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 |
|---|---|---|---|---|---|---|---|---|---|
| 1985 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6696 | 0.8513 | 0.7866 | [X:[], M:[1.1754, 0.7427, 0.8246, 0.8246, 0.7836, 0.7018], q:[0.8041, 0.4532], qb:[0.3714, 0.8041], phi:[0.3918]] | [X:[], M:[[-6], [-14], [6], [6], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ q_1q_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_3M_6$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_6q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | 0 | t^2.11 + t^2.23 + 2*t^2.35 + 2*t^2.47 + t^3.4 + t^3.53 + t^3.77 + t^4.21 + t^4.33 + 3*t^4.46 + 4*t^4.58 + 5*t^4.7 + 5*t^4.82 + 3*t^4.95 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 + t^6.25 + t^6.32 + t^6.44 + 3*t^6.56 + 5*t^6.68 + 8*t^6.81 + 10*t^6.93 + 10*t^7.05 + 8*t^7.18 + 4*t^7.3 + t^7.42 + t^7.61 + 2*t^7.74 + 3*t^7.86 + 5*t^7.98 + 3*t^8.11 + t^8.23 - 2*t^8.35 + t^8.42 - 5*t^8.47 + t^8.54 - 3*t^8.6 + 3*t^8.67 + 5*t^8.79 + 9*t^8.91 - t^4.18/y - t^6.28/y - t^6.4/y - (2*t^6.53)/y - t^6.65/y + t^7.33/y + (2*t^7.46)/y + (4*t^7.58)/y + (4*t^7.7)/y + (6*t^7.82)/y + (2*t^7.95)/y + t^8.07/y - t^8.39/y - t^8.63/y + t^8.88/y - t^4.18*y - t^6.28*y - t^6.4*y - 2*t^6.53*y - t^6.65*y + t^7.33*y + 2*t^7.46*y + 4*t^7.58*y + 4*t^7.7*y + 6*t^7.82*y + 2*t^7.95*y + t^8.07*y - t^8.39*y - t^8.63*y + t^8.88*y | t^2.11/g1^24 + t^2.23/g1^14 + (2*t^2.35)/g1^4 + 2*g1^6*t^2.47 + t^3.4/g1^16 + t^3.53/g1^6 + g1^14*t^3.77 + t^4.21/g1^48 + t^4.33/g1^38 + (3*t^4.46)/g1^28 + (4*t^4.58)/g1^18 + (5*t^4.7)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.95 + t^5.51/g1^40 + (2*t^5.63)/g1^30 + (2*t^5.75)/g1^20 + (3*t^5.88)/g1^10 + g1^20*t^6.25 + t^6.32/g1^72 + t^6.44/g1^62 + (3*t^6.56)/g1^52 + (5*t^6.68)/g1^42 + (8*t^6.81)/g1^32 + (10*t^6.93)/g1^22 + (10*t^7.05)/g1^12 + (8*t^7.18)/g1^2 + 4*g1^8*t^7.3 + g1^18*t^7.42 + t^7.61/g1^64 + (2*t^7.74)/g1^54 + (3*t^7.86)/g1^44 + (5*t^7.98)/g1^34 + (3*t^8.11)/g1^24 + t^8.23/g1^14 - (2*t^8.35)/g1^4 + t^8.42/g1^96 - 5*g1^6*t^8.47 + t^8.54/g1^86 - 3*g1^16*t^8.6 + (3*t^8.67)/g1^76 + (5*t^8.79)/g1^66 + (9*t^8.91)/g1^56 - t^4.18/(g1^2*y) - t^6.28/(g1^26*y) - t^6.4/(g1^16*y) - (2*t^6.53)/(g1^6*y) - (g1^4*t^6.65)/y + t^7.33/(g1^38*y) + (2*t^7.46)/(g1^28*y) + (4*t^7.58)/(g1^18*y) + (4*t^7.7)/(g1^8*y) + (6*g1^2*t^7.82)/y + (2*g1^12*t^7.95)/y + (g1^22*t^8.07)/y - t^8.39/(g1^50*y) - t^8.63/(g1^30*y) + t^8.88/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.28*y)/g1^26 - (t^6.4*y)/g1^16 - (2*t^6.53*y)/g1^6 - g1^4*t^6.65*y + (t^7.33*y)/g1^38 + (2*t^7.46*y)/g1^28 + (4*t^7.58*y)/g1^18 + (4*t^7.7*y)/g1^8 + 6*g1^2*t^7.82*y + 2*g1^12*t^7.95*y + g1^22*t^8.07*y - (t^8.39*y)/g1^50 - (t^8.63*y)/g1^30 + (t^8.88*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3042 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_6$ | 0.5931 | 0.751 | 0.7897 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + t^2.84 + 2*t^3.16 + t^3.79 + t^4.11 + 3*t^4.42 + 5*t^4.74 + 5*t^5.05 + 5*t^5.37 + 3*t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 4068/6859, c: 5151/6859, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 16/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 3041 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6131 | 0.7746 | 0.7916 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 5*t^5. + 4*t^5.25 + 4*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3767/6144, c: 4759/6144, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 5/6, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 740 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6493 | 0.8122 | 0.7994 | [X:[], M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]] | t^2.26 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + t^3.74 + t^3.83 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.71 + 2*t^5.81 + 2*t^5.9 - t^4.18/y - t^4.18*y | detail |