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 |
|---|---|---|---|---|---|---|---|---|---|
| 2258 | 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_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6514 | 0.8184 | 0.7959 | [X:[], M:[0.8197, 0.754, 1.1803, 0.8526, 1.2131, 0.7211, 0.754], q:[0.8033, 0.8033], qb:[0.377, 0.4427], phi:[0.3934]] | [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_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_6M_7$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ M_1M_6$, $ M_1M_2$, $ M_4M_6$, $ M_1M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_4M_7$, $ q_1q_2$, $ M_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_5M_6$, $ M_3M_7$, $ M_2q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_5M_7$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.16 + 2*t^2.26 + t^2.46 + t^2.56 + 2*t^3.54 + 2*t^3.64 + t^4.33 + 2*t^4.43 + 3*t^4.52 + t^4.62 + 3*t^4.72 + 3*t^4.82 + t^4.92 + t^5.02 + t^5.12 + 2*t^5.7 + 5*t^5.8 + 2*t^5.9 - t^6. + 2*t^6.1 + t^6.2 + t^6.49 + 2*t^6.59 + 3*t^6.69 + 5*t^6.79 + 3*t^6.88 + 5*t^6.98 + 6*t^7.08 + 3*t^7.18 + 2*t^7.28 + t^7.38 + t^7.57 + t^7.67 + 2*t^7.87 + 5*t^7.97 + 6*t^8.06 + t^8.16 - 2*t^8.26 + 3*t^8.36 - t^8.46 - 3*t^8.56 + t^8.65 + 3*t^8.75 + 3*t^8.85 + 5*t^8.95 - t^4.18/y - t^6.34/y - (2*t^6.44)/y - t^6.74/y + (2*t^7.43)/y + t^7.52/y + (2*t^7.62)/y + (3*t^7.72)/y + (2*t^7.82)/y + (2*t^7.92)/y + (2*t^8.02)/y - t^8.51/y - (2*t^8.61)/y - t^8.7/y + (6*t^8.8)/y + (3*t^8.9)/y - t^4.18*y - t^6.34*y - 2*t^6.44*y - t^6.74*y + 2*t^7.43*y + t^7.52*y + 2*t^7.62*y + 3*t^7.72*y + 2*t^7.82*y + 2*t^7.92*y + 2*t^8.02*y - t^8.51*y - 2*t^8.61*y - t^8.7*y + 6*t^8.8*y + 3*t^8.9*y | t^2.16/g1^24 + (2*t^2.26)/g1^14 + g1^6*t^2.46 + g1^16*t^2.56 + (2*t^3.54)/g1^6 + 2*g1^4*t^3.64 + t^4.33/g1^48 + (2*t^4.43)/g1^38 + (3*t^4.52)/g1^28 + t^4.62/g1^18 + (3*t^4.72)/g1^8 + 3*g1^2*t^4.82 + g1^12*t^4.92 + g1^22*t^5.02 + g1^32*t^5.12 + (2*t^5.7)/g1^30 + (5*t^5.8)/g1^20 + (2*t^5.9)/g1^10 - t^6. + 2*g1^10*t^6.1 + g1^20*t^6.2 + t^6.49/g1^72 + (2*t^6.59)/g1^62 + (3*t^6.69)/g1^52 + (5*t^6.79)/g1^42 + (3*t^6.88)/g1^32 + (5*t^6.98)/g1^22 + (6*t^7.08)/g1^12 + (3*t^7.18)/g1^2 + 2*g1^8*t^7.28 + g1^18*t^7.38 + g1^38*t^7.57 + g1^48*t^7.67 + (2*t^7.87)/g1^54 + (5*t^7.97)/g1^44 + (6*t^8.06)/g1^34 + t^8.16/g1^24 - (2*t^8.26)/g1^14 + (3*t^8.36)/g1^4 - g1^6*t^8.46 - 3*g1^16*t^8.56 + t^8.65/g1^96 + (2*t^8.75)/g1^86 + g1^36*t^8.75 + (3*t^8.85)/g1^76 + (5*t^8.95)/g1^66 - t^4.18/(g1^2*y) - t^6.34/(g1^26*y) - (2*t^6.44)/(g1^16*y) - (g1^14*t^6.74)/y + (2*t^7.43)/(g1^38*y) + t^7.52/(g1^28*y) + (2*t^7.62)/(g1^18*y) + (3*t^7.72)/(g1^8*y) + (2*g1^2*t^7.82)/y + (2*g1^12*t^7.92)/y + (2*g1^22*t^8.02)/y - t^8.51/(g1^50*y) - (2*t^8.61)/(g1^40*y) - t^8.7/(g1^30*y) + (6*t^8.8)/(g1^20*y) + (3*t^8.9)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.34*y)/g1^26 - (2*t^6.44*y)/g1^16 - g1^14*t^6.74*y + (2*t^7.43*y)/g1^38 + (t^7.52*y)/g1^28 + (2*t^7.62*y)/g1^18 + (3*t^7.72*y)/g1^8 + 2*g1^2*t^7.82*y + 2*g1^12*t^7.92*y + 2*g1^22*t^8.02*y - (t^8.51*y)/g1^50 - (2*t^8.61*y)/g1^40 - (t^8.7*y)/g1^30 + (6*t^8.8*y)/g1^20 + (3*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4260 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_1$ | 0.5731 | 0.7033 | 0.8149 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.1667, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 3521/6144, c: 4321/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 7/6, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1217 | 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_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6327 | 0.784 | 0.807 | [X:[], M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | t^2.21 + t^2.29 + t^2.45 + t^2.52 + 2*t^3.55 + 2*t^3.63 + t^3.71 + t^4.43 + t^4.51 + t^4.58 + t^4.66 + 2*t^4.74 + 2*t^4.82 + t^4.89 + t^4.97 + t^5.05 + 2*t^5.77 + 3*t^5.85 + t^5.92 - t^4.18/y - t^4.18*y | detail |