335 | 0.821 | 0.7716 | [X:[], M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]] | 2*t^2.2 + 2*t^2.39 + t^2.61 + 2*t^2.81 + t^3. + 2*t^3.99 + 3*t^4.4 + 4*t^4.6 + 6*t^4.79 + 2*t^4.82 + 4*t^5.01 + 6*t^5.2 + t^5.23 + 2*t^5.39 + 2*t^5.42 + 4*t^5.61 + t^5.81 - 5*t^6. - t^4.4/y - t^4.4*y | detail | |
| 46316 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ | 0.6092 | 0.7784 | 0.7826 | [X:[], M:[1.0, 0.9152, 0.7291, 1.0424], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.19 + t^2.31 + t^2.38 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^3.94 + t^4.37 + t^4.5 + t^4.56 + 2*t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.93 + t^5.06 + 2*t^5.19 + t^5.25 + 2*t^5.31 + t^5.38 + t^5.44 + t^5.49 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 46184 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ | 0.5658 | 0.7265 | 0.7788 | [X:[], M:[1.0, 0.7154, 0.8577], q:[0.7856, 0.2144], qb:[0.499, 0.7856], phi:[0.4289]] | t^2.14 + t^2.15 + 3*t^2.57 + 2*t^3. + t^3.85 + 2*t^4.28 + 2*t^4.29 + 4*t^4.71 + 3*t^4.72 + 2*t^5.14 + 7*t^5.15 + 4*t^5.57 + t^5.99 - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45924 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.5943 | 0.7486 | 0.7938 | [X:[], M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.39 + t^2.64 + 2*t^2.82 + t^3. + 2*t^3.8 + 2*t^3.98 + 6*t^4.77 + 4*t^5.2 + t^5.27 + 2*t^5.39 + 2*t^5.45 + 4*t^5.64 + t^5.82 - 5*t^6. - t^4.41/y - t^4.41*y | detail |