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 |
|---|---|---|---|---|---|---|---|---|---|
| 4135 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.6943 | 0.8842 | 0.7852 | [X:[], M:[0.9612, 1.0889, 1.1389, 0.8611, 0.6833, 1.0889, 0.6833, 0.7334], q:[0.7722, 0.5444], qb:[0.4944, 0.3667], phi:[0.4556]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-4], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_8$, $ M_4$, $ M_1$, $ M_2$, $ M_6$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_4M_8$, $ M_1M_5$, $ M_1M_7$, $ M_1M_8$, $ M_4^2$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1M_4$, $ M_3M_5$, $ M_3M_7$, $ M_2M_8$, $ M_6M_8$, $ M_3M_8$, $ M_5\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_8\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_6$ | . | -2 | 2*t^2.05 + t^2.2 + t^2.58 + t^2.88 + 2*t^3.27 + t^3.42 + t^3.57 + 4*t^4.1 + 2*t^4.25 + t^4.33 + t^4.4 + t^4.48 + 3*t^4.63 + t^4.78 + 2*t^4.93 + t^5.08 + t^5.17 + 4*t^5.32 + 4*t^5.47 + 2*t^5.62 + 2*t^5.77 + t^5.85 - 2*t^6. + 7*t^6.15 + 5*t^6.3 + t^6.38 + 3*t^6.45 + 3*t^6.53 + t^6.6 + 6*t^6.68 + 3*t^6.83 + t^6.92 + 5*t^6.98 + 3*t^7.13 + t^7.28 + 6*t^7.37 + 7*t^7.52 + t^7.6 + 6*t^7.67 + t^7.75 + 4*t^7.82 + t^7.9 + 2*t^7.97 - 4*t^8.05 + 8*t^8.2 - t^8.28 + 9*t^8.35 + 6*t^8.5 + t^8.58 + 4*t^8.65 + t^8.67 + 10*t^8.73 + t^8.8 + t^8.82 + 2*t^8.88 + 2*t^8.97 - t^4.37/y - (2*t^6.42)/y - t^6.57/y + (2*t^7.1)/y + t^7.25/y + t^7.48/y + t^7.63/y + t^7.78/y + (2*t^7.93)/y + t^8.08/y + t^8.17/y + (6*t^8.32)/y + (2*t^8.47)/y + t^8.62/y + (2*t^8.85)/y - t^4.37*y - 2*t^6.42*y - t^6.57*y + 2*t^7.1*y + t^7.25*y + t^7.48*y + t^7.63*y + t^7.78*y + 2*t^7.93*y + t^8.08*y + t^8.17*y + 6*t^8.32*y + 2*t^8.47*y + t^8.62*y + 2*t^8.85*y | 2*g1^3*t^2.05 + g1^12*t^2.2 + t^2.58/g1^5 + g1^13*t^2.88 + (2*t^3.27)/g1^4 + g1^5*t^3.42 + g1^14*t^3.57 + 4*g1^6*t^4.1 + 2*g1^15*t^4.25 + t^4.33/g1^20 + g1^24*t^4.4 + t^4.48/g1^11 + (3*t^4.63)/g1^2 + g1^7*t^4.78 + 2*g1^16*t^4.93 + g1^25*t^5.08 + t^5.17/g1^10 + (4*t^5.32)/g1 + 4*g1^8*t^5.47 + 2*g1^17*t^5.62 + 2*g1^26*t^5.77 + t^5.85/g1^9 - 2*t^6. + 7*g1^9*t^6.15 + 5*g1^18*t^6.3 + t^6.38/g1^17 + 3*g1^27*t^6.45 + (3*t^6.53)/g1^8 + g1^36*t^6.6 + 6*g1*t^6.68 + 3*g1^10*t^6.83 + t^6.92/g1^25 + 5*g1^19*t^6.98 + 3*g1^28*t^7.13 + g1^37*t^7.28 + 6*g1^2*t^7.37 + 7*g1^11*t^7.52 + t^7.6/g1^24 + 6*g1^20*t^7.67 + t^7.75/g1^15 + 4*g1^29*t^7.82 + t^7.9/g1^6 + 2*g1^38*t^7.97 - 4*g1^3*t^8.05 + 8*g1^12*t^8.2 - t^8.28/g1^23 + 9*g1^21*t^8.35 + 6*g1^30*t^8.5 + t^8.58/g1^5 + 4*g1^39*t^8.65 + t^8.67/g1^40 + 10*g1^4*t^8.73 + g1^48*t^8.8 + t^8.82/g1^31 + 2*g1^13*t^8.88 + (2*t^8.97)/g1^22 - (g1^2*t^4.37)/y - (2*g1^5*t^6.42)/y - (g1^14*t^6.57)/y + (2*g1^6*t^7.1)/y + (g1^15*t^7.25)/y + t^7.48/(g1^11*y) + t^7.63/(g1^2*y) + (g1^7*t^7.78)/y + (2*g1^16*t^7.93)/y + (g1^25*t^8.08)/y + t^8.17/(g1^10*y) + (6*t^8.32)/(g1*y) + (2*g1^8*t^8.47)/y + (g1^17*t^8.62)/y + (2*t^8.85)/(g1^9*y) - g1^2*t^4.37*y - 2*g1^5*t^6.42*y - g1^14*t^6.57*y + 2*g1^6*t^7.1*y + g1^15*t^7.25*y + (t^7.48*y)/g1^11 + (t^7.63*y)/g1^2 + g1^7*t^7.78*y + 2*g1^16*t^7.93*y + g1^25*t^8.08*y + (t^8.17*y)/g1^10 + (6*t^8.32*y)/g1 + 2*g1^8*t^8.47*y + g1^17*t^8.62*y + (2*t^8.85*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5638 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ + $ M_1M_8$ | 0.6666 | 0.8466 | 0.7874 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.72, 1.04, 0.72, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 2*t^2.16 + t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + 2*t^3.6 + 2*t^4.08 + 4*t^4.32 + 3*t^4.56 + 3*t^4.8 + t^5.04 + 5*t^5.28 + 3*t^5.52 + 5*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 41661/62500, c: 52911/62500, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 18/25, M6: 26/25, M7: 18/25, M8: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 5643 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.711 | 0.9128 | 0.7789 | [X:[], M:[0.9871, 1.0809, 1.1489, 0.8511, 0.6893, 1.0809, 0.6893, 0.7573, 0.7831], q:[0.7702, 0.5404], qb:[0.4724, 0.3787], phi:[0.4596]] | 2*t^2.07 + t^2.27 + t^2.35 + t^2.55 + t^2.96 + 2*t^3.24 + t^3.45 + 4*t^4.14 + t^4.21 + 2*t^4.34 + 3*t^4.42 + t^4.54 + 4*t^4.62 + t^4.7 + t^4.83 + t^4.9 + 2*t^5.03 + t^5.11 + t^5.23 + 5*t^5.31 + 4*t^5.51 + 2*t^5.59 + 2*t^5.8 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2159 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ | 0.6748 | 0.848 | 0.7958 | [X:[], M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | 2*t^2.06 + t^2.56 + t^2.93 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.26 + t^4.44 + 3*t^4.63 + 2*t^4.99 + t^5.13 + 4*t^5.31 + 2*t^5.5 + t^5.68 + 3*t^5.82 + t^5.87 - 2*t^6. - t^4.37/y - t^4.37*y | detail |