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 |
|---|---|---|---|---|---|---|---|---|---|
| 4383 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4M_7$ + $ M_5X_1$ | 0.6447 | 0.7869 | 0.8193 | [X:[1.4249], M:[0.6995, 1.1502, 1.0, 1.1244, 0.5751, 0.8756, 0.8756, 1.1244], q:[0.5258, 0.7747], qb:[0.3498, 0.6502], phi:[0.4249]] | [X:[[1]], M:[[4], [-2], [0], [5], [-1], [-5], [-5], [5]], q:[[-7], [3]], qb:[[2], [-2]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_3$, $ M_4$, $ M_8$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_8$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$ | $M_7M_8$ | -1 | t^2.1 + t^2.63 + t^3. + 2*t^3.37 + t^3.45 + t^3.53 + t^3.9 + t^4.2 + 2*t^4.27 + t^4.43 + t^4.65 + t^4.8 + 2*t^5.18 + t^5.47 + 2*t^5.55 + t^5.92 - t^6. + t^6.08 + t^6.15 + t^6.3 + t^6.37 + t^6.45 + t^6.53 + 2*t^6.75 + t^6.82 + 2*t^6.9 + t^6.98 + 2*t^7.06 + 2*t^7.27 + 2*t^7.43 + t^7.57 + 4*t^7.65 + 4*t^7.8 + t^7.96 + 2*t^8.02 - 3*t^8.1 + 3*t^8.18 - t^8.25 + 2*t^8.33 + t^8.39 - t^8.47 + 5*t^8.55 - 4*t^8.63 + 3*t^8.7 + t^8.85 + t^8.86 + 3*t^8.92 - t^4.27/y - t^6.37/y + t^7.73/y + t^8.1/y + t^8.18/y + t^8.47/y + t^8.55/y + (2*t^8.63)/y - t^4.27*y - t^6.37*y + t^7.73*y + t^8.1*y + t^8.18*y + t^8.47*y + t^8.55*y + 2*t^8.63*y | g1^4*t^2.1 + t^2.63/g1^5 + t^3. + 2*g1^5*t^3.37 + t^3.45/g1^2 + t^3.53/g1^9 + t^3.9/g1^4 + g1^8*t^4.2 + 2*g1*t^4.27 + t^4.43/g1^13 + g1^6*t^4.65 + t^4.8/g1^8 + (2*t^5.18)/g1^3 + g1^9*t^5.47 + 2*g1^2*t^5.55 + g1^7*t^5.92 - t^6. + t^6.08/g1^7 + t^6.15/g1^14 + g1^12*t^6.3 + g1^5*t^6.37 + t^6.45/g1^2 + t^6.53/g1^9 + 2*g1^10*t^6.75 + g1^3*t^6.82 + (2*t^6.9)/g1^4 + t^6.98/g1^11 + (2*t^7.06)/g1^18 + 2*g1*t^7.27 + (2*t^7.43)/g1^13 + g1^13*t^7.57 + 4*g1^6*t^7.65 + (4*t^7.8)/g1^8 + t^7.96/g1^22 + 2*g1^11*t^8.02 - 3*g1^4*t^8.1 + (3*t^8.18)/g1^3 - t^8.25/g1^10 + (2*t^8.33)/g1^17 + g1^16*t^8.39 - g1^9*t^8.47 + 5*g1^2*t^8.55 - (4*t^8.63)/g1^5 + (3*t^8.7)/g1^12 + g1^14*t^8.85 + t^8.86/g1^26 + 3*g1^7*t^8.92 - (g1*t^4.27)/y - (g1^5*t^6.37)/y + t^7.73/(g1*y) + (g1^4*t^8.1)/y + t^8.18/(g1^3*y) + (g1^9*t^8.47)/y + (g1^2*t^8.55)/y + (2*t^8.63)/(g1^5*y) - g1*t^4.27*y - g1^5*t^6.37*y + (t^7.73*y)/g1 + g1^4*t^8.1*y + (t^8.18*y)/g1^3 + g1^9*t^8.47*y + g1^2*t^8.55*y + (2*t^8.63*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5866 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4M_7$ + $ M_5X_1$ + $ M_1M_4$ | 0.6227 | 0.7685 | 0.8102 | [X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.2222], q:[0.3889, 0.8333], qb:[0.3889, 0.6111], phi:[0.4444]] | 2*t^2.33 + 2*t^3. + t^3.33 + 4*t^3.67 + 3*t^4.33 + t^4.67 + 3*t^5. + t^5.33 + 3*t^5.67 + 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 269/432, c: 83/108, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 11/9, q1: 7/18, q2: 5/6, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5868 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4M_7$ + $ M_5X_1$ + $ M_4M_9$ | 0.6565 | 0.8082 | 0.8123 | [X:[1.4284], M:[0.7134, 1.1433, 1.0, 1.1418, 0.5716, 0.8582, 0.8582, 1.1418, 0.8582], q:[0.5015, 0.7851], qb:[0.3567, 0.6433], phi:[0.4284]] | t^2.14 + 2*t^2.57 + t^3. + 3*t^3.43 + t^3.86 + t^4.28 + 3*t^4.29 + 2*t^4.71 + t^4.72 + 2*t^5.14 + 2*t^5.15 + 3*t^5.57 + 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5871 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4M_7$ + $ M_5X_1$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6653 | 0.8262 | 0.8052 | [X:[1.4243], M:[0.6971, 1.1514, 1.0, 1.1214, 0.5757, 0.8786, 0.8786, 1.1214, 0.6971], q:[0.53, 0.7728], qb:[0.3486, 0.6514], phi:[0.4243]] | 2*t^2.09 + t^2.64 + t^3. + 2*t^3.36 + t^3.45 + t^3.54 + 3*t^4.18 + 2*t^4.27 + t^4.45 + t^4.64 + t^4.73 + t^4.82 + t^5.09 + 2*t^5.18 + 3*t^5.46 + 3*t^5.55 + t^5.64 + t^5.91 - 2*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ | 0.7333 | 0.912 | 0.804 | [X:[], M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.03 + t^2.58 + t^2.6 + 2*t^2.98 + t^3. + t^3.21 + t^3.44 + t^4.05 + t^4.38 + t^4.39 + t^4.41 + t^4.61 + t^4.62 + t^4.78 + t^4.8 + 2*t^4.82 + t^4.83 + t^4.85 + 2*t^5.01 + t^5.03 + t^5.16 + t^5.17 + t^5.19 + t^5.24 + t^5.46 + t^5.56 + 2*t^5.58 + t^5.79 + t^5.81 + 2*t^5.97 - 3*t^6. - t^4.39/y - t^4.39*y | detail |