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 |
|---|---|---|---|---|---|---|---|---|---|
| 1229 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6848 | 0.8548 | 0.8012 | [X:[], M:[1.0, 1.1585, 0.9146, 0.8415, 0.8049, 0.7561], q:[0.7805, 0.378], qb:[0.622, 0.4635], phi:[0.439]] | [X:[], M:[[0], [-3], [-11], [3], [10], [-8]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_4M_6$, $ M_5^2$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_3M_6$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_3^2$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_2M_6$, $ M_2M_5$ | . | -1 | t^2.27 + t^2.41 + t^2.52 + t^2.63 + t^2.74 + t^3. + t^3.48 + t^3.84 + t^4.1 + t^4.21 + t^4.32 + t^4.54 + t^4.57 + t^4.68 + t^4.79 + t^4.83 + t^4.9 + t^4.94 + t^5.01 + 3*t^5.05 + 2*t^5.16 + 2*t^5.27 + t^5.38 + t^5.41 + t^5.49 + t^5.63 + t^5.74 + t^5.89 - t^6. + t^6.11 + t^6.22 + t^6.37 + t^6.48 + t^6.51 + t^6.59 + 2*t^6.62 + t^6.73 + t^6.8 + 2*t^6.84 + 2*t^6.95 + t^6.99 + t^7.06 + 2*t^7.1 + t^7.17 + t^7.21 + t^7.24 + t^7.28 + 3*t^7.32 + t^7.35 + 2*t^7.43 + 2*t^7.46 + 2*t^7.54 + 3*t^7.57 + t^7.65 + 4*t^7.68 + t^7.76 + 2*t^7.79 + t^7.83 + 3*t^7.9 + 2*t^8.01 + t^8.05 + t^8.12 + t^8.2 + t^8.23 - t^8.27 + t^8.31 + t^8.38 - t^8.41 + t^8.49 - t^8.52 + t^8.67 - t^8.74 + t^8.85 + t^8.89 + t^8.93 + t^8.96 - t^4.32/y - t^6.59/y - t^6.73/y - t^6.95/y - t^7.06/y + t^7.57/y + (2*t^7.68)/y + t^7.79/y + (2*t^7.9)/y + t^7.94/y + t^8.01/y + (2*t^8.05)/y + (2*t^8.16)/y + (2*t^8.27)/y + t^8.38/y + t^8.41/y + t^8.52/y + t^8.63/y + (2*t^8.74)/y - t^8.85/y + t^8.89/y - t^4.32*y - t^6.59*y - t^6.73*y - t^6.95*y - t^7.06*y + t^7.57*y + 2*t^7.68*y + t^7.79*y + 2*t^7.9*y + t^7.94*y + t^8.01*y + 2*t^8.05*y + 2*t^8.16*y + 2*t^8.27*y + t^8.38*y + t^8.41*y + t^8.52*y + t^8.63*y + 2*t^8.74*y - t^8.85*y + t^8.89*y | t^2.27/g1^8 + g1^10*t^2.41 + g1^3*t^2.52 + t^2.63/g1^4 + t^2.74/g1^11 + t^3. + t^3.48/g1^3 + g1*t^3.84 + g1^12*t^4.1 + g1^5*t^4.21 + t^4.32/g1^2 + t^4.54/g1^16 + g1^9*t^4.57 + g1^2*t^4.68 + t^4.79/g1^5 + g1^20*t^4.83 + t^4.9/g1^12 + g1^13*t^4.94 + t^5.01/g1^19 + 3*g1^6*t^5.05 + (2*t^5.16)/g1 + (2*t^5.27)/g1^8 + t^5.38/g1^15 + g1^10*t^5.41 + t^5.49/g1^22 + t^5.63/g1^4 + t^5.74/g1^11 + g1^7*t^5.89 - t^6. + t^6.11/g1^7 + t^6.22/g1^14 + g1^4*t^6.37 + t^6.48/g1^3 + g1^22*t^6.51 + t^6.59/g1^10 + 2*g1^15*t^6.62 + g1^8*t^6.73 + t^6.8/g1^24 + 2*g1*t^6.84 + (2*t^6.95)/g1^6 + g1^19*t^6.99 + t^7.06/g1^13 + 2*g1^12*t^7.1 + t^7.17/g1^20 + g1^5*t^7.21 + g1^30*t^7.24 + t^7.28/g1^27 + (3*t^7.32)/g1^2 + g1^23*t^7.35 + (2*t^7.43)/g1^9 + 2*g1^16*t^7.46 + (2*t^7.54)/g1^16 + 3*g1^9*t^7.57 + t^7.65/g1^23 + 4*g1^2*t^7.68 + t^7.76/g1^30 + (2*t^7.79)/g1^5 + g1^20*t^7.83 + (3*t^7.9)/g1^12 + (2*t^8.01)/g1^19 + g1^6*t^8.05 + t^8.12/g1^26 + g1^24*t^8.2 + t^8.23/g1^33 - t^8.27/g1^8 + g1^17*t^8.31 + t^8.38/g1^15 - g1^10*t^8.41 + t^8.49/g1^22 - g1^3*t^8.52 + g1^21*t^8.67 - t^8.74/g1^11 + t^8.85/g1^18 + g1^7*t^8.89 + g1^32*t^8.93 + t^8.96/g1^25 - t^4.32/(g1^2*y) - t^6.59/(g1^10*y) - (g1^8*t^6.73)/y - t^6.95/(g1^6*y) - t^7.06/(g1^13*y) + (g1^9*t^7.57)/y + (2*g1^2*t^7.68)/y + t^7.79/(g1^5*y) + (2*t^7.9)/(g1^12*y) + (g1^13*t^7.94)/y + t^8.01/(g1^19*y) + (2*g1^6*t^8.05)/y + (2*t^8.16)/(g1*y) + (2*t^8.27)/(g1^8*y) + t^8.38/(g1^15*y) + (g1^10*t^8.41)/y + (g1^3*t^8.52)/y + t^8.63/(g1^4*y) + (2*t^8.74)/(g1^11*y) - t^8.85/(g1^18*y) + (g1^7*t^8.89)/y - (t^4.32*y)/g1^2 - (t^6.59*y)/g1^10 - g1^8*t^6.73*y - (t^6.95*y)/g1^6 - (t^7.06*y)/g1^13 + g1^9*t^7.57*y + 2*g1^2*t^7.68*y + (t^7.79*y)/g1^5 + (2*t^7.9*y)/g1^12 + g1^13*t^7.94*y + (t^8.01*y)/g1^19 + 2*g1^6*t^8.05*y + (2*t^8.16*y)/g1 + (2*t^8.27*y)/g1^8 + (t^8.38*y)/g1^15 + g1^10*t^8.41*y + g1^3*t^8.52*y + (t^8.63*y)/g1^4 + (2*t^8.74*y)/g1^11 - (t^8.85*y)/g1^18 + g1^7*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 2282 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.6987 | 0.8788 | 0.795 | [X:[], M:[1.0, 1.1613, 0.9248, 0.8387, 0.7956, 0.7635, 0.8387], q:[0.7796, 0.3818], qb:[0.6182, 0.4569], phi:[0.4409]] | t^2.29 + t^2.39 + 2*t^2.52 + t^2.65 + t^2.77 + t^3. + t^3.84 + t^4.06 + t^4.19 + t^4.32 + t^4.55 + t^4.58 + t^4.68 + t^4.77 + 2*t^4.81 + 2*t^4.9 + t^4.94 + 5*t^5.03 + t^5.06 + 3*t^5.16 + 3*t^5.29 + t^5.39 + t^5.42 + t^5.52 + t^5.55 + t^5.65 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 746 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ | 0.6663 | 0.822 | 0.8106 | [X:[], M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | t^2.36 + t^2.51 + t^2.65 + t^2.8 + t^3. + t^3.49 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + t^4.73 + t^4.87 + 3*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.45 + t^5.6 + t^5.65 + t^5.85 - t^6. - t^4.33/y - t^4.33*y | detail |