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 |
|---|---|---|---|---|---|---|---|---|---|
| 52426 | 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_2^2$ | 0.6471 | 0.8081 | 0.8007 | [X:[], M:[1.1947, 1.0602, 0.8053, 0.8726, 1.1274, 0.7788], q:[0.4363, 0.369], qb:[0.5035, 0.7584], phi:[0.4832]] | [X:[], M:[[10], [-38], [-10], [14], [-14], [40]], 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$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_3M_6$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_5M_6$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1M_6$ | . | -1 | t^2.34 + t^2.42 + t^2.62 + t^2.9 + t^3.18 + t^3.38 + t^3.58 + t^3.79 + t^3.87 + 2*t^4.07 + t^4.27 + t^4.47 + t^4.67 + t^4.75 + t^4.83 + t^4.95 + t^5.03 + 2*t^5.24 + t^5.32 + 2*t^5.52 + t^5.72 + t^5.8 + t^5.92 - t^6. + t^6.08 + t^6.12 + t^6.28 + t^6.36 + 2*t^6.4 + 2*t^6.48 + t^6.56 + t^6.61 + 2*t^6.68 + t^6.76 + t^6.81 + t^6.89 + 2*t^6.97 + t^7.01 + 2*t^7.09 + t^7.17 + t^7.25 + t^7.29 + 2*t^7.37 + t^7.45 + 2*t^7.57 + 3*t^7.65 + t^7.73 + 4*t^7.85 + t^7.93 + 2*t^8.05 + 3*t^8.13 + 2*t^8.26 + t^8.46 + 2*t^8.54 - 2*t^8.62 + 2*t^8.7 + 3*t^8.74 + 2*t^8.94 + t^8.98 - t^4.45/y - t^6.79/y + t^7.27/y - t^7.35/y + t^7.55/y - t^7.63/y + t^7.75/y + t^7.95/y + t^8.03/y + t^8.11/y + t^8.24/y + t^8.32/y + (2*t^8.52)/y + t^8.6/y + t^8.72/y + (2*t^8.8)/y + t^8.92/y - t^4.45*y - t^6.79*y + t^7.27*y - t^7.35*y + t^7.55*y - t^7.63*y + t^7.75*y + t^7.95*y + t^8.03*y + t^8.11*y + t^8.24*y + t^8.32*y + 2*t^8.52*y + t^8.6*y + t^8.72*y + 2*t^8.8*y + t^8.92*y | g1^40*t^2.34 + t^2.42/g1^10 + g1^14*t^2.62 + t^2.9/g1^12 + t^3.18/g1^38 + t^3.38/g1^14 + g1^10*t^3.58 + g1^34*t^3.79 + t^3.87/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.27 + g1^56*t^4.47 + g1^80*t^4.67 + g1^30*t^4.75 + t^4.83/g1^20 + g1^54*t^4.95 + g1^4*t^5.03 + 2*g1^28*t^5.24 + t^5.32/g1^22 + 2*g1^2*t^5.52 + g1^26*t^5.72 + t^5.8/g1^24 + g1^50*t^5.92 - t^6. + t^6.08/g1^50 + g1^74*t^6.12 + t^6.28/g1^26 + t^6.36/g1^76 + 2*g1^48*t^6.4 + (2*t^6.48)/g1^2 + t^6.56/g1^52 + g1^72*t^6.61 + 2*g1^22*t^6.68 + t^6.76/g1^28 + g1^96*t^6.81 + g1^46*t^6.89 + (2*t^6.97)/g1^4 + g1^120*t^7.01 + 2*g1^70*t^7.09 + g1^20*t^7.17 + t^7.25/g1^30 + g1^94*t^7.29 + 2*g1^44*t^7.37 + t^7.45/g1^6 + 2*g1^68*t^7.57 + 3*g1^18*t^7.65 + t^7.73/g1^32 + 4*g1^42*t^7.85 + t^7.93/g1^8 + 2*g1^66*t^8.05 + 3*g1^16*t^8.13 + 2*g1^90*t^8.26 + g1^114*t^8.46 + 2*g1^64*t^8.54 - 2*g1^14*t^8.62 + (2*t^8.7)/g1^36 + 3*g1^88*t^8.74 + 2*g1^112*t^8.94 + t^8.98/g1^62 - t^4.45/(g1^6*y) - (g1^34*t^6.79)/y + (g1^32*t^7.27)/y - t^7.35/(g1^18*y) + (g1^6*t^7.55)/y - t^7.63/(g1^44*y) + (g1^30*t^7.75)/y + (g1^54*t^7.95)/y + (g1^4*t^8.03)/y + t^8.11/(g1^46*y) + (g1^28*t^8.24)/y + t^8.32/(g1^22*y) + (2*g1^2*t^8.52)/y + t^8.6/(g1^48*y) + (g1^26*t^8.72)/y + (2*t^8.8)/(g1^24*y) + (g1^50*t^8.92)/y - (t^4.45*y)/g1^6 - g1^34*t^6.79*y + g1^32*t^7.27*y - (t^7.35*y)/g1^18 + g1^6*t^7.55*y - (t^7.63*y)/g1^44 + g1^30*t^7.75*y + g1^54*t^7.95*y + g1^4*t^8.03*y + (t^8.11*y)/g1^46 + g1^28*t^8.24*y + (t^8.32*y)/g1^22 + 2*g1^2*t^8.52*y + (t^8.6*y)/g1^48 + g1^26*t^8.72*y + (2*t^8.8*y)/g1^24 + g1^50*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 56340 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_1M_6$ | 0.6467 | 0.8067 | 0.8017 | [X:[], M:[1.2, 1.04, 0.8, 0.88, 1.12, 0.8], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 10104/15625, c: 12604/15625, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 28/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
| 56346 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_1M_7$ | 0.6633 | 0.8362 | 0.7932 | [X:[], M:[1.1968, 1.0521, 0.8032, 0.8756, 1.1244, 0.7873, 0.8032], q:[0.4378, 0.3654], qb:[0.5102, 0.759], phi:[0.4819]] | t^2.36 + 2*t^2.41 + t^2.63 + t^2.89 + t^3.16 + t^3.37 + t^3.81 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.51 + t^4.72 + 2*t^4.77 + 3*t^4.82 + t^4.99 + 2*t^5.04 + 2*t^5.25 + 2*t^5.3 + 2*t^5.52 + t^5.57 + t^5.74 + 2*t^5.78 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56338 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_4M_6$ | 0.5917 | 0.7398 | 0.7998 | [X:[], M:[1.2593, 0.8148, 0.7407, 0.963, 1.037, 1.037], q:[0.4815, 0.2593], qb:[0.7037, 0.7778], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.67 + t^2.89 + 2*t^3.11 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 3*t^4.89 + 2*t^5.11 + 2*t^5.33 + 4*t^5.56 + 3*t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 1294/2187, c: 1618/2187, M1: 34/27, M2: 22/27, M3: 20/27, M4: 26/27, M5: 28/27, M6: 28/27, q1: 13/27, q2: 7/27, qb1: 19/27, qb2: 7/9, phi1: 4/9} |
| 56341 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_4M_7$ | 0.6359 | 0.7886 | 0.8064 | [X:[], M:[1.1987, 1.045, 0.8013, 0.8782, 1.1218, 0.7947, 1.1218], q:[0.4391, 0.3622], qb:[0.5159, 0.7596], phi:[0.4808]] | t^2.38 + t^2.4 + t^2.88 + t^3.14 + 2*t^3.37 + t^3.6 + t^3.83 + t^3.85 + 2*t^4.08 + t^4.31 + t^4.54 + t^4.77 + t^4.79 + t^4.81 + t^5.27 + t^5.29 + t^5.52 + 2*t^5.75 + t^5.77 + t^5.98 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 56339 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_5M_6$ | 0.6292 | 0.783 | 0.8035 | [X:[], M:[1.2308, 0.9231, 0.7692, 0.9231, 1.0769, 0.9231], q:[0.4615, 0.3077], qb:[0.6154, 0.7692], phi:[0.4615]] | t^2.31 + 4*t^2.77 + t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 4*t^5.08 + 9*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 5529/8788, c: 6881/8788, M1: 16/13, M2: 12/13, M3: 10/13, M4: 12/13, M5: 14/13, M6: 12/13, q1: 6/13, q2: 4/13, qb1: 8/13, qb2: 10/13, phi1: 6/13} |
| 56344 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_5M_7$ | 0.6586 | 0.8288 | 0.7947 | [X:[], M:[1.1909, 1.0747, 0.8091, 0.8672, 1.1328, 0.7635, 0.8672], q:[0.4336, 0.3755], qb:[0.4917, 0.7573], phi:[0.4855]] | t^2.29 + t^2.43 + 2*t^2.6 + t^2.91 + t^3.22 + t^3.57 + t^3.75 + t^3.88 + 2*t^4.06 + t^4.23 + t^4.41 + t^4.58 + t^4.72 + t^4.85 + 2*t^4.89 + 2*t^5.03 + 4*t^5.2 + t^5.34 + 3*t^5.51 + t^5.83 + t^5.86 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 56336 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_6^2$ | 0.606 | 0.756 | 0.8016 | [X:[], M:[1.25, 0.85, 0.75, 0.95, 1.05, 1.0], q:[0.475, 0.275], qb:[0.675, 0.775], phi:[0.45]] | t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 38781/64000, c: 48381/64000, M1: 5/4, M2: 17/20, M3: 3/4, M4: 19/20, M5: 21/20, M6: 1, q1: 19/40, q2: 11/40, qb1: 27/40, qb2: 31/40, phi1: 9/20} |
| 56349 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6674 | 0.8468 | 0.7881 | [X:[], M:[1.1934, 1.0649, 0.8066, 0.8708, 1.1292, 0.7738, 0.7095], q:[0.4354, 0.3712], qb:[0.4997, 0.758], phi:[0.4839]] | t^2.13 + t^2.32 + t^2.42 + t^2.61 + t^2.9 + t^3.19 + t^3.39 + t^3.58 + t^3.77 + 2*t^4.06 + 2*t^4.26 + 2*t^4.45 + t^4.55 + t^4.64 + 2*t^4.74 + t^4.84 + t^4.93 + 2*t^5.03 + 2*t^5.22 + 2*t^5.32 + 3*t^5.52 + 2*t^5.71 + t^5.81 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 56342 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\phi_1^2$ | 0.6441 | 0.8042 | 0.801 | [X:[], M:[1.1908, 1.0748, 0.8092, 0.8672, 1.1328, 0.7633, 1.029], q:[0.4336, 0.3756], qb:[0.4916, 0.7572], phi:[0.4855]] | t^2.29 + t^2.43 + t^2.6 + t^3.09 + t^3.22 + t^3.4 + t^3.57 + t^3.75 + t^3.88 + 2*t^4.06 + t^4.23 + t^4.41 + t^4.58 + t^4.72 + t^4.86 + t^4.89 + t^5.03 + t^5.2 + t^5.38 + 2*t^5.51 + 2*t^5.69 + t^5.86 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 56348 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6668 | 0.8443 | 0.7898 | [X:[], M:[1.1983, 1.0464, 0.8017, 0.8776, 1.1224, 0.7932, 0.7258], q:[0.4388, 0.3629], qb:[0.5147, 0.7595], phi:[0.481]] | t^2.18 + t^2.38 + t^2.41 + t^2.63 + t^2.89 + t^3.14 + t^3.37 + t^3.59 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.35 + t^4.53 + t^4.56 + t^4.58 + t^4.76 + t^4.78 + 2*t^4.81 + t^5.01 + t^5.04 + t^5.06 + 2*t^5.27 + t^5.29 + t^5.32 + 2*t^5.52 + t^5.54 + t^5.75 + 2*t^5.77 + t^5.97 - t^6. - t^4.44/y - t^4.44*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 |