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 |
|---|---|---|---|---|---|---|---|---|---|
| 4969 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.647 | 0.8522 | 0.7592 | [X:[], M:[1.0, 1.0269, 0.9462, 1.2567, 0.6895, 0.7433, 0.7702, 0.7164], q:[0.2433, 0.7567], qb:[0.5, 0.5538], phi:[0.4865]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [3], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_8$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_4$, $ M_5^2$, $ M_5M_8$, $ M_5M_6$, $ M_8^2$, $ M_5M_7$, $ M_6M_8$, $ M_6^2$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6M_7$, $ M_8q_1\tilde{q}_2$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_8$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_8\phi_1q_1^2$, $ M_2M_5$, $ M_3M_7$, $ M_1M_8$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_2M_8$, $ M_7\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_1M_7$, $ \phi_1q_1^3\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_4M_8$ | . | -1 | t^2.07 + t^2.15 + t^2.23 + t^2.31 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.77 + t^4.14 + t^4.22 + 2*t^4.3 + 2*t^4.38 + 4*t^4.46 + 2*t^4.54 + 3*t^4.62 + t^4.7 + 2*t^4.78 + t^4.91 + 2*t^4.99 + 2*t^5.07 + 4*t^5.15 + 3*t^5.23 + 3*t^5.31 + 2*t^5.39 + t^5.47 + t^5.68 + t^5.76 + 2*t^5.84 + 2*t^5.92 - t^6. + t^6.08 + t^6.21 + t^6.29 + 2*t^6.37 + 3*t^6.45 + 4*t^6.53 + 5*t^6.61 + 5*t^6.69 + 4*t^6.77 + 5*t^6.85 + 3*t^6.93 + t^6.98 + 3*t^7.01 + 2*t^7.06 + 2*t^7.09 + 3*t^7.14 + 2*t^7.17 + 5*t^7.22 + 6*t^7.3 + 7*t^7.38 + 6*t^7.46 + 6*t^7.54 + 4*t^7.62 + 4*t^7.7 + t^7.75 + 2*t^7.78 + 2*t^7.83 + t^7.86 + 3*t^7.91 + 4*t^7.99 + 2*t^8.07 + t^8.15 + t^8.23 + t^8.27 - 3*t^8.31 + t^8.35 - 2*t^8.39 + 2*t^8.43 - 2*t^8.47 + 4*t^8.52 + 6*t^8.6 + 7*t^8.68 + 9*t^8.76 + 3*t^8.84 + 6*t^8.92 - t^4.46/y - t^6.53/y - t^6.61/y - t^6.77/y + t^7.22/y + (2*t^7.38)/y + (2*t^7.46)/y + (2*t^7.54)/y + (2*t^7.62)/y + t^7.7/y + t^7.91/y + (2*t^7.99)/y + (3*t^8.07)/y + (5*t^8.15)/y + (4*t^8.23)/y + (4*t^8.31)/y + (3*t^8.39)/y + t^8.47/y - t^8.6/y - t^8.68/y + t^8.84/y + (2*t^8.92)/y - t^4.46*y - t^6.53*y - t^6.61*y - t^6.77*y + t^7.22*y + 2*t^7.38*y + 2*t^7.46*y + 2*t^7.54*y + 2*t^7.62*y + t^7.7*y + t^7.91*y + 2*t^7.99*y + 3*t^8.07*y + 5*t^8.15*y + 4*t^8.23*y + 4*t^8.31*y + 3*t^8.39*y + t^8.47*y - t^8.6*y - t^8.68*y + t^8.84*y + 2*t^8.92*y | t^2.07/g1^9 + t^2.15/g1^5 + t^2.23/g1 + g1^3*t^2.31 + g1^7*t^2.39 + t^2.84/g1^8 + t^2.92/g1^4 + t^3. + g1^4*t^3.08 + g1*t^3.77 + t^4.14/g1^18 + t^4.22/g1^14 + (2*t^4.3)/g1^10 + (2*t^4.38)/g1^6 + (4*t^4.46)/g1^2 + 2*g1^2*t^4.54 + 3*g1^6*t^4.62 + g1^10*t^4.7 + 2*g1^14*t^4.78 + t^4.91/g1^17 + (2*t^4.99)/g1^13 + (2*t^5.07)/g1^9 + (4*t^5.15)/g1^5 + (3*t^5.23)/g1 + 3*g1^3*t^5.31 + 2*g1^7*t^5.39 + g1^11*t^5.47 + t^5.68/g1^16 + t^5.76/g1^12 + (2*t^5.84)/g1^8 + (2*t^5.92)/g1^4 - t^6. + g1^4*t^6.08 + t^6.21/g1^27 + t^6.29/g1^23 + (2*t^6.37)/g1^19 + (3*t^6.45)/g1^15 + (4*t^6.53)/g1^11 + (5*t^6.61)/g1^7 + (5*t^6.69)/g1^3 + 4*g1*t^6.77 + 5*g1^5*t^6.85 + 3*g1^9*t^6.93 + t^6.98/g1^26 + 3*g1^13*t^7.01 + (2*t^7.06)/g1^22 + 2*g1^17*t^7.09 + (3*t^7.14)/g1^18 + 2*g1^21*t^7.17 + (5*t^7.22)/g1^14 + (6*t^7.3)/g1^10 + (7*t^7.38)/g1^6 + (6*t^7.46)/g1^2 + 6*g1^2*t^7.54 + 4*g1^6*t^7.62 + 4*g1^10*t^7.7 + t^7.75/g1^25 + 2*g1^14*t^7.78 + (2*t^7.83)/g1^21 + g1^18*t^7.86 + (3*t^7.91)/g1^17 + (4*t^7.99)/g1^13 + (2*t^8.07)/g1^9 + t^8.15/g1^5 + t^8.23/g1 + t^8.27/g1^36 - 3*g1^3*t^8.31 + t^8.35/g1^32 - 2*g1^7*t^8.39 + (2*t^8.43)/g1^28 - 2*g1^11*t^8.47 + (4*t^8.52)/g1^24 + (6*t^8.6)/g1^20 + (7*t^8.68)/g1^16 + (9*t^8.76)/g1^12 + (3*t^8.84)/g1^8 + (6*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.53/(g1^11*y) - t^6.61/(g1^7*y) - (g1*t^6.77)/y + t^7.22/(g1^14*y) + (2*t^7.38)/(g1^6*y) + (2*t^7.46)/(g1^2*y) + (2*g1^2*t^7.54)/y + (2*g1^6*t^7.62)/y + (g1^10*t^7.7)/y + t^7.91/(g1^17*y) + (2*t^7.99)/(g1^13*y) + (3*t^8.07)/(g1^9*y) + (5*t^8.15)/(g1^5*y) + (4*t^8.23)/(g1*y) + (4*g1^3*t^8.31)/y + (3*g1^7*t^8.39)/y + (g1^11*t^8.47)/y - t^8.6/(g1^20*y) - t^8.68/(g1^16*y) + t^8.84/(g1^8*y) + (2*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.53*y)/g1^11 - (t^6.61*y)/g1^7 - g1*t^6.77*y + (t^7.22*y)/g1^14 + (2*t^7.38*y)/g1^6 + (2*t^7.46*y)/g1^2 + 2*g1^2*t^7.54*y + 2*g1^6*t^7.62*y + g1^10*t^7.7*y + (t^7.91*y)/g1^17 + (2*t^7.99*y)/g1^13 + (3*t^8.07*y)/g1^9 + (5*t^8.15*y)/g1^5 + (4*t^8.23*y)/g1 + 4*g1^3*t^8.31*y + 3*g1^7*t^8.39*y + g1^11*t^8.47*y - (t^8.6*y)/g1^20 - (t^8.68*y)/g1^16 + (t^8.84*y)/g1^8 + (2*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6558 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_2$ + $ M_9\phi_1q_1^2$ | 0.6448 | 0.8483 | 0.7602 | [X:[], M:[1.0, 1.0182, 0.9635, 1.2546, 0.7089, 0.7454, 0.7637, 0.7272, 1.0182], q:[0.2454, 0.7546], qb:[0.5, 0.5365], phi:[0.4909]] | t^2.13 + t^2.18 + t^2.24 + t^2.29 + t^2.35 + t^2.89 + t^3. + 2*t^3.05 + t^3.76 + t^4.25 + t^4.31 + 2*t^4.36 + 2*t^4.42 + 4*t^4.47 + 2*t^4.53 + 3*t^4.58 + t^4.64 + 2*t^4.69 + t^5.02 + t^5.07 + t^5.13 + 4*t^5.18 + 3*t^5.24 + 3*t^5.29 + 3*t^5.35 + 2*t^5.4 + t^5.78 + t^5.89 + 2*t^5.95 - 2*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3063 | 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_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6268 | 0.8143 | 0.7698 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.09 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.84 + t^4.18 + t^4.32 + t^4.39 + 3*t^4.46 + t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^4.95 + t^5.02 + t^5.09 + 3*t^5.16 + 2*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.45 + t^5.72 + t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |