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 |
|---|---|---|---|---|---|---|---|---|---|
| 46157 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6466 | 0.8508 | 0.76 | [X:[], M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -3 | t^2.09 + t^2.14 + t^2.2 + t^2.3 + t^2.35 + 2*t^2.9 + t^3. + t^3.21 + t^3.75 + t^4.19 + t^4.24 + 2*t^4.29 + t^4.34 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.61 + 2*t^4.66 + 2*t^4.71 + 2*t^4.99 + 2*t^5.04 + 2*t^5.09 + 3*t^5.2 + 2*t^5.25 + 2*t^5.3 + 2*t^5.35 + t^5.41 + t^5.51 + t^5.56 + 3*t^5.79 + t^5.85 + 2*t^5.9 - 3*t^6. - t^6.05 + t^6.06 + 2*t^6.1 + t^6.28 + t^6.33 + t^6.38 + t^6.39 + t^6.42 + t^6.43 + t^6.44 + 3*t^6.49 + 2*t^6.54 + t^6.59 + 2*t^6.6 + t^6.64 + 3*t^6.65 + 3*t^6.7 + 4*t^6.75 + 2*t^6.8 + 2*t^6.81 + 2*t^6.85 + 2*t^6.91 + 3*t^6.96 + 2*t^7.01 + 2*t^7.06 + 2*t^7.09 + 2*t^7.13 + 2*t^7.18 + 2*t^7.19 + t^7.24 + 4*t^7.29 + 4*t^7.34 + 2*t^7.39 + 3*t^7.4 + t^7.45 + 6*t^7.5 + 3*t^7.55 + 3*t^7.6 + 3*t^7.61 + 2*t^7.66 + 2*t^7.71 - t^7.81 + 2*t^7.82 + 2*t^7.87 + 3*t^7.89 + 2*t^7.91 + 3*t^7.93 + t^7.94 + 3*t^7.99 - 2*t^8.14 + t^8.15 - t^8.19 + t^8.2 + 2*t^8.25 - 4*t^8.3 - 6*t^8.35 + 2*t^8.36 + t^8.38 - t^8.4 + t^8.41 + t^8.43 + t^8.46 + 2*t^8.48 + 2*t^8.53 + 2*t^8.58 + 2*t^8.59 + t^8.62 + t^8.63 + 2*t^8.64 + 7*t^8.69 + t^8.72 + 5*t^8.74 + t^8.77 + t^8.78 + 3*t^8.79 + 4*t^8.8 + t^8.84 + 3*t^8.85 - 2*t^8.9 + 3*t^8.95 + 2*t^8.99 - t^4.45/y - t^6.54/y - t^6.59/y - t^6.65/y + t^7.24/y + t^7.29/y + t^7.4/y + (2*t^7.45)/y + (2*t^7.5)/y + (2*t^7.55)/y + t^7.66/y + (2*t^7.99)/y + (2*t^8.04)/y + (3*t^8.09)/y + t^8.14/y + (3*t^8.2)/y + (3*t^8.25)/y + (3*t^8.3)/y + (3*t^8.35)/y + t^8.41/y + t^8.51/y + t^8.56/y - t^8.64/y - t^8.69/y - (2*t^8.74)/y + (3*t^8.9)/y + t^8.95/y - t^4.45*y - t^6.54*y - t^6.59*y - t^6.65*y + t^7.24*y + t^7.29*y + t^7.4*y + 2*t^7.45*y + 2*t^7.5*y + 2*t^7.55*y + t^7.66*y + 2*t^7.99*y + 2*t^8.04*y + 3*t^8.09*y + t^8.14*y + 3*t^8.2*y + 3*t^8.25*y + 3*t^8.3*y + 3*t^8.35*y + t^8.41*y + t^8.51*y + t^8.56*y - t^8.64*y - t^8.69*y - 2*t^8.74*y + 3*t^8.9*y + t^8.95*y | g1*g2^9*t^2.09 + (g2*t^2.14)/g1 + g1*g2^5*t^2.2 + g1*g2*t^2.3 + t^2.35/(g1*g2^7) + 2*g2^4*t^2.9 + t^3. + t^3.21/g2^8 + g1*g2^3*t^3.75 + g1^2*g2^18*t^4.19 + g2^10*t^4.24 + (g2^2*t^4.29)/g1^2 + g1^2*g2^14*t^4.29 + g2^6*t^4.34 + 2*g1^2*g2^10*t^4.4 + 2*g2^2*t^4.45 + t^4.5/(g1^2*g2^6) + g1^2*g2^6*t^4.5 + t^4.55/g2^2 + 2*g1^2*g2^2*t^4.61 + (2*t^4.66)/g2^6 + (2*t^4.71)/(g1^2*g2^14) + 2*g1*g2^13*t^4.99 + (2*g2^5*t^5.04)/g1 + 2*g1*g2^9*t^5.09 + 3*g1*g2^5*t^5.2 + (2*t^5.25)/(g1*g2^3) + 2*g1*g2*t^5.3 + (2*t^5.35)/(g1*g2^7) + (g1*t^5.41)/g2^3 + (g1*t^5.51)/g2^7 + t^5.56/(g1*g2^15) + 3*g2^8*t^5.79 + g1^2*g2^12*t^5.85 + 2*g2^4*t^5.9 - 3*t^6. - t^6.05/(g1^2*g2^8) + g1^2*g2^4*t^6.06 + (2*t^6.1)/g2^4 + g1^3*g2^27*t^6.28 + g1*g2^19*t^6.33 + (g2^11*t^6.38)/g1 + g1^3*g2^23*t^6.39 + t^6.42/g2^16 + (g2^3*t^6.43)/g1^3 + g1*g2^15*t^6.44 + (g2^7*t^6.49)/g1 + 2*g1^3*g2^19*t^6.49 + 2*g1*g2^11*t^6.54 + (g2^3*t^6.59)/g1 + 2*g1^3*g2^15*t^6.6 + t^6.64/(g1^3*g2^5) + 3*g1*g2^7*t^6.65 + 3*g1^3*g2^11*t^6.7 + 4*g1*g2^3*t^6.75 + (2*t^6.8)/(g1*g2^5) + 2*g1^3*g2^7*t^6.81 + (2*t^6.85)/(g1^3*g2^13) + 2*g1^3*g2^3*t^6.91 + (3*g1*t^6.96)/g2^5 + (2*t^7.01)/(g1*g2^13) + (2*t^7.06)/(g1^3*g2^21) + 2*g1^2*g2^22*t^7.09 + 2*g2^14*t^7.13 + (2*g2^6*t^7.18)/g1^2 + 2*g1^2*g2^18*t^7.19 + g2^10*t^7.24 + 4*g1^2*g2^14*t^7.29 + 4*g2^6*t^7.34 + (2*t^7.39)/(g1^2*g2^2) + 3*g1^2*g2^10*t^7.4 + g2^2*t^7.45 + 6*g1^2*g2^6*t^7.5 + (3*t^7.55)/g2^2 + (3*t^7.6)/(g1^2*g2^10) + 3*g1^2*g2^2*t^7.61 + (2*t^7.66)/g2^6 + (2*t^7.71)/(g1^2*g2^14) - t^7.81/(g1^2*g2^18) + (2*g1^2*t^7.82)/g2^6 + (2*t^7.87)/g2^14 + 3*g1*g2^17*t^7.89 + (2*t^7.91)/(g1^2*g2^22) + (3*g2^9*t^7.93)/g1 + g1^3*g2^21*t^7.94 + 3*g1*g2^13*t^7.99 - (2*g2*t^8.14)/g1 + g1^3*g2^13*t^8.15 - t^8.19/(g1^3*g2^7) + g1*g2^5*t^8.2 + (2*t^8.25)/(g1*g2^3) - 4*g1*g2*t^8.3 - (6*t^8.35)/(g1*g2^7) + 2*g1^3*g2^5*t^8.36 + g1^4*g2^36*t^8.38 - t^8.4/(g1^3*g2^15) + (g1*t^8.41)/g2^3 + g1^2*g2^28*t^8.43 + t^8.46/(g1*g2^11) + g2^20*t^8.48 + g1^4*g2^32*t^8.48 + (g2^12*t^8.53)/g1^2 + g1^2*g2^24*t^8.53 + (g2^4*t^8.58)/g1^4 + g2^16*t^8.58 + 2*g1^4*g2^28*t^8.59 + (g1*t^8.62)/g2^11 + (g2^8*t^8.63)/g1^2 + 2*g1^2*g2^20*t^8.64 + 5*g2^12*t^8.69 + 2*g1^4*g2^24*t^8.69 + (g1*t^8.72)/g2^15 + (g2^4*t^8.74)/g1^2 + 4*g1^2*g2^16*t^8.74 + t^8.77/(g1*g2^23) + t^8.78/(g1^4*g2^4) + 3*g2^8*t^8.79 + 4*g1^4*g2^20*t^8.8 + t^8.84/g1^2 + 3*g1^2*g2^12*t^8.85 - 5*g2^4*t^8.9 + 3*g1^4*g2^16*t^8.9 + 3*g1^2*g2^8*t^8.95 + (2*t^8.99)/(g1^4*g2^12) - (g2^2*t^4.45)/y - (g1*g2^11*t^6.54)/y - (g2^3*t^6.59)/(g1*y) - (g1*g2^7*t^6.65)/y + (g2^10*t^7.24)/y + (g1^2*g2^14*t^7.29)/y + (g1^2*g2^10*t^7.4)/y + (2*g2^2*t^7.45)/y + t^7.5/(g1^2*g2^6*y) + (g1^2*g2^6*t^7.5)/y + (2*t^7.55)/(g2^2*y) + t^7.66/(g2^6*y) + (2*g1*g2^13*t^7.99)/y + (2*g2^5*t^8.04)/(g1*y) + (3*g1*g2^9*t^8.09)/y + (g2*t^8.14)/(g1*y) + (3*g1*g2^5*t^8.2)/y + (3*t^8.25)/(g1*g2^3*y) + (3*g1*g2*t^8.3)/y + (3*t^8.35)/(g1*g2^7*y) + (g1*t^8.41)/(g2^3*y) + (g1*t^8.51)/(g2^7*y) + t^8.56/(g1*g2^15*y) - (g1^2*g2^20*t^8.64)/y - (g2^12*t^8.69)/y - (g2^4*t^8.74)/(g1^2*y) - (g1^2*g2^16*t^8.74)/y + (3*g2^4*t^8.9)/y + (g1^2*g2^8*t^8.95)/y - g2^2*t^4.45*y - g1*g2^11*t^6.54*y - (g2^3*t^6.59*y)/g1 - g1*g2^7*t^6.65*y + g2^10*t^7.24*y + g1^2*g2^14*t^7.29*y + g1^2*g2^10*t^7.4*y + 2*g2^2*t^7.45*y + (t^7.5*y)/(g1^2*g2^6) + g1^2*g2^6*t^7.5*y + (2*t^7.55*y)/g2^2 + (t^7.66*y)/g2^6 + 2*g1*g2^13*t^7.99*y + (2*g2^5*t^8.04*y)/g1 + 3*g1*g2^9*t^8.09*y + (g2*t^8.14*y)/g1 + 3*g1*g2^5*t^8.2*y + (3*t^8.25*y)/(g1*g2^3) + 3*g1*g2*t^8.3*y + (3*t^8.35*y)/(g1*g2^7) + (g1*t^8.41*y)/g2^3 + (g1*t^8.51*y)/g2^7 + (t^8.56*y)/(g1*g2^15) - g1^2*g2^20*t^8.64*y - g2^12*t^8.69*y - (g2^4*t^8.74*y)/g1^2 - g1^2*g2^16*t^8.74*y + 3*g2^4*t^8.9*y + g1^2*g2^8*t^8.95*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46407 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6659 | 0.8858 | 0.7517 | [X:[], M:[0.7042, 0.7042, 1.0, 0.7408, 0.7408], q:[0.7592, 0.5366], qb:[0.5366, 0.2408], phi:[0.4817]] | 2*t^2.11 + 2*t^2.22 + 2*t^2.33 + 2*t^2.89 + t^3. + t^3.22 + 3*t^4.23 + 4*t^4.34 + 7*t^4.45 + 4*t^4.55 + 6*t^4.66 + 4*t^5. + 4*t^5.11 + 6*t^5.22 + 4*t^5.33 + 2*t^5.44 + 2*t^5.55 + 3*t^5.78 + t^5.89 - 5*t^6. - t^4.45/y - t^4.45*y | detail | |
| 46578 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | t^2.16 + 2*t^2.21 + t^2.27 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + t^4.36 + t^4.37 + 4*t^4.42 + 2*t^4.47 + t^4.48 + t^4.52 + 3*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + t^5.15 + t^5.16 + 3*t^5.21 + 2*t^5.26 + 3*t^5.27 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 46729 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46026 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ | 0.6271 | 0.8146 | 0.7698 | [X:[], M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]] | 2*t^2.13 + 2*t^2.32 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.77 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.03 + 4*t^5.23 + 4*t^5.32 + 2*t^5.52 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail |