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 |
|---|---|---|---|---|---|---|---|---|---|
| 2245 | 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6847 | 0.8767 | 0.781 | [X:[], M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | [X:[], M:[[-6], [-14], [6], [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 |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_7q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -2 | t^2.14 + t^2.25 + 2*t^2.36 + 3*t^2.46 + t^3.43 + t^3.75 + t^4.28 + t^4.39 + 3*t^4.5 + 5*t^4.61 + 6*t^4.71 + 7*t^4.82 + 6*t^4.93 + t^5.57 + t^5.68 + t^5.78 + 2*t^5.89 - 2*t^6. + 2*t^6.22 + t^6.42 + t^6.53 + 3*t^6.64 + 6*t^6.75 + 9*t^6.85 + 12*t^6.96 + 14*t^7.07 + 14*t^7.18 + 10*t^7.29 + 7*t^7.39 + t^7.71 + t^7.82 + 2*t^7.92 + 3*t^8.03 - 3*t^8.25 - 5*t^8.36 - 10*t^8.46 + t^8.56 - 3*t^8.57 + t^8.67 + 2*t^8.68 + 3*t^8.78 + 6*t^8.89 - t^4.18/y - t^6.32/y - t^6.43/y - (2*t^6.54)/y - (2*t^6.64)/y + t^7.39/y + (2*t^7.5)/y + (5*t^7.61)/y + (6*t^7.71)/y + (8*t^7.82)/y + (4*t^7.93)/y + t^8.04/y - t^8.46/y - (2*t^8.68)/y - (2*t^8.78)/y - t^8.89/y - t^4.18*y - t^6.32*y - t^6.43*y - 2*t^6.54*y - 2*t^6.64*y + t^7.39*y + 2*t^7.5*y + 5*t^7.61*y + 6*t^7.71*y + 8*t^7.82*y + 4*t^7.93*y + t^8.04*y - t^8.46*y - 2*t^8.68*y - 2*t^8.78*y - t^8.89*y | t^2.14/g1^24 + t^2.25/g1^14 + (2*t^2.36)/g1^4 + 3*g1^6*t^2.46 + t^3.43/g1^16 + g1^14*t^3.75 + t^4.28/g1^48 + t^4.39/g1^38 + (3*t^4.5)/g1^28 + (5*t^4.61)/g1^18 + (6*t^4.71)/g1^8 + 7*g1^2*t^4.82 + 6*g1^12*t^4.93 + t^5.57/g1^40 + t^5.68/g1^30 + t^5.78/g1^20 + (2*t^5.89)/g1^10 - 2*t^6. + 2*g1^20*t^6.22 + t^6.42/g1^72 + t^6.53/g1^62 + (3*t^6.64)/g1^52 + (6*t^6.75)/g1^42 + (9*t^6.85)/g1^32 + (12*t^6.96)/g1^22 + (14*t^7.07)/g1^12 + (14*t^7.18)/g1^2 + 10*g1^8*t^7.29 + 7*g1^18*t^7.39 + t^7.71/g1^64 + t^7.82/g1^54 + (2*t^7.92)/g1^44 + (3*t^8.03)/g1^34 - (3*t^8.25)/g1^14 - (5*t^8.36)/g1^4 - 10*g1^6*t^8.46 + t^8.56/g1^96 - 3*g1^16*t^8.57 + t^8.67/g1^86 + 2*g1^26*t^8.68 + (3*t^8.78)/g1^76 + (6*t^8.89)/g1^66 - t^4.18/(g1^2*y) - t^6.32/(g1^26*y) - t^6.43/(g1^16*y) - (2*t^6.54)/(g1^6*y) - (2*g1^4*t^6.64)/y + t^7.39/(g1^38*y) + (2*t^7.5)/(g1^28*y) + (5*t^7.61)/(g1^18*y) + (6*t^7.71)/(g1^8*y) + (8*g1^2*t^7.82)/y + (4*g1^12*t^7.93)/y + (g1^22*t^8.04)/y - t^8.46/(g1^50*y) - (2*t^8.68)/(g1^30*y) - (2*t^8.78)/(g1^20*y) - t^8.89/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.32*y)/g1^26 - (t^6.43*y)/g1^16 - (2*t^6.54*y)/g1^6 - 2*g1^4*t^6.64*y + (t^7.39*y)/g1^38 + (2*t^7.5*y)/g1^28 + (5*t^7.61*y)/g1^18 + (6*t^7.71*y)/g1^8 + 8*g1^2*t^7.82*y + 4*g1^12*t^7.93*y + g1^22*t^8.04*y - (t^8.46*y)/g1^50 - (2*t^8.68*y)/g1^30 - (2*t^8.78*y)/g1^20 - (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4242 | $\phi_1q_1^2$ + $ 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ | 0.6126 | 0.787 | 0.7785 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + 2*t^2.53 + t^2.84 + 2*t^3.16 + t^4.11 + 6*t^4.42 + 7*t^4.74 + 6*t^5.05 + 7*t^5.37 + 3*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 67233/109744, c: 43183/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 16/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4244 | $\phi_1q_1^2$ + $ 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_8$ | 0.6658 | 0.8419 | 0.7909 | [X:[], M:[1.1831, 0.7605, 0.8169, 0.8169, 0.8169, 0.7887, 0.7323, 1.2395], q:[0.8028, 0.4367], qb:[0.3803, 0.8028], phi:[0.3944]] | t^2.2 + 2*t^2.37 + 3*t^2.45 + t^3.46 + 2*t^3.72 + t^4.39 + 2*t^4.56 + 3*t^4.65 + 3*t^4.73 + 7*t^4.82 + 6*t^4.9 + t^5.66 + t^5.83 + 3*t^5.92 - 3*t^6. - t^4.18/y - t^4.18*y | detail | |
| 4241 | $\phi_1q_1^2$ + $ 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6322 | 0.8092 | 0.7812 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^4. + 6*t^4.5 + 7*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 971/1536, c: 1243/1536, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4245 | $\phi_1q_1^2$ + $ 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8q_1q_2$ | 0.7039 | 0.9129 | 0.7711 | [X:[], M:[1.1746, 0.7408, 0.8254, 0.8254, 0.8254, 0.7831, 0.6985, 0.7408], q:[0.8042, 0.455], qb:[0.3704, 0.8042], phi:[0.3915]] | t^2.1 + 2*t^2.22 + 2*t^2.35 + 3*t^2.48 + t^3.4 + t^4.19 + 2*t^4.32 + 5*t^4.44 + 7*t^4.57 + 9*t^4.7 + 7*t^4.83 + 6*t^4.95 + t^5.49 + 2*t^5.62 + t^5.75 + t^5.87 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1215 | 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_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6647 | 0.8391 | 0.7922 | [X:[], M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | t^2.29 + 2*t^2.37 + 3*t^2.45 + t^3.48 + t^3.71 + t^3.78 + t^4.59 + 2*t^4.66 + 6*t^4.74 + 7*t^4.82 + 6*t^4.89 + t^5.77 + t^5.85 + t^5.92 - 2*t^6. - t^4.18/y - t^4.18*y | detail |