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 |
|---|---|---|---|---|---|---|---|---|---|
| 2269 | 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_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.686 | 0.8806 | 0.7791 | [X:[], M:[0.8225, 0.7474, 1.1775, 0.8601, 0.785, 0.7098, 0.7474], q:[0.8038, 0.8038], qb:[0.3737, 0.4488], phi:[0.3925]] | [X:[], M:[[6], [-14], [-6], [16], [-4], [-24], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_6M_7$, $ M_2^2$, $ M_5M_6$, $ M_2M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_4M_6$, $ M_1M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_4M_7$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_6$, $ M_6q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_7$, $ M_2q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$ | . | -1 | t^2.13 + 2*t^2.24 + 2*t^2.35 + t^2.47 + t^2.58 + 2*t^3.53 + t^4.26 + 2*t^4.37 + 5*t^4.48 + 5*t^4.6 + 6*t^4.71 + 5*t^4.82 + 3*t^4.94 + t^5.05 + t^5.16 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^6.23 + t^6.39 + 2*t^6.5 + 5*t^6.61 + 9*t^6.73 + 12*t^6.84 + 13*t^6.95 + 16*t^7.06 + 8*t^7.18 + 4*t^7.29 + 3*t^7.4 + 2*t^7.52 + t^7.63 + t^7.74 + 2*t^7.79 + 3*t^7.9 + 6*t^8.02 + t^8.13 - 2*t^8.24 - 5*t^8.35 - 7*t^8.47 + t^8.52 - 7*t^8.58 + 2*t^8.63 - 2*t^8.69 + 5*t^8.74 - t^8.81 + 9*t^8.86 + 17*t^8.97 - t^4.18/y - t^6.31/y - (2*t^6.42)/y - (2*t^6.53)/y - t^6.76/y + (2*t^7.37)/y + (3*t^7.48)/y + (6*t^7.6)/y + (4*t^7.71)/y + (6*t^7.82)/y + (4*t^7.94)/y + (2*t^8.05)/y - t^8.44/y - (2*t^8.55)/y - (3*t^8.66)/y - t^4.18*y - t^6.31*y - 2*t^6.42*y - 2*t^6.53*y - t^6.76*y + 2*t^7.37*y + 3*t^7.48*y + 6*t^7.6*y + 4*t^7.71*y + 6*t^7.82*y + 4*t^7.94*y + 2*t^8.05*y - t^8.44*y - 2*t^8.55*y - 3*t^8.66*y | t^2.13/g1^24 + (2*t^2.24)/g1^14 + (2*t^2.35)/g1^4 + g1^6*t^2.47 + g1^16*t^2.58 + (2*t^3.53)/g1^6 + t^4.26/g1^48 + (2*t^4.37)/g1^38 + (5*t^4.48)/g1^28 + (5*t^4.6)/g1^18 + (6*t^4.71)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.94 + g1^22*t^5.05 + g1^32*t^5.16 + (2*t^5.66)/g1^30 + (3*t^5.77)/g1^20 + (2*t^5.89)/g1^10 - t^6. - g1^20*t^6.23 + t^6.39/g1^72 + (2*t^6.5)/g1^62 + (5*t^6.61)/g1^52 + (9*t^6.73)/g1^42 + (12*t^6.84)/g1^32 + (13*t^6.95)/g1^22 + (16*t^7.06)/g1^12 + (8*t^7.18)/g1^2 + 4*g1^8*t^7.29 + 3*g1^18*t^7.4 + 2*g1^28*t^7.52 + g1^38*t^7.63 + g1^48*t^7.74 + (2*t^7.79)/g1^54 + (3*t^7.9)/g1^44 + (6*t^8.02)/g1^34 + t^8.13/g1^24 - (2*t^8.24)/g1^14 - (5*t^8.35)/g1^4 - 7*g1^6*t^8.47 + t^8.52/g1^96 - 7*g1^16*t^8.58 + (2*t^8.63)/g1^86 - 2*g1^26*t^8.69 + (5*t^8.74)/g1^76 - g1^36*t^8.81 + (9*t^8.86)/g1^66 + (17*t^8.97)/g1^56 - t^4.18/(g1^2*y) - t^6.31/(g1^26*y) - (2*t^6.42)/(g1^16*y) - (2*t^6.53)/(g1^6*y) - (g1^14*t^6.76)/y + (2*t^7.37)/(g1^38*y) + (3*t^7.48)/(g1^28*y) + (6*t^7.6)/(g1^18*y) + (4*t^7.71)/(g1^8*y) + (6*g1^2*t^7.82)/y + (4*g1^12*t^7.94)/y + (2*g1^22*t^8.05)/y - t^8.44/(g1^50*y) - (2*t^8.55)/(g1^40*y) - (3*t^8.66)/(g1^30*y) - (t^4.18*y)/g1^2 - (t^6.31*y)/g1^26 - (2*t^6.42*y)/g1^16 - (2*t^6.53*y)/g1^6 - g1^14*t^6.76*y + (2*t^7.37*y)/g1^38 + (3*t^7.48*y)/g1^28 + (6*t^7.6*y)/g1^18 + (4*t^7.71*y)/g1^8 + 6*g1^2*t^7.82*y + 4*g1^12*t^7.94*y + 2*g1^22*t^8.05*y - (t^8.44*y)/g1^50 - (2*t^8.55*y)/g1^40 - (3*t^8.66*y)/g1^30 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4280 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_1$ | 0.6017 | 0.7528 | 0.7994 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 0.8333, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 5*t^5. + 5*t^5.25 + 4*t^5.5 - t^4.25/y - t^4.25*y | detail | {a: 3697/6144, c: 4625/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 5/6, M6: 1, M7: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1219 | 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_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.667 | 0.8452 | 0.7893 | [X:[], M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]] | t^2.18 + t^2.27 + 2*t^2.36 + t^2.46 + t^2.55 + 2*t^3.54 + t^3.73 + t^4.35 + t^4.45 + 3*t^4.54 + 3*t^4.63 + 5*t^4.73 + 4*t^4.82 + 3*t^4.91 + t^5.01 + t^5.1 + 2*t^5.72 + t^5.81 + 3*t^5.91 - t^4.18/y - t^4.18*y | detail |