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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_1M_4$, $ M_6\phi_1q_1^2$, $ M_4\phi_1q_1^2$, $ M_2^2$ | . | -2 | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*t^6. + t^6.04 + 2*t^6.08 + t^6.12 + t^6.44 + 2*t^6.48 + 2*t^6.52 + t^6.56 + t^6.6 + t^6.73 + t^6.77 + 2*t^6.87 + 3*t^6.91 + 4*t^6.95 + 3*t^6.98 + t^7.02 + t^7.16 + t^7.25 + 2*t^7.29 + t^7.31 + 3*t^7.33 + t^7.35 + 3*t^7.37 + 2*t^7.41 + t^7.45 - t^7.6 + t^7.64 + t^7.68 + 2*t^7.72 + t^7.74 + 3*t^7.76 + 2*t^7.77 + 2*t^7.79 + 2*t^7.81 + t^7.83 + t^7.85 + t^7.87 + t^7.89 - t^8.08 + t^8.1 - t^8.12 + 2*t^8.14 - 3*t^8.16 + t^8.18 - 2*t^8.2 + t^8.22 + 2*t^8.24 + 2*t^8.28 + t^8.32 + t^8.37 - t^8.51 + t^8.53 - 3*t^8.55 + t^8.57 - 2*t^8.59 + 2*t^8.6 - 2*t^8.62 + 3*t^8.64 + t^8.66 + 2*t^8.68 + 2*t^8.7 + 2*t^8.72 + t^8.74 + t^8.76 + t^8.8 + t^8.86 + t^8.91 - 3*t^8.97 - t^8.99 - t^4.29/y - t^6.45/y - t^6.49/y - t^6.88/y - t^6.92/y - t^7.26/y + t^7.32/y + t^7.36/y + t^7.67/y + (2*t^7.71)/y + (2*t^7.75)/y + (2*t^7.78)/y + t^7.82/y + t^8.09/y + (3*t^8.13)/y + (2*t^8.17)/y + t^8.21/y + t^8.52/y + t^8.56/y + t^8.6/y + t^8.65/y - t^4.29*y - t^6.45*y - t^6.49*y - t^6.88*y - t^6.92*y - t^7.26*y + t^7.32*y + t^7.36*y + t^7.67*y + 2*t^7.71*y + 2*t^7.75*y + 2*t^7.78*y + t^7.82*y + t^8.09*y + 3*t^8.13*y + 2*t^8.17*y + t^8.21*y + t^8.52*y + t^8.56*y + t^8.6*y + t^8.65*y | (g1*t^2.16)/g2^5 + (g1^2*t^2.2)/g2^16 + (g2^7*t^2.55)/g1 + t^2.59/g2^4 + (g1*t^2.62)/g2^15 + (g2^8*t^2.97)/g1^2 + (g1*t^3.45)/g2^7 + (g1^2*t^3.49)/g2^18 + (g2^28*t^4.19)/g1^4 + g1*g2*t^4.28 + (2*g1^2*t^4.32)/g2^10 + (g1^3*t^4.36)/g2^21 + (g1^4*t^4.4)/g2^32 + (g2^13*t^4.67)/g1 + g2^2*t^4.71 + (2*g1*t^4.75)/g2^9 + (2*g1^2*t^4.78)/g2^20 + (g1^3*t^4.82)/g2^31 + (g2^14*t^5.09)/g1^2 + (2*g2^3*t^5.13)/g1 + (g1^2*t^5.15)/g2^2 + (2*t^5.17)/g2^8 + (g1*t^5.21)/g2^19 + (g1^2*t^5.25)/g2^30 + (g2^4*t^5.56)/g1^2 + t^5.6/(g1*g2^7) + (g1^2*t^5.61)/g2^12 + (g1^3*t^5.65)/g2^23 + (g1^4*t^5.69)/g2^34 + (g2^16*t^5.94)/g1^4 - 2*t^6. + (g1*t^6.04)/g2^11 + (2*g1^2*t^6.08)/g2^22 + (g1^3*t^6.12)/g2^33 + (g1^2*t^6.44)/g2^4 + (2*g1^3*t^6.48)/g2^15 + (2*g1^4*t^6.52)/g2^26 + (g1^5*t^6.56)/g2^37 + (g1^6*t^6.6)/g2^48 + (g2^35*t^6.73)/g1^5 + (g2^24*t^6.77)/g1^4 + (2*g1*t^6.87)/g2^3 + (3*g1^2*t^6.91)/g2^14 + (4*g1^3*t^6.95)/g2^25 + (3*g1^4*t^6.98)/g2^36 + (g1^5*t^7.02)/g2^47 + (g2^36*t^7.16)/g1^6 + (g2^9*t^7.25)/g1 + (2*t^7.29)/g2^2 + (g1^3*t^7.31)/g2^7 + (3*g1*t^7.33)/g2^13 + (g1^4*t^7.35)/g2^18 + (3*g1^2*t^7.37)/g2^24 + (2*g1^3*t^7.41)/g2^35 + (g1^4*t^7.45)/g2^46 - (g2^32*t^7.6)/g1^4 + (g2^21*t^7.64)/g1^3 + (g2^10*t^7.68)/g1^2 + (2*t^7.72)/(g1*g2) + (g1^2*t^7.74)/g2^6 + (3*t^7.76)/g2^12 + (2*g1^3*t^7.77)/g2^17 + (2*g1*t^7.79)/g2^23 + (2*g1^4*t^7.81)/g2^28 + (g1^2*t^7.83)/g2^34 + (g1^5*t^7.85)/g2^39 + (g1^3*t^7.87)/g2^45 + (g1^6*t^7.89)/g2^50 - (g2^17*t^8.08)/g1 + (g2^11*t^8.1)/g1^3 - g2^6*t^8.12 + (2*t^8.14)/g1^2 - (3*g1*t^8.16)/g2^5 + t^8.18/(g1*g2^11) - (2*g1^2*t^8.2)/g2^16 + t^8.22/g2^22 + (2*g1^3*t^8.24)/g2^27 + (2*g1^4*t^8.28)/g2^38 + (g1^5*t^8.32)/g2^49 + (g2^56*t^8.37)/g1^8 - (g2^18*t^8.51)/g1^2 + (g2^12*t^8.53)/g1^4 - (3*g2^7*t^8.55)/g1 + (g2*t^8.57)/g1^3 - (2*t^8.59)/g2^4 + (2*g1^3*t^8.6)/g2^9 - (2*g1*t^8.62)/g2^15 + (3*g1^4*t^8.64)/g2^20 + (g1^2*t^8.66)/g2^26 + (2*g1^5*t^8.68)/g2^31 + (2*g1^3*t^8.7)/g2^37 + (2*g1^6*t^8.72)/g2^42 + (g1^4*t^8.74)/g2^48 + (g1^7*t^8.76)/g2^53 + (g1^8*t^8.8)/g2^64 + (g2^41*t^8.86)/g1^5 + (g2^24*t^8.91)/g1^6 - (3*g2^8*t^8.97)/g1^2 - g1*g2^3*t^8.99 - t^4.29/(g2^2*y) - (g1*t^6.45)/(g2^7*y) - (g1^2*t^6.49)/(g2^18*y) - t^6.88/(g2^6*y) - (g1*t^6.92)/(g2^17*y) - (g2^6*t^7.26)/(g1^2*y) + (g1^2*t^7.32)/(g2^10*y) + (g1^3*t^7.36)/(g2^21*y) + (g2^13*t^7.67)/(g1*y) + (2*g2^2*t^7.71)/y + (2*g1*t^7.75)/(g2^9*y) + (2*g1^2*t^7.78)/(g2^20*y) + (g1^3*t^7.82)/(g2^31*y) + (g2^14*t^8.09)/(g1^2*y) + (3*g2^3*t^8.13)/(g1*y) + (2*t^8.17)/(g2^8*y) + (g1*t^8.21)/(g2^19*y) + (g2^15*t^8.52)/(g1^3*y) + (g2^4*t^8.56)/(g1^2*y) + t^8.6/(g1*g2^7*y) + (g1^3*t^8.65)/(g2^23*y) - (t^4.29*y)/g2^2 - (g1*t^6.45*y)/g2^7 - (g1^2*t^6.49*y)/g2^18 - (t^6.88*y)/g2^6 - (g1*t^6.92*y)/g2^17 - (g2^6*t^7.26*y)/g1^2 + (g1^2*t^7.32*y)/g2^10 + (g1^3*t^7.36*y)/g2^21 + (g2^13*t^7.67*y)/g1 + 2*g2^2*t^7.71*y + (2*g1*t^7.75*y)/g2^9 + (2*g1^2*t^7.78*y)/g2^20 + (g1^3*t^7.82*y)/g2^31 + (g2^14*t^8.09*y)/g1^2 + (3*g2^3*t^8.13*y)/g1 + (2*t^8.17*y)/g2^8 + (g1*t^8.21*y)/g2^19 + (g2^15*t^8.52*y)/g1^3 + (g2^4*t^8.56*y)/g1^2 + (t^8.6*y)/(g1*g2^7) + (g1^3*t^8.65*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55012 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_4$ | 0.6808 | 0.8526 | 0.7985 | [X:[], M:[1.187, 0.9426, 0.813, 0.813, 0.9426, 0.7481], q:[0.4065, 0.4065], qb:[0.6509, 0.7806], phi:[0.4389]] | t^2.24 + 2*t^2.44 + t^2.63 + 2*t^2.83 + t^3.56 + 2*t^3.76 + t^4.29 + 3*t^4.49 + 2*t^4.68 + 4*t^4.88 + 4*t^5.07 + t^5.22 + 3*t^5.27 + 2*t^5.46 + 3*t^5.66 + t^5.81 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 55268 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_6$ | 0.6656 | 0.8379 | 0.7944 | [X:[], M:[1.2072, 0.829, 0.7928, 0.829, 0.8652, 0.7928], q:[0.4145, 0.3783], qb:[0.7566, 0.7928], phi:[0.4145]] | 2*t^2.38 + 3*t^2.49 + t^2.6 + t^3.51 + t^3.62 + t^3.73 + 2*t^4.65 + 4*t^4.76 + 5*t^4.87 + 7*t^4.97 + 3*t^5.08 + t^5.19 + t^5.78 + t^5.89 + t^6. - t^4.24/y - t^4.24*y | detail | |
| 55252 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.7032 | 0.8896 | 0.7905 | [X:[], M:[1.1567, 0.9794, 0.8433, 0.7444, 0.8806, 0.7258, 0.8433], q:[0.3722, 0.4711], qb:[0.6484, 0.7845], phi:[0.431]] | t^2.18 + t^2.23 + 2*t^2.53 + t^2.59 + t^2.64 + t^2.94 + t^3.53 + t^4.12 + t^4.3 + 2*t^4.35 + t^4.41 + t^4.47 + t^4.65 + 2*t^4.71 + 3*t^4.76 + 2*t^4.82 + t^4.87 + 3*t^5.06 + 3*t^5.12 + 3*t^5.17 + t^5.18 + t^5.23 + t^5.28 + t^5.47 + t^5.52 + t^5.58 + t^5.76 + t^5.88 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
| 51119 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ | 0.6704 | 0.8308 | 0.8069 | [X:[], M:[1.1573, 0.9835, 0.8427, 0.7473, 0.8881, 0.7246, 1.2527], q:[0.3736, 0.4691], qb:[0.6428, 0.7836], phi:[0.4327]] | t^2.17 + t^2.53 + t^2.6 + t^2.66 + t^2.95 + t^3.47 + t^3.54 + t^3.76 + t^4.11 + t^4.28 + 2*t^4.35 + t^4.63 + t^4.7 + t^4.77 + t^4.84 + t^5.06 + 2*t^5.12 + t^5.16 + t^5.19 + t^5.26 + t^5.33 + t^5.55 + t^5.61 + t^5.65 + t^5.9 + t^5.93 - 2*t^6. - t^4.3/y - t^4.3*y | detail | |
| 55099 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5\phi_1^2$ | 0.6693 | 0.8394 | 0.7974 | [X:[], M:[1.167, 1.0824, 0.833, 0.8062, 1.0557, 0.6949], q:[0.4031, 0.4299], qb:[0.5145, 0.7639], phi:[0.4722]] | t^2.08 + t^2.42 + t^2.5 + t^2.83 + t^3.17 + t^3.25 + t^3.5 + 2*t^3.84 + t^4. + 2*t^4.17 + t^4.25 + 2*t^4.5 + t^4.58 + t^4.84 + 2*t^4.92 + t^5. + 2*t^5.25 + 2*t^5.33 + 2*t^5.59 + 2*t^5.67 + 2*t^5.92 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 55210 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5^2$ | 0.6799 | 0.852 | 0.7981 | [X:[], M:[1.1652, 1.0457, 0.8348, 0.7891, 1.0, 0.7065], q:[0.3945, 0.4403], qb:[0.5597, 0.7706], phi:[0.4587]] | t^2.12 + t^2.37 + t^2.5 + t^2.75 + t^3. + t^3.14 + t^3.5 + t^3.74 + t^3.99 + t^4.02 + 2*t^4.24 + t^4.38 + t^4.49 + t^4.62 + 2*t^4.73 + 2*t^4.87 + t^5.01 + 2*t^5.12 + 2*t^5.26 + t^5.37 + 2*t^5.5 + t^5.62 + t^5.75 + t^5.86 + t^5.89 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 55301 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1q_1^2$ | 0.705 | 0.8925 | 0.7899 | [X:[], M:[1.1608, 0.9877, 0.8392, 0.7581, 0.9066, 0.7244, 0.8055], q:[0.379, 0.4601], qb:[0.6333, 0.7818], phi:[0.4364]] | t^2.17 + t^2.27 + t^2.42 + t^2.52 + t^2.62 + t^2.72 + t^2.96 + t^3.48 + t^4.07 + t^4.25 + 2*t^4.35 + t^4.45 + t^4.55 + 2*t^4.59 + 2*t^4.69 + 2*t^4.79 + t^4.83 + 2*t^4.89 + t^4.93 + t^4.99 + 2*t^5.04 + t^5.11 + 3*t^5.14 + 2*t^5.24 + t^5.34 + t^5.38 + t^5.44 + t^5.58 + t^5.66 + t^5.68 + t^5.9 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 55281 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6781 | 0.8467 | 0.8009 | [X:[], M:[1.1513, 1.011, 0.8487, 0.7404, 0.9027, 0.7134, 1.1243], q:[0.3702, 0.4785], qb:[0.6188, 0.7811], phi:[0.4379]] | t^2.14 + t^2.22 + t^2.55 + t^2.71 + t^3.03 + t^3.37 + t^3.45 + t^3.53 + t^4.18 + t^4.2 + 2*t^4.28 + t^4.36 + t^4.44 + t^4.61 + t^4.69 + t^4.77 + t^4.85 + t^4.93 + t^5.03 + t^5.09 + t^5.17 + t^5.25 + t^5.42 + t^5.51 + 2*t^5.59 + t^5.68 + t^5.74 + t^5.76 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46560 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.6698 | 0.8297 | 0.8073 | [X:[], M:[1.1533, 0.9823, 0.8467, 0.7363, 0.8719], q:[0.3682, 0.4785], qb:[0.6495, 0.7852], phi:[0.4297]] | t^2.21 + t^2.54 + t^2.58 + t^2.62 + t^2.95 + t^3.46 + t^3.5 + t^3.83 + t^4.16 + t^4.3 + t^4.34 + t^4.42 + t^4.67 + t^4.75 + t^4.79 + t^4.82 + t^5.08 + t^5.12 + 2*t^5.16 + 2*t^5.19 + t^5.23 + t^5.52 + t^5.56 + t^5.71 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail |