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 |
|---|---|---|---|---|---|---|---|---|---|
| 4310 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7505 | 0.9475 | 0.7921 | [X:[], M:[0.9243, 1.0757, 0.7728, 1.0, 0.9243, 0.8485, 0.9243, 0.6894], q:[0.5, 0.5757], qb:[0.4243, 0.6515], phi:[0.4621]] | [X:[], M:[[-2], [2], [-6], [0], [-2], [-4], [-2], [5]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_3$, $ M_6$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_4$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_8$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_8$, $ M_5M_8$, $ M_7M_8$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_6^2$, $ M_3M_7$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_4\phi_1^2$ | . | -3 | t^2.07 + t^2.32 + t^2.55 + 4*t^2.77 + t^3. + t^4.14 + t^4.16 + 3*t^4.39 + 3*t^4.61 + t^4.64 + 6*t^4.84 + t^4.86 + 2*t^5.07 + 5*t^5.09 + t^5.3 + 4*t^5.32 + 9*t^5.55 + t^5.77 - 3*t^6. + t^6.2 - 2*t^6.23 + t^6.48 + 2*t^6.68 + 3*t^6.7 + 6*t^6.91 + 7*t^6.93 + t^6.95 + 2*t^7.14 + 13*t^7.16 + t^7.18 + t^7.36 + 11*t^7.39 + 5*t^7.41 + 13*t^7.61 + 5*t^7.64 + t^7.84 + 12*t^7.86 - 4*t^8.07 + 7*t^8.09 + t^8.27 - 4*t^8.3 + 10*t^8.32 - 2*t^8.52 - 5*t^8.55 + 2*t^8.75 - 13*t^8.77 + t^8.8 + 6*t^8.98 - t^4.39/y - t^6.45/y - t^6.7/y - t^6.93/y - (3*t^7.16)/y + t^7.39/y + (4*t^7.61)/y + (5*t^7.84)/y + t^7.86/y + (2*t^8.07)/y + (4*t^8.09)/y + (6*t^8.32)/y - t^8.52/y + (7*t^8.55)/y + (3*t^8.77)/y - t^4.39*y - t^6.45*y - t^6.7*y - t^6.93*y - 3*t^7.16*y + t^7.39*y + 4*t^7.61*y + 5*t^7.84*y + t^7.86*y + 2*t^8.07*y + 4*t^8.09*y + 6*t^8.32*y - t^8.52*y + 7*t^8.55*y + 3*t^8.77*y | g1^5*t^2.07 + t^2.32/g1^6 + t^2.55/g1^4 + (4*t^2.77)/g1^2 + t^3. + g1^10*t^4.14 + t^4.16/g1^3 + (3*t^4.39)/g1 + 3*g1*t^4.61 + t^4.64/g1^12 + 6*g1^3*t^4.84 + t^4.86/g1^10 + 2*g1^5*t^5.07 + (5*t^5.09)/g1^8 + g1^7*t^5.3 + (4*t^5.32)/g1^6 + (9*t^5.55)/g1^4 + t^5.77/g1^2 - 3*t^6. + g1^15*t^6.2 - 2*g1^2*t^6.23 + t^6.48/g1^9 + 2*g1^6*t^6.68 + (3*t^6.7)/g1^7 + 6*g1^8*t^6.91 + (7*t^6.93)/g1^5 + t^6.95/g1^18 + 2*g1^10*t^7.14 + (13*t^7.16)/g1^3 + t^7.18/g1^16 + g1^12*t^7.36 + (11*t^7.39)/g1 + (5*t^7.41)/g1^14 + 13*g1*t^7.61 + (5*t^7.64)/g1^12 + g1^3*t^7.84 + (12*t^7.86)/g1^10 - 4*g1^5*t^8.07 + (7*t^8.09)/g1^8 + g1^20*t^8.27 - 4*g1^7*t^8.3 + (10*t^8.32)/g1^6 - 2*g1^9*t^8.52 - (5*t^8.55)/g1^4 + 2*g1^11*t^8.75 - (13*t^8.77)/g1^2 + t^8.8/g1^15 + 6*g1^13*t^8.98 - t^4.39/(g1*y) - (g1^4*t^6.45)/y - t^6.7/(g1^7*y) - t^6.93/(g1^5*y) - (3*t^7.16)/(g1^3*y) + t^7.39/(g1*y) + (4*g1*t^7.61)/y + (5*g1^3*t^7.84)/y + t^7.86/(g1^10*y) + (2*g1^5*t^8.07)/y + (4*t^8.09)/(g1^8*y) + (6*t^8.32)/(g1^6*y) - (g1^9*t^8.52)/y + (7*t^8.55)/(g1^4*y) + (3*t^8.77)/(g1^2*y) - (t^4.39*y)/g1 - g1^4*t^6.45*y - (t^6.7*y)/g1^7 - (t^6.93*y)/g1^5 - (3*t^7.16*y)/g1^3 + (t^7.39*y)/g1 + 4*g1*t^7.61*y + 5*g1^3*t^7.84*y + (t^7.86*y)/g1^10 + 2*g1^5*t^8.07*y + (4*t^8.09*y)/g1^8 + (6*t^8.32*y)/g1^6 - g1^9*t^8.52*y + (7*t^8.55*y)/g1^4 + (3*t^8.77*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5765 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_1M_9$ | 0.7438 | 0.9357 | 0.7949 | [X:[], M:[0.9296, 1.0704, 0.7888, 1.0, 0.9296, 0.8592, 0.9296, 0.676, 1.0704], q:[0.5, 0.5704], qb:[0.4296, 0.6408], phi:[0.4648]] | t^2.03 + t^2.37 + t^2.58 + 3*t^2.79 + t^3. + t^3.21 + t^4.06 + t^4.18 + 3*t^4.39 + 3*t^4.61 + t^4.73 + 5*t^4.82 + t^4.94 + 2*t^5.03 + 4*t^5.16 + 2*t^5.24 + 3*t^5.37 + 6*t^5.58 + t^5.79 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2316 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_2M_7$ | 0.7299 | 0.9081 | 0.8038 | [X:[], M:[0.922, 1.078, 0.7659, 1.0, 0.922, 0.8439, 0.922], q:[0.5, 0.578], qb:[0.422, 0.6561], phi:[0.461]] | t^2.3 + t^2.53 + 4*t^2.77 + t^3. + t^3.91 + t^4.15 + 2*t^4.38 + t^4.6 + 2*t^4.62 + t^4.83 + 2*t^4.85 + 5*t^5.06 + t^5.09 + 4*t^5.3 + t^5.32 + 9*t^5.53 + t^5.77 - 3*t^6. - t^4.38/y - t^4.38*y | detail |