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 |
|---|---|---|---|---|---|---|---|---|---|
| 2151 | 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_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.7044 | 0.8881 | 0.7931 | [X:[], M:[1.0862, 1.0862, 1.0258, 0.9138, 0.6898, 0.8018, 0.7413], q:[0.7716, 0.4267], qb:[0.4871, 0.4871], phi:[0.4569]] | [X:[], M:[[4], [4], [-22], [-4], [32], [14], [-12]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ M_5M_6$, $ M_6M_7$, $ M_4M_5$, $ M_6^2$, $ M_5\phi_1^2$, $ M_4M_7$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_1M_5$, $ M_4^2$, $ M_3M_6$, $ M_1M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_5q_1\tilde{q}_1$ | $M_1\phi_1^2$, $ M_7q_1\tilde{q}_1$ | -2 | t^2.07 + t^2.22 + t^2.41 + 2*t^2.74 + t^3.08 + t^3.26 + t^3.78 + 2*t^4.11 + t^4.14 + 4*t^4.29 + t^4.45 + t^4.47 + t^4.63 + 3*t^4.81 + 2*t^4.97 + 3*t^5.15 + t^5.3 + t^5.33 + 5*t^5.48 + t^5.66 + t^5.85 - 2*t^6. + t^6.15 + t^6.18 + t^6.21 + 2*t^6.34 + 4*t^6.36 + 6*t^6.52 + t^6.54 + t^6.67 + 4*t^6.7 + 3*t^6.85 + 3*t^6.88 + 7*t^7.03 + t^7.19 + 4*t^7.22 + 2*t^7.37 + t^7.4 + t^7.53 + 6*t^7.55 + 3*t^7.71 + t^7.73 + 3*t^7.89 + t^7.91 + 2*t^8.22 + t^8.25 + t^8.28 + t^8.38 + 4*t^8.43 + 2*t^8.56 + 10*t^8.59 + t^8.61 - t^8.74 + 4*t^8.77 + t^8.9 + 4*t^8.92 + 3*t^8.95 - t^4.37/y - t^6.44/y - t^6.59/y - t^6.78/y + (2*t^7.29)/y - t^7.45/y + t^7.47/y + t^7.63/y + (2*t^7.81)/y + (3*t^7.97)/y + (4*t^8.15)/y + (2*t^8.3)/y + t^8.33/y + (3*t^8.48)/y - t^8.51/y + t^8.82/y - t^4.37*y - t^6.44*y - t^6.59*y - t^6.78*y + 2*t^7.29*y - t^7.45*y + t^7.47*y + t^7.63*y + 2*t^7.81*y + 3*t^7.97*y + 4*t^8.15*y + 2*t^8.3*y + t^8.33*y + 3*t^8.48*y - t^8.51*y + t^8.82*y | g1^32*t^2.07 + t^2.22/g1^12 + g1^14*t^2.41 + (2*t^2.74)/g1^4 + t^3.08/g1^22 + g1^4*t^3.26 + g1^12*t^3.78 + (2*t^4.11)/g1^6 + g1^64*t^4.14 + 4*g1^20*t^4.29 + t^4.45/g1^24 + g1^46*t^4.47 + g1^2*t^4.63 + 3*g1^28*t^4.81 + (2*t^4.97)/g1^16 + 3*g1^10*t^5.15 + t^5.3/g1^34 + g1^36*t^5.33 + (5*t^5.48)/g1^8 + g1^18*t^5.66 + g1^44*t^5.85 - 2*t^6. + t^6.15/g1^44 + g1^26*t^6.18 + g1^96*t^6.21 + (2*t^6.34)/g1^18 + 4*g1^52*t^6.36 + 6*g1^8*t^6.52 + g1^78*t^6.54 + t^6.67/g1^36 + 4*g1^34*t^6.7 + (3*t^6.85)/g1^10 + 3*g1^60*t^6.88 + 7*g1^16*t^7.03 + t^7.19/g1^28 + 4*g1^42*t^7.22 + (2*t^7.37)/g1^2 + g1^68*t^7.4 + t^7.53/g1^46 + 6*g1^24*t^7.55 + (3*t^7.71)/g1^20 + g1^50*t^7.73 + 3*g1^6*t^7.89 + g1^76*t^7.91 + (2*t^8.22)/g1^12 + g1^58*t^8.25 + g1^128*t^8.28 + t^8.38/g1^56 + 4*g1^84*t^8.43 + (2*t^8.56)/g1^30 + 10*g1^40*t^8.59 + g1^110*t^8.61 - t^8.74/g1^4 + 4*g1^66*t^8.77 + t^8.9/g1^48 + 4*g1^22*t^8.92 + 3*g1^92*t^8.95 - t^4.37/(g1^2*y) - (g1^30*t^6.44)/y - t^6.59/(g1^14*y) - (g1^12*t^6.78)/y + (2*g1^20*t^7.29)/y - t^7.45/(g1^24*y) + (g1^46*t^7.47)/y + (g1^2*t^7.63)/y + (2*g1^28*t^7.81)/y + (3*t^7.97)/(g1^16*y) + (4*g1^10*t^8.15)/y + (2*t^8.3)/(g1^34*y) + (g1^36*t^8.33)/y + (3*t^8.48)/(g1^8*y) - (g1^62*t^8.51)/y + t^8.82/(g1^26*y) - (t^4.37*y)/g1^2 - g1^30*t^6.44*y - (t^6.59*y)/g1^14 - g1^12*t^6.78*y + 2*g1^20*t^7.29*y - (t^7.45*y)/g1^24 + g1^46*t^7.47*y + g1^2*t^7.63*y + 2*g1^28*t^7.81*y + (3*t^7.97*y)/g1^16 + 4*g1^10*t^8.15*y + (2*t^8.3*y)/g1^34 + g1^36*t^8.33*y + (3*t^8.48*y)/g1^8 - g1^62*t^8.51*y + (t^8.82*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4127 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7X_1$ | 0.6008 | 0.7421 | 0.8096 | [X:[1.3913], M:[1.1304, 1.1304, 0.7826, 0.8696, 1.0435, 0.9565, 0.6087], q:[0.7826, 0.2609], qb:[0.6087, 0.6087], phi:[0.4348]] | t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.91 + 2*t^4.17 + t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 14619/24334, c: 36115/48668, X1: 32/23, M1: 26/23, M2: 26/23, M3: 18/23, M4: 20/23, M5: 24/23, M6: 22/23, M7: 14/23, q1: 18/23, q2: 6/23, qb1: 14/23, qb2: 14/23, phi1: 10/23} |
| 4126 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_5^2$ + $ M_7X_1$ | 0.6188 | 0.7634 | 0.8107 | [X:[1.375], M:[1.125, 1.125, 0.8125, 0.875, 1.0, 0.9375, 0.625], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.38 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + 4*t^5.25 + 3*t^5.44 + 3*t^5.62 + t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 81111/131072, c: 100055/131072, X1: 11/8, M1: 9/8, M2: 9/8, M3: 13/16, M4: 7/8, M5: 1, M6: 15/16, M7: 5/8, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
| 4128 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.7238 | 0.9235 | 0.7838 | [X:[], M:[1.0874, 1.0874, 1.0195, 0.9126, 0.6989, 0.8058, 0.7379, 0.7379], q:[0.7718, 0.4224], qb:[0.4903, 0.4903], phi:[0.4563]] | t^2.1 + 2*t^2.21 + t^2.42 + 2*t^2.74 + t^3.06 + t^3.26 + 2*t^4.11 + t^4.19 + 5*t^4.31 + 3*t^4.43 + t^4.51 + 2*t^4.63 + 3*t^4.83 + 4*t^4.95 + 3*t^5.16 + 2*t^5.27 + t^5.36 + 6*t^5.48 + t^5.68 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1114 | 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_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ | 0.6851 | 0.8534 | 0.8028 | [X:[], M:[1.085, 1.085, 1.0326, 0.915, 0.6799, 0.7975], q:[0.7712, 0.4313], qb:[0.4837, 0.4837], phi:[0.4575]] | t^2.04 + t^2.39 + 2*t^2.75 + t^3.1 + t^3.25 + 2*t^3.76 + t^4.08 + 2*t^4.12 + 3*t^4.27 + t^4.43 + 3*t^4.78 + 3*t^5.14 + t^5.29 + 4*t^5.49 + t^5.65 + 2*t^5.8 - 3*t^6. - t^4.37/y - t^4.37*y | detail |