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 |
|---|---|---|---|---|---|---|---|---|---|
| 50836 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0959, 1.0207, 0.9041, 0.5959, 1.0, 0.7124], q:[0.2979, 0.6062], qb:[0.6814, 0.7979], phi:[0.4041]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [6]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_6^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_2M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3M_5$, $ M_1\phi_1^2$ | . | -1 | t^2.14 + t^2.42 + t^2.71 + t^3. + t^3.06 + t^3.29 + t^3.92 + t^4.15 + t^4.21 + t^4.27 + t^4.44 + t^4.56 + 2*t^4.85 + 2*t^5.14 + t^5.2 + t^5.3 + 3*t^5.42 + t^5.49 + t^5.71 - t^6. + t^6.06 + t^6.12 - t^6.23 + t^6.29 + 2*t^6.35 + t^6.41 + t^6.58 + t^6.64 + t^6.7 + t^6.92 + 2*t^6.99 + 4*t^7.27 + t^7.34 + t^7.44 + 4*t^7.56 + t^7.62 + t^7.73 - t^7.79 + 3*t^7.85 + 2*t^7.91 - t^8.08 + t^8.14 + t^8.2 + t^8.26 + t^8.3 + 2*t^8.49 + 2*t^8.55 + t^8.59 - t^8.65 - t^8.71 + 2*t^8.77 + t^8.84 - t^8.94 - t^4.21/y - t^6.35/y - t^6.64/y + t^7.15/y - t^7.27/y + t^7.56/y + t^7.79/y + t^7.85/y + t^8.08/y + (2*t^8.14)/y + t^8.2/y + (2*t^8.42)/y + (2*t^8.71)/y - t^4.21*y - t^6.35*y - t^6.64*y + t^7.15*y - t^7.27*y + t^7.56*y + t^7.79*y + t^7.85*y + t^8.08*y + 2*t^8.14*y + t^8.2*y + 2*t^8.42*y + 2*t^8.71*y | g1^6*t^2.14 + g1^4*t^2.42 + g1^2*t^2.71 + t^3. + g1^10*t^3.06 + t^3.29/g1^2 + g1^4*t^3.92 + t^4.15/g1^8 + g1^2*t^4.21 + g1^12*t^4.27 + t^4.44/g1^10 + g1^10*t^4.56 + 2*g1^8*t^4.85 + 2*g1^6*t^5.14 + g1^16*t^5.2 + t^5.3/g1^16 + 3*g1^4*t^5.42 + g1^14*t^5.49 + g1^2*t^5.71 - t^6. + g1^10*t^6.06 + g1^20*t^6.12 - t^6.23/g1^12 + t^6.29/g1^2 + 2*g1^8*t^6.35 + g1^18*t^6.41 + t^6.58/g1^4 + g1^6*t^6.64 + g1^16*t^6.7 + g1^4*t^6.92 + 2*g1^14*t^6.99 + 4*g1^12*t^7.27 + g1^22*t^7.34 + t^7.44/g1^10 + 4*g1^10*t^7.56 + g1^20*t^7.62 + t^7.73/g1^12 - t^7.79/g1^2 + 3*g1^8*t^7.85 + 2*g1^18*t^7.91 - t^8.08/g1^4 + g1^6*t^8.14 + g1^16*t^8.2 + g1^26*t^8.26 + t^8.3/g1^16 + 2*g1^14*t^8.49 + 2*g1^24*t^8.55 + t^8.59/g1^18 - t^8.65/g1^8 - g1^2*t^8.71 + 2*g1^12*t^8.77 + g1^22*t^8.84 - t^8.94/g1^10 - (g1^2*t^4.21)/y - (g1^8*t^6.35)/y - (g1^6*t^6.64)/y + t^7.15/(g1^8*y) - (g1^12*t^7.27)/y + (g1^10*t^7.56)/y + t^7.79/(g1^2*y) + (g1^8*t^7.85)/y + t^8.08/(g1^4*y) + (2*g1^6*t^8.14)/y + (g1^16*t^8.2)/y + (2*g1^4*t^8.42)/y + (2*g1^2*t^8.71)/y - g1^2*t^4.21*y - g1^8*t^6.35*y - g1^6*t^6.64*y + (t^7.15*y)/g1^8 - g1^12*t^7.27*y + g1^10*t^7.56*y + (t^7.79*y)/g1^2 + g1^8*t^7.85*y + (t^8.08*y)/g1^4 + 2*g1^6*t^8.14*y + g1^16*t^8.2*y + 2*g1^4*t^8.42*y + 2*g1^2*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 56113 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ + $ M_1M_7$ | 0.63 | 0.7797 | 0.8081 | [X:[1.4015], M:[1.0985, 1.0073, 0.9015, 0.5985, 1.0, 0.7044, 0.9015], q:[0.2993, 0.6022], qb:[0.6934, 0.7993], phi:[0.4015]] | t^2.11 + t^2.41 + 2*t^2.7 + t^3. + t^3.02 + t^3.91 + t^4.18 + t^4.2 + t^4.23 + t^4.48 + t^4.52 + 3*t^4.82 + 3*t^5.11 + t^5.14 + t^5.36 + 4*t^5.41 + t^5.43 + t^5.7 + t^5.73 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56105 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ + $ M_2M_6$ | 0.6031 | 0.7398 | 0.8152 | [X:[1.4375], M:[1.0625, 1.1875, 0.9375, 0.5625, 1.0, 0.8125], q:[0.2812, 0.6562], qb:[0.5312, 0.7812], phi:[0.4375]] | t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 79053/131072, c: 96973/131072, X1: 23/16, M1: 17/16, M2: 19/16, M3: 15/16, M4: 9/16, M5: 1, M6: 13/16, q1: 9/32, q2: 21/32, qb1: 17/32, qb2: 25/32, phi1: 7/16} |
| 56111 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ + $ M_2M_7$ | 0.6263 | 0.7723 | 0.811 | [X:[1.4176], M:[1.0824, 1.0882, 0.9176, 0.5824, 1.0, 0.7529, 0.9118], q:[0.2912, 0.6265], qb:[0.6206, 0.7912], phi:[0.4176]] | t^2.26 + t^2.51 + t^2.74 + t^2.75 + t^3. + t^3.25 + t^3.99 + t^4.01 + t^4.24 + t^4.25 + t^4.52 + t^4.76 + t^4.98 + t^4.99 + 2*t^5.01 + t^5.24 + 2*t^5.26 + t^5.47 + t^5.49 + 3*t^5.51 + t^5.74 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | |
| 56115 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ + $ M_7\phi_1q_1q_2$ | 0.6419 | 0.804 | 0.7983 | [X:[1.4049], M:[1.0951, 1.0246, 0.9049, 0.5951, 1.0, 0.7148, 0.6901], q:[0.2975, 0.6074], qb:[0.6778, 0.7975], phi:[0.4049]] | t^2.07 + t^2.14 + t^2.43 + t^2.71 + t^3. + t^3.07 + t^3.29 + 2*t^4.14 + 2*t^4.21 + t^4.29 + t^4.43 + t^4.5 + t^4.57 + t^4.79 + 2*t^4.86 + t^5.07 + 3*t^5.14 + t^5.22 + t^5.28 + t^5.36 + 3*t^5.43 + t^5.5 + t^5.71 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 56109 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_5^2$ + $ M_4X_1$ + $ M_7\phi_1^2$ | 0.6054 | 0.7362 | 0.8224 | [X:[1.4082], M:[1.0918, 1.041, 0.9082, 0.5918, 1.0, 0.7246, 1.1836], q:[0.2959, 0.6123], qb:[0.6631, 0.7959], phi:[0.4082]] | t^2.17 + t^2.72 + t^3. + t^3.12 + t^3.28 + t^3.55 + t^3.95 + t^4.1 + t^4.22 + t^4.35 + t^4.38 + t^4.9 + t^5.17 + t^5.2 + t^5.3 + 2*t^5.45 + t^5.72 - t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46799 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6851 | 0.8556 | 0.8007 | [X:[], M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.28 + t^2.41 + t^2.51 + t^2.61 + t^2.71 + t^2.94 + t^3.49 + t^3.82 + t^4.04 + t^4.27 + t^4.37 + t^4.57 + t^4.6 + t^4.69 + t^4.79 + t^4.82 + t^4.89 + t^4.92 + t^4.99 + 2*t^5.02 + 2*t^5.12 + t^5.15 + 2*t^5.22 + t^5.32 + t^5.35 + t^5.42 + t^5.55 + t^5.65 + t^5.87 + t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail |