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 |
|---|---|---|---|---|---|---|---|---|---|
| 1618 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8463 | 0.8012 | [X:[], M:[1.1537, 1.1284, 0.8968, 1.0, 0.8463, 0.7431, 0.7179], q:[0.7821, 0.4748], qb:[0.3716, 0.6284], phi:[0.4358]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-8], [-1]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_7$, $ M_5M_6$, $ M_3M_7$, $ M_3M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_3M_5$, $ M_4M_6$, $ M_3^2$, $ M_4M_5$, $ M_2M_7$, $ M_2M_6$, $ M_1M_7$, $ M_3M_4$, $ M_1M_6$, $ M_7\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_2M_5$ | . | -1 | t^2.15 + t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.39 + t^3.46 + t^3.54 + t^4.16 + t^4.23 + 2*t^4.31 + t^4.38 + t^4.46 + t^4.62 + t^4.69 + t^4.77 + t^4.84 + t^4.92 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.38 + t^5.54 + 2*t^5.61 + 2*t^5.69 + t^5.77 + t^5.92 - t^6. + t^6.08 + t^6.15 + t^6.23 + 2*t^6.39 + 2*t^6.46 + 2*t^6.54 + t^6.61 + 2*t^6.69 + t^6.77 + 2*t^6.85 + 2*t^6.92 + 3*t^7. + 2*t^7.07 + t^7.15 + t^7.16 + t^7.23 + 2*t^7.31 + t^7.38 + t^7.46 + t^7.53 + t^7.61 + 2*t^7.62 + 2*t^7.69 + 3*t^7.77 + 4*t^7.84 + 2*t^7.92 + t^8. + t^8.07 - t^8.15 - t^8.23 + 3*t^8.31 + 2*t^8.38 + 2*t^8.46 + 4*t^8.61 + 3*t^8.77 + 2*t^8.84 + 2*t^8.92 - t^4.31/y - t^6.46/y - t^6.54/y - t^7./y + t^7.38/y + t^7.62/y + t^7.69/y + t^7.77/y + t^7.84/y + t^7.92/y + t^8.08/y + (2*t^8.15)/y + (2*t^8.23)/y + (2*t^8.54)/y + t^8.61/y + (2*t^8.69)/y + t^8.92/y - t^4.31*y - t^6.46*y - t^6.54*y - t^7.*y + t^7.38*y + t^7.62*y + t^7.69*y + t^7.77*y + t^7.84*y + t^7.92*y + t^8.08*y + 2*t^8.15*y + 2*t^8.23*y + 2*t^8.54*y + t^8.61*y + 2*t^8.69*y + t^8.92*y | t^2.15/g1 + t^2.23/g1^8 + g1^3*t^2.54 + t^2.69/g1^11 + t^3. + g1^4*t^3.39 + t^3.46/g1^3 + t^3.54/g1^10 + g1^12*t^4.16 + g1^5*t^4.23 + (2*t^4.31)/g1^2 + t^4.38/g1^9 + t^4.46/g1^16 + g1^9*t^4.62 + g1^2*t^4.69 + t^4.77/g1^5 + t^4.84/g1^12 + t^4.92/g1^19 + 2*g1^6*t^5.08 + t^5.15/g1 + t^5.23/g1^8 + t^5.38/g1^22 + g1^3*t^5.54 + (2*t^5.61)/g1^4 + (2*t^5.69)/g1^11 + t^5.77/g1^18 + g1^7*t^5.92 - t^6. + t^6.08/g1^7 + t^6.15/g1^14 + t^6.23/g1^21 + 2*g1^4*t^6.39 + (2*t^6.46)/g1^3 + (2*t^6.54)/g1^10 + t^6.61/g1^17 + t^6.69/g1^24 + g1^15*t^6.69 + g1^8*t^6.77 + 2*g1*t^6.85 + (2*t^6.92)/g1^6 + (3*t^7.)/g1^13 + (2*t^7.07)/g1^20 + t^7.15/g1^27 + g1^12*t^7.16 + g1^5*t^7.23 + (2*t^7.31)/g1^2 + t^7.38/g1^9 + t^7.46/g1^16 + t^7.53/g1^23 + t^7.61/g1^30 + 2*g1^9*t^7.62 + 2*g1^2*t^7.69 + (3*t^7.77)/g1^5 + (4*t^7.84)/g1^12 + (2*t^7.92)/g1^19 + t^8./g1^26 + t^8.07/g1^33 - t^8.15/g1 - t^8.23/g1^8 + (2*t^8.31)/g1^15 + g1^24*t^8.31 + (2*t^8.38)/g1^22 + t^8.46/g1^29 + g1^10*t^8.46 + (4*t^8.61)/g1^4 + (2*t^8.77)/g1^18 + g1^21*t^8.77 + (2*t^8.84)/g1^25 + (2*t^8.92)/g1^32 - t^4.31/(g1^2*y) - t^6.46/(g1^3*y) - t^6.54/(g1^10*y) - t^7./(g1^13*y) + t^7.38/(g1^9*y) + (g1^9*t^7.62)/y + (g1^2*t^7.69)/y + t^7.77/(g1^5*y) + t^7.84/(g1^12*y) + t^7.92/(g1^19*y) + (g1^6*t^8.08)/y + (2*t^8.15)/(g1*y) + (2*t^8.23)/(g1^8*y) + (2*g1^3*t^8.54)/y + t^8.61/(g1^4*y) + (2*t^8.69)/(g1^11*y) + (g1^7*t^8.92)/y - (t^4.31*y)/g1^2 - (t^6.46*y)/g1^3 - (t^6.54*y)/g1^10 - (t^7.*y)/g1^13 + (t^7.38*y)/g1^9 + g1^9*t^7.62*y + g1^2*t^7.69*y + (t^7.77*y)/g1^5 + (t^7.84*y)/g1^12 + (t^7.92*y)/g1^19 + g1^6*t^8.08*y + (2*t^8.15*y)/g1 + (2*t^8.23*y)/g1^8 + 2*g1^3*t^8.54*y + (t^8.61*y)/g1^4 + (2*t^8.69*y)/g1^11 + g1^7*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 4010 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_1M_8$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.157, 1.124, 0.909, 1.0, 0.843, 0.752, 0.719, 0.843], q:[0.781, 0.467], qb:[0.376, 0.624], phi:[0.438]] | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.22 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*y | detail |