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 |
|---|---|---|---|---|---|---|---|---|---|
| 5309 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ | 0.6479 | 0.8023 | 0.8075 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 50931/78608, c: 63069/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_6^2$, $ M_2M_6$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$ | . | -1 | t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.53 + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + t^4.94 + 2*t^5.12 + 4*t^5.29 + 2*t^5.47 + 2*t^5.65 - t^6. + t^6.18 + 3*t^6.35 + 4*t^6.53 + 3*t^6.71 + 3*t^6.88 + 3*t^7.06 + t^7.24 + 2*t^7.41 + 3*t^7.59 + 4*t^7.76 + 6*t^7.94 + 6*t^8.12 + 3*t^8.29 - 2*t^8.65 + t^8.82 - t^4.41/y - t^7.06/y - t^7.24/y + t^7.59/y + t^7.76/y + (2*t^8.12)/y + (2*t^8.29)/y + (3*t^8.47)/y + (2*t^8.65)/y + t^8.82/y - t^4.41*y - t^7.06*y - t^7.24*y + t^7.59*y + t^7.76*y + 2*t^8.12*y + 2*t^8.29*y + 3*t^8.47*y + 2*t^8.65*y + t^8.82*y | t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.53 + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + t^4.94 + 2*t^5.12 + 4*t^5.29 + 2*t^5.47 + 2*t^5.65 - t^6. + t^6.18 + 3*t^6.35 + 4*t^6.53 + 3*t^6.71 + 3*t^6.88 + 3*t^7.06 + t^7.24 + 2*t^7.41 + 3*t^7.59 + 4*t^7.76 + 6*t^7.94 + 6*t^8.12 + 3*t^8.29 - 2*t^8.65 + t^8.82 - t^4.41/y - t^7.06/y - t^7.24/y + t^7.59/y + t^7.76/y + (2*t^8.12)/y + (2*t^8.29)/y + (3*t^8.47)/y + (2*t^8.65)/y + t^8.82/y - t^4.41*y - t^7.06*y - t^7.24*y + t^7.59*y + t^7.76*y + 2*t^8.12*y + 2*t^8.29*y + 3*t^8.47*y + 2*t^8.65*y + t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 6834 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ + $ M_2M_8$ | 0.6373 | 0.7844 | 0.8125 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 1.1176], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.47 + t^2.65 + t^2.82 + t^3. + t^3.35 + t^3.53 + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + t^4.94 + t^5.12 + 2*t^5.29 + t^5.47 + t^5.65 + t^5.82 - t^4.41/y - t^4.41*y | detail | {a: 12525/19652, c: 15415/19652, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 19/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 6837 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ + $ M_7M_8$ | 0.6629 | 0.8284 | 0.8003 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.8235], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | 2*t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + 3*t^4.94 + 4*t^5.12 + 5*t^5.29 + 3*t^5.47 + 2*t^5.65 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 26055/39304, c: 65115/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 14/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 6839 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6683 | 0.8411 | 0.7946 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.7059], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.12 + t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.53 + t^3.71 + t^3.88 + t^4.06 + 2*t^4.24 + t^4.41 + 2*t^4.59 + 2*t^4.76 + 2*t^4.94 + 3*t^5.12 + 4*t^5.29 + 2*t^5.47 + 3*t^5.65 + t^5.82 - t^4.41/y - t^4.41*y | detail | {a: 6567/9826, c: 66119/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 12/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 6836 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ + $ M_8\phi_1^2$ | 0.6425 | 0.7932 | 0.81 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 1.0588], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.47 + 2*t^2.65 + t^3. + t^3.18 + t^3.53 + t^3.71 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + t^4.59 + t^4.94 + 2*t^5.12 + 3*t^5.29 + 2*t^5.65 + t^5.82 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 25251/39304, c: 62351/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 18/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
| 6838 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_6M_7$ + $ M_8X_1$ | 0.6663 | 0.8354 | 0.7976 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.7647], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.29 + t^2.47 + 2*t^2.65 + t^2.82 + t^3. + t^3.53 + 2*t^3.88 + t^4.06 + t^4.24 + t^4.41 + 2*t^4.59 + t^4.76 + 3*t^4.94 + 3*t^5.12 + 5*t^5.29 + 2*t^5.47 + 2*t^5.65 + t^5.82 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 3081/4624, c: 3863/4624, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 13/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.18 + 2*t^2.45 + t^2.73 + t^2.99 + t^3. + t^3.54 + 2*t^3.81 + t^4.1 + t^4.35 + t^4.36 + t^4.37 + 2*t^4.63 + 4*t^4.9 + t^4.92 + t^5.17 + 3*t^5.18 + t^5.44 + 2*t^5.45 + 2*t^5.72 + t^5.73 + 2*t^5.98 + 3*t^5.99 - 2*t^6. - t^4.36/y - t^4.36*y | detail |