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 |
|---|---|---|---|---|---|---|---|---|---|
| 2165 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1q_2$ | 0.6816 | 0.86 | 0.7926 | [X:[], M:[1.013, 1.0729, 1.1588, 0.8412, 0.6953, 0.987, 0.6953], q:[0.7682, 0.5365], qb:[0.4506, 0.3906], phi:[0.4635]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-13], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ \phi_1^2$, $ M_6$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_4^2$, $ M_5M_6$, $ M_6M_7$, $ M_2M_5$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_6^2$ | . | -1 | 2*t^2.09 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^3.66 + t^3.73 + t^4.09 + 4*t^4.17 + t^4.35 + 3*t^4.61 + 2*t^4.87 + 3*t^5.05 + 3*t^5.3 + t^5.48 + 2*t^5.56 + 3*t^5.74 + t^5.82 + t^5.92 - t^6. + 3*t^6.18 + 6*t^6.26 + 2*t^6.44 + t^6.52 + 2*t^6.62 + 5*t^6.7 + 2*t^6.88 + 3*t^6.95 + t^7.06 + 5*t^7.13 + 2*t^7.31 + 4*t^7.39 + t^7.47 + 3*t^7.57 + 2*t^7.65 + t^7.75 + 5*t^7.83 + 2*t^7.91 + 3*t^8.01 - 3*t^8.09 + t^8.19 + 5*t^8.27 + 8*t^8.34 + 2*t^8.45 + t^8.6 + 6*t^8.7 + 5*t^8.78 + t^8.88 + t^8.96 - t^4.39/y - (2*t^6.48)/y + t^7.17/y + (2*t^7.61)/y + (2*t^7.87)/y + (2*t^8.05)/y + (5*t^8.3)/y + t^8.48/y - t^8.56/y + (4*t^8.74)/y + (2*t^8.82)/y - t^4.39*y - 2*t^6.48*y + t^7.17*y + 2*t^7.61*y + 2*t^7.87*y + 2*t^8.05*y + 5*t^8.3*y + t^8.48*y - t^8.56*y + 4*t^8.74*y + 2*t^8.82*y | 2*g1^3*t^2.09 + t^2.52/g1^5 + g1^4*t^2.78 + t^2.96/g1^13 + t^3.22/g1^4 + g1^5*t^3.48 + t^3.66/g1^12 + g1^14*t^3.73 + t^4.09/g1^20 + 4*g1^6*t^4.17 + t^4.35/g1^11 + (3*t^4.61)/g1^2 + 2*g1^7*t^4.87 + (3*t^5.05)/g1^10 + (3*t^5.3)/g1 + t^5.48/g1^18 + 2*g1^8*t^5.56 + (3*t^5.74)/g1^9 + g1^17*t^5.82 + t^5.92/g1^26 - t^6. + (3*t^6.18)/g1^17 + 6*g1^9*t^6.26 + (2*t^6.44)/g1^8 + g1^18*t^6.52 + (2*t^6.62)/g1^25 + 5*g1*t^6.7 + (2*t^6.88)/g1^16 + 3*g1^10*t^6.95 + t^7.06/g1^33 + (5*t^7.13)/g1^7 + (2*t^7.31)/g1^24 + 4*g1^2*t^7.39 + g1^28*t^7.47 + (3*t^7.57)/g1^15 + 2*g1^11*t^7.65 + t^7.75/g1^32 + (5*t^7.83)/g1^6 + 2*g1^20*t^7.91 + (3*t^8.01)/g1^23 - 3*g1^3*t^8.09 + t^8.19/g1^40 + (5*t^8.27)/g1^14 + 8*g1^12*t^8.34 + (2*t^8.45)/g1^31 + g1^21*t^8.6 + (6*t^8.7)/g1^22 + 5*g1^4*t^8.78 + t^8.88/g1^39 + t^8.96/g1^13 - (g1^2*t^4.39)/y - (2*g1^5*t^6.48)/y + (g1^6*t^7.17)/y + (2*t^7.61)/(g1^2*y) + (2*g1^7*t^7.87)/y + (2*t^8.05)/(g1^10*y) + (5*t^8.3)/(g1*y) + t^8.48/(g1^18*y) - (g1^8*t^8.56)/y + (4*t^8.74)/(g1^9*y) + (2*g1^17*t^8.82)/y - g1^2*t^4.39*y - 2*g1^5*t^6.48*y + g1^6*t^7.17*y + (2*t^7.61*y)/g1^2 + 2*g1^7*t^7.87*y + (2*t^8.05*y)/g1^10 + (5*t^8.3*y)/g1 + (t^8.48*y)/g1^18 - g1^8*t^8.56*y + (4*t^8.74*y)/g1^9 + 2*g1^17*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4140 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1q_2$ + $ M_2M_8$ | 0.6886 | 0.8712 | 0.7903 | [X:[], M:[0.9986, 1.0774, 1.1533, 0.8467, 0.692, 1.0014, 0.692, 0.9226], q:[0.7693, 0.5387], qb:[0.4627, 0.384], phi:[0.4613]] | 2*t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.7 + 4*t^4.15 + t^4.16 + t^4.39 + 3*t^4.62 + 4*t^4.84 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + t^5.76 + 3*t^5.77 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1134 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ | 0.661 | 0.8205 | 0.8057 | [X:[], M:[1.0148, 1.0724, 1.1596, 0.8404, 0.6957, 0.9852], q:[0.7681, 0.5362], qb:[0.449, 0.3915], phi:[0.4638]] | t^2.09 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^3.65 + t^3.74 + t^3.91 + t^4.09 + 2*t^4.17 + t^4.35 + 2*t^4.61 + t^4.87 + 2*t^5.04 + 2*t^5.3 + t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^4.39/y - t^4.39*y | detail |