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 |
|---|---|---|---|---|---|---|---|---|---|
| 53305 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6503 | 0.8152 | 0.7977 | [X:[], M:[1.2019, 1.0329, 0.7981, 0.8826, 1.1174, 0.723], q:[0.4413, 0.3568], qb:[0.5258, 0.7606], phi:[0.4789]] | [X:[], M:[[10], [-38], [-10], [14], [-14], [16]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_6\phi_1q_2^2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_3\phi_1q_2^2$ | . | -1 | t^2.17 + t^2.39 + t^2.65 + t^2.87 + t^3.1 + t^3.35 + t^3.58 + t^3.61 + t^3.86 + 2*t^4.08 + 2*t^4.34 + t^4.56 + t^4.59 + t^4.79 + t^4.82 + 2*t^5.04 + 2*t^5.27 + t^5.3 + 2*t^5.52 + 2*t^5.75 + t^5.77 + 2*t^5.97 - t^6. + t^6.03 + t^6.2 + t^6.23 + t^6.25 + 2*t^6.45 + t^6.48 + 2*t^6.51 + t^6.68 + 3*t^6.73 + t^6.76 + 3*t^6.96 + 2*t^6.99 + t^7.16 + t^7.18 + 2*t^7.21 + t^7.24 + 3*t^7.44 + 2*t^7.46 + 2*t^7.66 + 3*t^7.69 + 2*t^7.92 + 3*t^7.94 + 2*t^8.14 + t^8.17 + 2*t^8.2 + 2*t^8.37 + t^8.42 + t^8.45 + 3*t^8.62 - 2*t^8.65 + 4*t^8.68 + 3*t^8.85 - t^8.87 + t^8.9 + 2*t^8.93 - t^4.44/y - t^6.61/y - t^7.31/y + t^7.34/y - t^7.54/y + (2*t^7.56)/y + t^7.82/y + (2*t^8.04)/y + (3*t^8.27)/y + t^8.49/y + (2*t^8.52)/y + (3*t^8.75)/y + (2*t^8.97)/y - t^4.44*y - t^6.61*y - t^7.31*y + t^7.34*y - t^7.54*y + 2*t^7.56*y + t^7.82*y + 2*t^8.04*y + 3*t^8.27*y + t^8.49*y + 2*t^8.52*y + 3*t^8.75*y + 2*t^8.97*y | g1^16*t^2.17 + t^2.39/g1^10 + g1^14*t^2.65 + t^2.87/g1^12 + t^3.1/g1^38 + t^3.35/g1^14 + t^3.58/g1^40 + g1^10*t^3.61 + g1^34*t^3.86 + 2*g1^8*t^4.08 + 2*g1^32*t^4.34 + g1^6*t^4.56 + g1^56*t^4.59 + t^4.79/g1^20 + g1^30*t^4.82 + 2*g1^4*t^5.04 + (2*t^5.27)/g1^22 + g1^28*t^5.3 + 2*g1^2*t^5.52 + (2*t^5.75)/g1^24 + g1^26*t^5.77 + (2*t^5.97)/g1^50 - t^6. + g1^50*t^6.03 + t^6.2/g1^76 + t^6.23/g1^26 + g1^24*t^6.25 + (2*t^6.45)/g1^52 + t^6.48/g1^2 + 2*g1^48*t^6.51 + t^6.68/g1^78 + 3*g1^22*t^6.73 + g1^72*t^6.76 + (3*t^6.96)/g1^4 + 2*g1^46*t^6.99 + t^7.16/g1^80 + t^7.18/g1^30 + 2*g1^20*t^7.21 + g1^70*t^7.24 + (3*t^7.44)/g1^6 + 2*g1^44*t^7.46 + (2*t^7.66)/g1^32 + 3*g1^18*t^7.69 + (2*t^7.92)/g1^8 + 3*g1^42*t^7.94 + (2*t^8.14)/g1^34 + g1^16*t^8.17 + 2*g1^66*t^8.2 + (2*t^8.37)/g1^60 + g1^40*t^8.42 + g1^90*t^8.45 + (3*t^8.62)/g1^36 - 2*g1^14*t^8.65 + 4*g1^64*t^8.68 + (3*t^8.85)/g1^62 - t^8.87/g1^12 + g1^38*t^8.9 + 2*g1^88*t^8.93 - t^4.44/(g1^6*y) - (g1^10*t^6.61)/y - t^7.31/(g1^18*y) + (g1^32*t^7.34)/y - t^7.54/(g1^44*y) + (2*g1^6*t^7.56)/y + (g1^30*t^7.82)/y + (2*g1^4*t^8.04)/y + (3*t^8.27)/(g1^22*y) + t^8.49/(g1^48*y) + (2*g1^2*t^8.52)/y + (3*t^8.75)/(g1^24*y) + (2*t^8.97)/(g1^50*y) - (t^4.44*y)/g1^6 - g1^10*t^6.61*y - (t^7.31*y)/g1^18 + g1^32*t^7.34*y - (t^7.54*y)/g1^44 + 2*g1^6*t^7.56*y + g1^30*t^7.82*y + 2*g1^4*t^8.04*y + (3*t^8.27*y)/g1^22 + (t^8.49*y)/g1^48 + 2*g1^2*t^8.52*y + (3*t^8.75*y)/g1^24 + (2*t^8.97*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56460 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.667 | 0.8445 | 0.7898 | [X:[], M:[1.2043, 1.0236, 0.7957, 0.886, 1.114, 0.7269, 0.7957], q:[0.443, 0.3527], qb:[0.5334, 0.7613], phi:[0.4774]] | t^2.18 + 2*t^2.39 + t^2.66 + t^2.86 + t^3.07 + t^3.34 + t^3.55 + t^3.88 + 2*t^4.09 + 2*t^4.36 + 2*t^4.57 + t^4.63 + 3*t^4.77 + t^4.84 + 3*t^5.05 + 3*t^5.25 + t^5.32 + t^5.46 + 2*t^5.52 + 3*t^5.73 + 3*t^5.94 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 56456 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_2\phi_1^2$ | 0.6502 | 0.8152 | 0.7976 | [X:[], M:[1.2, 1.04, 0.8, 0.88, 1.12, 0.72], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | t^2.16 + t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 2*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 3*t^5.76 + 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 81279/125000, c: 12738/15625, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 28/25, M6: 18/25, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
| 56457 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ | 0.64 | 0.7978 | 0.8023 | [X:[], M:[1.2067, 1.0144, 0.7933, 0.8894, 1.1106, 0.7308, 1.1106], q:[0.4447, 0.3485], qb:[0.5409, 0.762], phi:[0.476]] | t^2.19 + t^2.38 + t^2.86 + t^3.04 + 2*t^3.33 + t^3.52 + t^3.62 + t^3.91 + 2*t^4.1 + 2*t^4.38 + t^4.57 + t^4.67 + t^4.76 + t^5.05 + 2*t^5.24 + 2*t^5.52 + 2*t^5.71 + t^5.81 + 2*t^5.9 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 56459 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5M_7$ | 0.6611 | 0.834 | 0.7927 | [X:[], M:[1.1972, 1.0508, 0.8028, 0.876, 1.124, 0.7155, 0.876], q:[0.438, 0.3648], qb:[0.5112, 0.7591], phi:[0.4817]] | t^2.15 + t^2.41 + 2*t^2.63 + t^2.89 + t^3.15 + t^3.59 + t^3.63 + t^3.81 + 2*t^4.07 + 2*t^4.29 + t^4.51 + t^4.55 + 2*t^4.77 + t^4.82 + 3*t^5.04 + 3*t^5.26 + 2*t^5.3 + 2*t^5.52 + t^5.74 + 2*t^5.78 + t^5.96 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56458 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6466 | 0.8094 | 0.7988 | [X:[], M:[1.1972, 1.0505, 0.8028, 0.8761, 1.1239, 0.7156, 1.0367], q:[0.4381, 0.3647], qb:[0.5114, 0.7592], phi:[0.4817]] | t^2.15 + t^2.41 + t^2.63 + t^3.11 + t^3.15 + t^3.37 + t^3.59 + t^3.63 + t^3.81 + 2*t^4.07 + 2*t^4.29 + t^4.51 + t^4.56 + t^4.78 + t^4.82 + t^5.04 + 2*t^5.26 + t^5.3 + 2*t^5.52 + 2*t^5.74 + t^5.78 + t^5.96 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 56461 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6706 | 0.8539 | 0.7854 | [X:[], M:[1.2047, 1.0222, 0.7953, 0.8866, 1.1134, 0.7275, 0.7041], q:[0.4433, 0.352], qb:[0.5345, 0.7614], phi:[0.4772]] | t^2.11 + t^2.18 + t^2.39 + t^2.66 + t^2.86 + t^3.07 + t^3.34 + t^3.54 + t^3.61 + 2*t^4.09 + t^4.22 + t^4.29 + 2*t^4.36 + t^4.5 + t^4.57 + t^4.64 + 2*t^4.77 + t^4.84 + t^4.98 + 2*t^5.05 + t^5.18 + 2*t^5.25 + t^5.32 + t^5.45 + 2*t^5.52 + t^5.66 + 3*t^5.73 + t^5.8 + 2*t^5.93 - t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47054 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. - t^4.43/y - t^4.43*y | detail |