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 |
|---|---|---|---|---|---|---|---|---|---|
| 2888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.5846 | 0.7385 | 0.7916 | [X:[], M:[0.8484, 1.0758, 1.0, 1.1516, 0.6968, 1.0758], q:[0.6174, 0.5342], qb:[0.2311, 0.7689], phi:[0.4621]] | [X:[], M:[[-8], [4], [0], [8], [-16], [4]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ M_2$, $ M_6$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_5$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_6$, $ M_5\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | . | -2 | t^2.09 + t^2.3 + t^2.55 + t^3. + 2*t^3.23 + t^3.45 + t^3.68 + t^3.93 + t^4.16 + t^4.18 + t^4.39 + 2*t^4.59 + t^4.64 + t^4.84 + 2*t^5.09 + t^5.3 + 2*t^5.32 + 2*t^5.52 + 2*t^5.55 + 2*t^5.77 + t^5.98 - 2*t^6. + t^6.02 + 2*t^6.23 + t^6.27 + 3*t^6.45 + t^6.48 + 3*t^6.68 + t^6.73 + 2*t^6.89 + t^6.91 + t^7.14 + t^7.16 + 2*t^7.18 + 2*t^7.39 + 2*t^7.41 + t^7.59 + t^7.61 + 2*t^7.64 + 3*t^7.82 + 2*t^7.86 + t^8.05 + t^8.07 - t^8.09 + t^8.11 + 2*t^8.27 - 3*t^8.3 + 3*t^8.32 + t^8.36 + 2*t^8.52 + t^8.57 + 3*t^8.75 + 3*t^8.77 + t^8.82 + t^8.98 - t^4.39/y - t^6.48/y + t^7.16/y + t^7.39/y - t^7.61/y + t^7.64/y + t^7.84/y + t^8.09/y + (2*t^8.3)/y + (2*t^8.32)/y + (2*t^8.52)/y + (2*t^8.55)/y - t^8.57/y + t^8.75/y + (3*t^8.77)/y + t^8.98/y - t^4.39*y - t^6.48*y + t^7.16*y + t^7.39*y - t^7.61*y + t^7.64*y + t^7.84*y + t^8.09*y + 2*t^8.3*y + 2*t^8.32*y + 2*t^8.52*y + 2*t^8.55*y - t^8.57*y + t^8.75*y + 3*t^8.77*y + t^8.98*y | t^2.09/g1^16 + g1^14*t^2.3 + t^2.55/g1^8 + t^3. + 2*g1^4*t^3.23 + g1^8*t^3.45 + g1^12*t^3.68 + t^3.93/g1^10 + t^4.16/g1^6 + t^4.18/g1^32 + t^4.39/g1^2 + 2*g1^28*t^4.59 + t^4.64/g1^24 + g1^6*t^4.84 + (2*t^5.09)/g1^16 + g1^14*t^5.3 + (2*t^5.32)/g1^12 + 2*g1^18*t^5.52 + (2*t^5.55)/g1^8 + (2*t^5.77)/g1^4 + g1^26*t^5.98 - 2*t^6. + t^6.02/g1^26 + 2*g1^4*t^6.23 + t^6.27/g1^48 + 3*g1^8*t^6.45 + t^6.48/g1^18 + 3*g1^12*t^6.68 + t^6.73/g1^40 + 2*g1^42*t^6.89 + g1^16*t^6.91 + g1^20*t^7.14 + t^7.16/g1^6 + (2*t^7.18)/g1^32 + (2*t^7.39)/g1^2 + (2*t^7.41)/g1^28 + g1^28*t^7.59 + g1^2*t^7.61 + (2*t^7.64)/g1^24 + 3*g1^32*t^7.82 + (2*t^7.86)/g1^20 + g1^36*t^8.05 + g1^10*t^8.07 - t^8.09/g1^16 + t^8.11/g1^42 + 2*g1^40*t^8.27 - 3*g1^14*t^8.3 + (3*t^8.32)/g1^12 + t^8.36/g1^64 + 2*g1^18*t^8.52 + t^8.57/g1^34 + 3*g1^22*t^8.75 + (3*t^8.77)/g1^4 + t^8.82/g1^56 + g1^26*t^8.98 - t^4.39/(g1^2*y) - t^6.48/(g1^18*y) + t^7.16/(g1^6*y) + t^7.39/(g1^2*y) - (g1^2*t^7.61)/y + t^7.64/(g1^24*y) + (g1^6*t^7.84)/y + t^8.09/(g1^16*y) + (2*g1^14*t^8.3)/y + (2*t^8.32)/(g1^12*y) + (2*g1^18*t^8.52)/y + (2*t^8.55)/(g1^8*y) - t^8.57/(g1^34*y) + (g1^22*t^8.75)/y + (3*t^8.77)/(g1^4*y) + (g1^26*t^8.98)/y - (t^4.39*y)/g1^2 - (t^6.48*y)/g1^18 + (t^7.16*y)/g1^6 + (t^7.39*y)/g1^2 - g1^2*t^7.61*y + (t^7.64*y)/g1^24 + g1^6*t^7.84*y + (t^8.09*y)/g1^16 + 2*g1^14*t^8.3*y + (2*t^8.32*y)/g1^12 + 2*g1^18*t^8.52*y + (2*t^8.55*y)/g1^8 - (t^8.57*y)/g1^34 + g1^22*t^8.75*y + (3*t^8.77*y)/g1^4 + g1^26*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 3458 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_5M_7$ | 0.5641 | 0.6997 | 0.8062 | [X:[], M:[0.8532, 1.0734, 1.0, 1.1468, 0.7065, 1.0734, 1.2935], q:[0.6216, 0.5252], qb:[0.2317, 0.7683], phi:[0.4633]] | t^2.27 + t^2.56 + t^3. + 2*t^3.22 + t^3.44 + t^3.66 + t^3.88 + t^3.95 + t^4.17 + 2*t^4.54 + t^4.83 + t^5.12 + t^5.27 + 2*t^5.49 + t^5.56 + t^5.78 + t^5.93 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 3457 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6053 | 0.7788 | 0.7773 | [X:[], M:[0.85, 1.075, 1.0, 1.15, 0.7001, 1.075, 0.6875], q:[0.6188, 0.5312], qb:[0.2313, 0.7687], phi:[0.4625]] | t^2.06 + t^2.1 + t^2.29 + t^2.55 + t^3. + 2*t^3.22 + t^3.45 + t^3.67 + t^4.12 + 2*t^4.16 + t^4.2 + t^4.35 + t^4.39 + 2*t^4.57 + t^4.61 + t^4.65 + t^4.84 + t^5.06 + 2*t^5.1 + 3*t^5.29 + 2*t^5.33 + 3*t^5.51 + 2*t^5.55 + t^5.74 + 2*t^5.78 + t^5.96 - 2*t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1876 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ | 0.5917 | 0.7504 | 0.7885 | [X:[], M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | t^2.06 + t^2.32 + t^2.53 + t^2.76 + t^3. + t^3.24 + t^3.47 + t^3.71 + t^3.91 + t^4.12 + t^4.15 + t^4.38 + t^4.59 + 2*t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.09 + 2*t^5.29 + t^5.32 + 3*t^5.53 + t^5.56 + 2*t^5.76 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail |