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 |
|---|---|---|---|---|---|---|---|---|---|
| 4511 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7441 | 0.9354 | 0.7955 | [X:[], M:[1.0, 0.8789, 0.8183, 1.0606, 1.0, 0.8789, 0.9394, 0.7119], q:[0.5908, 0.4092], qb:[0.5908, 0.5303], phi:[0.4697]] | [X:[], M:[[0], [-4], [-6], [2], [0], [-4], [-2], [7]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_3$, $ M_2$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_8$, $ \phi_1\tilde{q}_2^2$, $ M_2M_8$, $ M_6M_8$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_7M_8$, $ M_8\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_3M_6$, $ M_1M_8$, $ M_5M_8$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_2M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_5$ | -3 | t^2.14 + t^2.46 + 2*t^2.64 + 2*t^2.82 + 2*t^3. + t^4.23 + t^4.27 + 2*t^4.41 + 2*t^4.59 + 4*t^4.77 + t^4.91 + 5*t^4.95 + 2*t^5.09 + 2*t^5.14 + 5*t^5.27 + 4*t^5.46 + 6*t^5.64 + 2*t^5.82 - 3*t^6. - 2*t^6.18 - t^6.36 + t^6.41 + t^6.68 + 2*t^6.73 + 2*t^6.86 + 4*t^6.91 + 6*t^7.05 + 5*t^7.09 + 8*t^7.23 + 2*t^7.27 + t^7.37 + 11*t^7.41 + 2*t^7.55 + 10*t^7.59 + 5*t^7.73 + 9*t^7.77 + 8*t^7.91 + 2*t^7.95 + 8*t^8.09 - 7*t^8.14 + 8*t^8.27 - 4*t^8.32 + 2*t^8.46 - t^8.5 + t^8.54 - 6*t^8.64 - 10*t^8.82 + 2*t^8.86 - t^4.41/y - t^6.54/y - t^6.86/y - (2*t^7.05)/y - t^7.23/y + (2*t^7.59)/y + (4*t^7.77)/y + (3*t^7.95)/y + (2*t^8.09)/y + (2*t^8.14)/y + (4*t^8.27)/y + (6*t^8.46)/y + (5*t^8.64)/y - t^8.68/y + (4*t^8.82)/y - t^4.41*y - t^6.54*y - t^6.86*y - 2*t^7.05*y - t^7.23*y + 2*t^7.59*y + 4*t^7.77*y + 3*t^7.95*y + 2*t^8.09*y + 2*t^8.14*y + 4*t^8.27*y + 6*t^8.46*y + 5*t^8.64*y - t^8.68*y + 4*t^8.82*y | g1^7*t^2.14 + t^2.46/g1^6 + (2*t^2.64)/g1^4 + (2*t^2.82)/g1^2 + 2*t^3. + t^4.23/g1^3 + g1^14*t^4.27 + (2*t^4.41)/g1 + 2*g1*t^4.59 + 4*g1^3*t^4.77 + t^4.91/g1^12 + 5*g1^5*t^4.95 + (2*t^5.09)/g1^10 + 2*g1^7*t^5.14 + (5*t^5.27)/g1^8 + (4*t^5.46)/g1^6 + (6*t^5.64)/g1^4 + (2*t^5.82)/g1^2 - 3*t^6. - 2*g1^2*t^6.18 - g1^4*t^6.36 + g1^21*t^6.41 + t^6.68/g1^9 + 2*g1^8*t^6.73 + (2*t^6.86)/g1^7 + 4*g1^10*t^6.91 + (6*t^7.05)/g1^5 + 5*g1^12*t^7.09 + (8*t^7.23)/g1^3 + 2*g1^14*t^7.27 + t^7.37/g1^18 + (11*t^7.41)/g1 + (2*t^7.55)/g1^16 + 10*g1*t^7.59 + (5*t^7.73)/g1^14 + 9*g1^3*t^7.77 + (8*t^7.91)/g1^12 + 2*g1^5*t^7.95 + (8*t^8.09)/g1^10 - 7*g1^7*t^8.14 + (8*t^8.27)/g1^8 - 4*g1^9*t^8.32 + (2*t^8.46)/g1^6 - g1^11*t^8.5 + g1^28*t^8.54 - (6*t^8.64)/g1^4 - (10*t^8.82)/g1^2 + 2*g1^15*t^8.86 - t^4.41/(g1*y) - (g1^6*t^6.54)/y - t^6.86/(g1^7*y) - (2*t^7.05)/(g1^5*y) - t^7.23/(g1^3*y) + (2*g1*t^7.59)/y + (4*g1^3*t^7.77)/y + (3*g1^5*t^7.95)/y + (2*t^8.09)/(g1^10*y) + (2*g1^7*t^8.14)/y + (4*t^8.27)/(g1^8*y) + (6*t^8.46)/(g1^6*y) + (5*t^8.64)/(g1^4*y) - (g1^13*t^8.68)/y + (4*t^8.82)/(g1^2*y) - (t^4.41*y)/g1 - g1^6*t^6.54*y - (t^6.86*y)/g1^7 - (2*t^7.05*y)/g1^5 - (t^7.23*y)/g1^3 + 2*g1*t^7.59*y + 4*g1^3*t^7.77*y + 3*g1^5*t^7.95*y + (2*t^8.09*y)/g1^10 + 2*g1^7*t^8.14*y + (4*t^8.27*y)/g1^8 + (6*t^8.46*y)/g1^6 + (5*t^8.64*y)/g1^4 - g1^13*t^8.68*y + (4*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 6034 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ + $ M_3M_9$ | 0.7297 | 0.9109 | 0.8011 | [X:[], M:[1.0, 0.899, 0.8485, 1.0505, 1.0, 0.899, 0.9495, 0.6767, 1.1515], q:[0.5757, 0.4243], qb:[0.5757, 0.5252], phi:[0.4748]] | t^2.03 + 2*t^2.7 + 2*t^2.85 + 2*t^3. + t^3.45 + t^4.06 + t^4.27 + 2*t^4.42 + t^4.58 + 4*t^4.73 + 5*t^4.88 + 2*t^5.03 + 3*t^5.39 + t^5.48 + 2*t^5.55 + 6*t^5.7 + 2*t^5.85 - 3*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2459 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.724 | 0.8987 | 0.8056 | [X:[], M:[1.0, 0.8687, 0.8031, 1.0656, 1.0, 0.8687, 0.9344], q:[0.5985, 0.4015], qb:[0.5985, 0.5328], phi:[0.4672]] | t^2.41 + 2*t^2.61 + 2*t^2.8 + 2*t^3. + t^3.81 + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^4.82 + 3*t^4.99 + 2*t^5.02 + 5*t^5.21 + 4*t^5.41 + 6*t^5.61 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |