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 |
|---|---|---|---|---|---|---|---|---|---|
| 600 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ | 0.7101 | 0.8727 | 0.8137 | [X:[], M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | [X:[], M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_3$, $ \phi_1q_1^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.53 + t^2.62 + t^2.84 + t^2.93 + t^3.07 + t^3.16 + t^3.25 + t^4.13 + t^4.26 + t^4.35 + t^4.4 + t^4.49 + t^4.58 + t^4.67 + t^4.8 + t^4.89 + t^5.06 + t^5.15 + t^5.21 + t^5.24 + t^5.37 + t^5.46 + t^5.55 + 2*t^5.69 + 2*t^5.78 + t^5.86 - 2*t^6. + t^6.09 + t^6.18 + t^6.49 - t^6.54 + t^6.66 + t^6.75 + t^6.79 + t^6.88 + t^6.93 + 2*t^6.97 + t^7.02 + t^7.06 + 2*t^7.11 + 3*t^7.2 + t^7.24 + t^7.29 + 2*t^7.33 + t^7.38 + t^7.42 + t^7.47 + 2*t^7.51 + t^7.59 + t^7.6 + t^7.65 + t^7.68 + t^7.74 + t^7.77 + t^7.82 + t^7.86 + t^7.9 + t^7.91 - t^7.96 + t^7.99 + t^8.05 + t^8.08 + t^8.14 + t^8.17 + 2*t^8.22 + t^8.26 + 2*t^8.31 + 2*t^8.39 - t^8.44 + t^8.45 + 2*t^8.48 - t^8.53 - t^8.62 + t^8.71 + 3*t^8.8 - 3*t^8.84 + t^8.89 - t^8.93 - t^4.42/y - t^6.95/y - t^7.04/y + t^7.8/y + t^7.89/y + t^8.15/y + t^8.37/y + (2*t^8.46)/y + t^8.55/y + t^8.6/y + (2*t^8.69)/y + (3*t^8.78)/y + t^8.86/y + t^8.91/y - t^4.42*y - t^6.95*y - t^7.04*y + t^7.8*y + t^7.89*y + t^8.15*y + t^8.37*y + 2*t^8.46*y + t^8.55*y + t^8.6*y + 2*t^8.69*y + 3*t^8.78*y + t^8.86*y + t^8.91*y | g1^6*g2^6*t^2.53 + g1^3*g2^5*t^2.62 + g1^2*g2^2*t^2.84 + (g2*t^2.93)/g1 + (g1*t^3.07)/g2 + t^3.16/(g1^2*g2^2) + t^3.25/(g1^5*g2^3) + g1*g2^5*t^4.13 + g1^3*g2^3*t^4.26 + g2^2*t^4.35 + g1^5*g2*t^4.4 + g1^2*t^4.49 + t^4.58/(g1*g2) + t^4.67/(g1^4*g2^2) + t^4.8/(g1^2*g2^4) + t^4.89/(g1^5*g2^5) + g1^12*g2^12*t^5.06 + g1^9*g2^11*t^5.15 + t^5.21/(g1^9*g2^9) + g1^6*g2^10*t^5.24 + g1^8*g2^8*t^5.37 + g1^5*g2^7*t^5.46 + g1^2*g2^6*t^5.55 + 2*g1^4*g2^4*t^5.69 + 2*g1*g2^3*t^5.78 + (g2^2*t^5.86)/g1^2 - 2*t^6. + t^6.09/(g1^3*g2) + t^6.18/(g1^6*g2^2) + t^6.49/(g1^10*g2^6) - t^6.54/(g1^5*g2^7) + g1^7*g2^11*t^6.66 + g1^4*g2^10*t^6.75 + g1^9*g2^9*t^6.79 + g1^6*g2^8*t^6.88 + g1^11*g2^7*t^6.93 + 2*g1^3*g2^7*t^6.97 + g1^8*g2^6*t^7.02 + g2^6*t^7.06 + 2*g1^5*g2^5*t^7.11 + 3*g1^2*g2^4*t^7.2 + g1^7*g2^3*t^7.24 + (g2^3*t^7.29)/g1 + 2*g1^4*g2^2*t^7.33 + (g2^2*t^7.38)/g1^4 + g1*g2*t^7.42 + g1^6*t^7.47 + (2*t^7.51)/g1^2 + g1^18*g2^18*t^7.59 + t^7.6/(g1^5*g2) + t^7.65/g2^2 + g1^15*g2^17*t^7.68 + t^7.74/(g1^3*g2^3) + g1^12*g2^16*t^7.77 + t^7.82/(g1^6*g2^4) + g1^9*g2^15*t^7.86 + g1^14*g2^14*t^7.9 + t^7.91/(g1^9*g2^5) - t^7.96/(g1^4*g2^6) + g1^11*g2^13*t^7.99 + t^8.05/(g1^7*g2^7) + g1^8*g2^12*t^8.08 + t^8.14/(g1^10*g2^8) + g1^5*g2^11*t^8.17 + 2*g1^10*g2^10*t^8.22 + g1^2*g2^10*t^8.26 + 2*g1^7*g2^9*t^8.31 + 2*g1^4*g2^8*t^8.39 - g1^9*g2^7*t^8.44 + t^8.45/(g1^14*g2^12) + 2*g1*g2^7*t^8.48 - g1^6*g2^6*t^8.53 - g1^3*g2^5*t^8.62 + g2^4*t^8.71 + g1^10*g2^2*t^8.8 + (2*g2^3*t^8.8)/g1^3 - 3*g1^2*g2^2*t^8.84 + g1^7*g2*t^8.89 - (g2*t^8.93)/g1 - (g1*g2*t^4.42)/y - (g1^7*g2^7*t^6.95)/y - (g1^4*g2^6*t^7.04)/y + t^7.8/(g1^2*g2^4*y) + t^7.89/(g1^5*g2^5*y) + (g1^9*g2^11*t^8.15)/y + (g1^8*g2^8*t^8.37)/y + (2*g1^5*g2^7*t^8.46)/y + (g1^2*g2^6*t^8.55)/y + (g1^7*g2^5*t^8.6)/y + (2*g1^4*g2^4*t^8.69)/y + (3*g1*g2^3*t^8.78)/y + (g2^2*t^8.86)/(g1^2*y) + (g1^3*g2*t^8.91)/y - g1*g2*t^4.42*y - g1^7*g2^7*t^6.95*y - g1^4*g2^6*t^7.04*y + (t^7.8*y)/(g1^2*g2^4) + (t^7.89*y)/(g1^5*g2^5) + g1^9*g2^11*t^8.15*y + g1^8*g2^8*t^8.37*y + 2*g1^5*g2^7*t^8.46*y + g1^2*g2^6*t^8.55*y + g1^7*g2^5*t^8.6*y + 2*g1^4*g2^4*t^8.69*y + 3*g1*g2^3*t^8.78*y + (g2^2*t^8.86*y)/g1^2 + g1^3*g2*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 958 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.43 + t^4.47 + t^4.48 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.53 + t^4.54 + t^4.55 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 957 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_5$ | 0.6931 | 0.8486 | 0.8169 | [X:[], M:[0.9731, 1.009, 1.009, 0.9731, 1.0269], q:[0.5224, 0.5045], qb:[0.4687, 0.5224], phi:[0.4955]] | 2*t^2.92 + t^2.97 + 2*t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.41 + 2*t^4.46 + t^4.51 + 2*t^4.57 + 3*t^4.62 + t^5.84 + t^5.89 + 3*t^5.95 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 959 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_2M_6$ | 0.7153 | 0.8822 | 0.8108 | [X:[], M:[0.822, 1.0593, 0.8597, 1.0216, 0.9784, 0.9407], q:[0.6484, 0.5297], qb:[0.4919, 0.4488], phi:[0.4703]] | t^2.47 + t^2.58 + 2*t^2.82 + t^2.94 + t^3.06 + t^3.29 + t^4.1 + t^4.23 + t^4.35 + t^4.36 + t^4.48 + t^4.59 + t^4.7 + t^4.83 + t^4.93 + t^4.95 + t^5.05 + t^5.16 + 2*t^5.29 + t^5.3 + 2*t^5.4 + t^5.51 + 3*t^5.64 + 2*t^5.76 + t^5.87 + t^5.89 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 961 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3M_6$ | 0.7008 | 0.8558 | 0.8188 | [X:[], M:[0.8827, 1.0391, 0.9218, 1.0, 1.0, 1.0782], q:[0.5977, 0.5195], qb:[0.4805, 0.4805], phi:[0.4805]] | t^2.65 + t^2.88 + 2*t^3. + t^3.12 + 2*t^3.23 + 3*t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.68 + t^4.79 + t^5.03 + t^5.3 + t^5.53 + t^5.77 + 2*t^5.88 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 960 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ | 0.6958 | 0.8515 | 0.8172 | [X:[], M:[0.9451, 1.0183, 1.0, 0.9634, 1.0366], q:[0.5458, 0.5092], qb:[0.4542, 0.5275], phi:[0.4908]] | t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.22 + t^4.2 + t^4.36 + t^4.42 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.64 + t^4.69 + t^4.75 + t^5.67 + t^5.78 + t^5.84 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 963 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_5M_6$ | 0.7092 | 0.8704 | 0.8148 | [X:[], M:[0.8407, 1.0531, 0.8964, 0.9975, 1.0025, 0.9975], q:[0.6327, 0.5265], qb:[0.4709, 0.476], phi:[0.4735]] | t^2.52 + t^2.69 + t^2.84 + 2*t^2.99 + t^3.16 + t^3.33 + t^4.25 + t^4.26 + t^4.28 + t^4.41 + t^4.43 + t^4.58 + t^4.73 + t^4.75 + t^4.9 + t^5.04 + t^5.21 + t^5.22 + t^5.36 + t^5.38 + t^5.51 + 3*t^5.68 + t^5.83 + t^5.85 + 2*t^5.98 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
| 962 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7198 | 0.8904 | 0.8084 | [X:[], M:[0.8037, 1.0654, 0.8691, 1.0, 1.0, 0.8691], q:[0.6636, 0.5327], qb:[0.4673, 0.4673], phi:[0.4673]] | t^2.41 + 2*t^2.61 + t^2.8 + 2*t^3. + t^3.2 + 3*t^4.21 + 2*t^4.4 + t^4.6 + 2*t^4.79 + t^4.82 + t^4.99 + 2*t^5.02 + 4*t^5.21 + t^5.38 + 2*t^5.41 + 5*t^5.61 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 1944 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3X_2$ | 0.5535 | 0.666 | 0.8311 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | t^2.4 + 2*t^3. + 4*t^3.6 + 2*t^4.2 + 2*t^4.8 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1107/2000, c: 333/500, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 1943 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6055 | 0.7763 | 0.78 | [X:[], M:[1.0233, 0.9922, 0.7714, 1.2442, 0.7558], q:[0.4806, 0.4961], qb:[0.7481, 0.2597], phi:[0.5039]] | t^2.22 + t^2.27 + t^2.31 + t^2.98 + t^3.02 + 2*t^3.07 + 2*t^3.73 + t^3.78 + t^4.4 + 2*t^4.44 + 2*t^4.49 + 2*t^4.53 + t^4.58 + t^4.63 + t^5.2 + 2*t^5.24 + 3*t^5.29 + 2*t^5.34 + 2*t^5.38 + t^5.95 - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |