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 |
|---|---|---|---|---|---|---|---|---|---|
| 4370 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6862 | 0.8793 | 0.7804 | [X:[], M:[0.7638, 1.0246, 1.1871, 1.138, 0.8129, 0.862, 0.8129, 0.7485], q:[0.4801, 0.7561], qb:[0.3819, 0.431], phi:[0.4877]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-10], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_8^2$, $ M_1M_8$, $ M_1^2$, $ M_5M_8$, $ M_7M_8$, $ M_1M_5$, $ M_1M_7$, $ M_6M_8$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_2M_8$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_5$, $ M_2M_7$, $ M_2M_6$, $ M_4M_8$, $ M_2q_1\tilde{q}_2$ | . | -2 | t^2.25 + t^2.29 + 2*t^2.44 + t^2.59 + t^2.73 + t^3.07 + t^3.41 + t^3.9 + 2*t^4.05 + t^4.2 + t^4.34 + t^4.49 + t^4.54 + t^4.58 + 2*t^4.68 + 2*t^4.73 + t^4.83 + 4*t^4.88 + t^4.98 + 3*t^5.02 + 3*t^5.17 + 2*t^5.32 + t^5.36 + t^5.47 + 2*t^5.51 + 2*t^5.66 + t^5.81 - 2*t^6. + t^6.19 + t^6.29 + 3*t^6.34 + t^6.44 + 5*t^6.49 + t^6.59 + 4*t^6.64 + t^6.74 + 5*t^6.78 + t^6.87 + 4*t^6.93 + t^6.98 + 2*t^7.02 + 2*t^7.08 + 3*t^7.12 + 3*t^7.17 + t^7.22 + 3*t^7.27 + 5*t^7.32 + 3*t^7.42 + 4*t^7.46 + 2*t^7.56 + 4*t^7.61 + t^7.66 + t^7.71 + 4*t^7.76 + 2*t^7.8 + 4*t^7.91 + 4*t^7.95 + 2*t^8.05 + 4*t^8.1 - 2*t^8.14 + t^8.2 + 2*t^8.25 - 4*t^8.29 + 3*t^8.39 - 7*t^8.44 + t^8.48 + 3*t^8.54 - 4*t^8.59 + 3*t^8.63 + 2*t^8.69 - t^8.73 + 5*t^8.78 + t^8.83 + 2*t^8.88 + 7*t^8.93 + t^8.98 - t^4.46/y - t^6.71/y - t^6.75/y - t^6.9/y + t^7.54/y + (2*t^7.68)/y + (2*t^7.73)/y + t^7.83/y + (2*t^7.88)/y + t^7.98/y + (4*t^8.02)/y + (3*t^8.17)/y + t^8.22/y + (2*t^8.32)/y + t^8.36/y + (2*t^8.51)/y + (2*t^8.66)/y + t^8.71/y + t^8.81/y + (2*t^8.85)/y - t^8.95/y - t^4.46*y - t^6.71*y - t^6.75*y - t^6.9*y + t^7.54*y + 2*t^7.68*y + 2*t^7.73*y + t^7.83*y + 2*t^7.88*y + t^7.98*y + 4*t^8.02*y + 3*t^8.17*y + t^8.22*y + 2*t^8.32*y + t^8.36*y + 2*t^8.51*y + 2*t^8.66*y + t^8.71*y + t^8.81*y + 2*t^8.85*y - t^8.95*y | g1^40*t^2.25 + t^2.29/g1^34 + (2*t^2.44)/g1^10 + g1^14*t^2.59 + g1^38*t^2.73 + g1^12*t^3.07 + t^3.41/g1^14 + t^3.9/g1^16 + 2*g1^8*t^4.05 + g1^32*t^4.2 + g1^56*t^4.34 + g1^80*t^4.49 + g1^6*t^4.54 + t^4.58/g1^68 + 2*g1^30*t^4.68 + (2*t^4.73)/g1^44 + g1^54*t^4.83 + (4*t^4.88)/g1^20 + g1^78*t^4.98 + 3*g1^4*t^5.02 + 3*g1^28*t^5.17 + 2*g1^52*t^5.32 + t^5.36/g1^22 + g1^76*t^5.47 + 2*g1^2*t^5.51 + 2*g1^26*t^5.66 + g1^50*t^5.81 - 2*t^6. + t^6.19/g1^50 + g1^48*t^6.29 + (3*t^6.34)/g1^26 + g1^72*t^6.44 + (5*t^6.49)/g1^2 + g1^96*t^6.59 + 4*g1^22*t^6.64 + g1^120*t^6.74 + 5*g1^46*t^6.78 + t^6.87/g1^102 + 4*g1^70*t^6.93 + t^6.98/g1^4 + (2*t^7.02)/g1^78 + 2*g1^94*t^7.08 + 3*g1^20*t^7.12 + (3*t^7.17)/g1^54 + g1^118*t^7.22 + 3*g1^44*t^7.27 + (5*t^7.32)/g1^30 + 3*g1^68*t^7.42 + (4*t^7.46)/g1^6 + 2*g1^92*t^7.56 + 4*g1^18*t^7.61 + t^7.66/g1^56 + g1^116*t^7.71 + 4*g1^42*t^7.76 + (2*t^7.8)/g1^32 + 4*g1^66*t^7.91 + (4*t^7.95)/g1^8 + 2*g1^90*t^8.05 + 4*g1^16*t^8.1 - (2*t^8.14)/g1^58 + g1^114*t^8.2 + 2*g1^40*t^8.25 - (4*t^8.29)/g1^34 + 3*g1^64*t^8.39 - (7*t^8.44)/g1^10 + t^8.48/g1^84 + 3*g1^88*t^8.54 - 4*g1^14*t^8.59 + (3*t^8.63)/g1^60 + 2*g1^112*t^8.69 - g1^38*t^8.73 + (5*t^8.78)/g1^36 + g1^136*t^8.83 + 2*g1^62*t^8.88 + (7*t^8.93)/g1^12 + g1^160*t^8.98 - t^4.46/(g1^6*y) - (g1^34*t^6.71)/y - t^6.75/(g1^40*y) - t^6.9/(g1^16*y) + (g1^6*t^7.54)/y + (2*g1^30*t^7.68)/y + (2*t^7.73)/(g1^44*y) + (g1^54*t^7.83)/y + (2*t^7.88)/(g1^20*y) + (g1^78*t^7.98)/y + (4*g1^4*t^8.02)/y + (3*g1^28*t^8.17)/y + t^8.22/(g1^46*y) + (2*g1^52*t^8.32)/y + t^8.36/(g1^22*y) + (2*g1^2*t^8.51)/y + (2*g1^26*t^8.66)/y + t^8.71/(g1^48*y) + (g1^50*t^8.81)/y + (2*t^8.85)/(g1^24*y) - (g1^74*t^8.95)/y - (t^4.46*y)/g1^6 - g1^34*t^6.71*y - (t^6.75*y)/g1^40 - (t^6.9*y)/g1^16 + g1^6*t^7.54*y + 2*g1^30*t^7.68*y + (2*t^7.73*y)/g1^44 + g1^54*t^7.83*y + (2*t^7.88*y)/g1^20 + g1^78*t^7.98*y + 4*g1^4*t^8.02*y + 3*g1^28*t^8.17*y + (t^8.22*y)/g1^46 + 2*g1^52*t^8.32*y + (t^8.36*y)/g1^22 + 2*g1^2*t^8.51*y + 2*g1^26*t^8.66*y + (t^8.71*y)/g1^48 + g1^50*t^8.81*y + (2*t^8.85*y)/g1^24 - g1^74*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 5833 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_9$ | 0.6742 | 0.8581 | 0.7856 | [X:[], M:[0.7534, 1.0282, 1.1902, 1.1338, 0.8098, 0.8662, 0.8098, 0.7607, 1.1338], q:[0.4895, 0.757], qb:[0.3767, 0.4331], phi:[0.4859]] | t^2.26 + t^2.28 + 2*t^2.43 + t^2.77 + t^3.08 + 2*t^3.4 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.39 + t^4.52 + t^4.54 + t^4.56 + 2*t^4.69 + 2*t^4.71 + 3*t^4.86 + t^5.03 + t^5.05 + 2*t^5.2 + t^5.34 + t^5.37 + 2*t^5.51 + t^5.54 + t^5.66 + 2*t^5.68 + 2*t^5.83 + t^5.85 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 5832 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_1X_1$ | 0.6028 | 0.7528 | 0.8007 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 0.75, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | 2*t^2.25 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.45 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^5.1 + 2*t^5.25 + t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 77157/128000, c: 96357/128000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 3/4, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
| 5834 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7068 | 0.9189 | 0.7692 | [X:[], M:[0.7663, 1.0237, 1.1864, 1.1391, 0.8136, 0.8609, 0.8136, 0.7456, 0.6982], q:[0.4778, 0.7559], qb:[0.3831, 0.4305], phi:[0.4882]] | t^2.09 + t^2.24 + t^2.3 + 2*t^2.44 + t^2.58 + t^2.72 + t^3.07 + t^3.42 + 2*t^4.05 + 2*t^4.19 + 2*t^4.33 + t^4.39 + t^4.47 + 3*t^4.54 + t^4.6 + 3*t^4.68 + 2*t^4.74 + 2*t^4.82 + 4*t^4.88 + t^4.96 + 3*t^5.02 + 4*t^5.17 + 2*t^5.31 + t^5.37 + t^5.45 + 3*t^5.51 + 2*t^5.65 + t^5.8 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*y | detail |