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 |
|---|---|---|---|---|---|---|---|---|---|
| 4175 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6677 | 0.8492 | 0.7862 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10993/16464, c: 6991/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_5M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_2M_5$, $ M_3M_5$, $ M_2M_6$, $ M_3M_6$, $ M_7\phi_1^2$, $ M_2M_7$, $ M_3M_7$, $ \phi_1^4$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_6q_1q_2$ | $M_7q_1q_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | 1 | 3*t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 4*t^4.86 + 4*t^5.14 + 5*t^5.43 + 6*t^5.71 + t^6. + 5*t^6.29 + 5*t^6.57 + 10*t^6.86 + 9*t^7.14 + 9*t^7.43 + 10*t^7.71 + 12*t^8. + 2*t^8.29 + 8*t^8.57 + 8*t^8.86 - t^4.43/y - (2*t^6.71)/y - t^7./y + t^7.29/y + (2*t^7.57)/y + (4*t^7.86)/y + (5*t^8.14)/y + (7*t^8.43)/y + (5*t^8.71)/y - t^4.43*y - 2*t^6.71*y - t^7.*y + t^7.29*y + 2*t^7.57*y + 4*t^7.86*y + 5*t^8.14*y + 7*t^8.43*y + 5*t^8.71*y | 3*t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 4*t^4.86 + 4*t^5.14 + 5*t^5.43 + 6*t^5.71 + t^6. + 5*t^6.29 + 5*t^6.57 + 10*t^6.86 + 9*t^7.14 + 9*t^7.43 + 10*t^7.71 + 12*t^8. + 2*t^8.29 + 8*t^8.57 + 8*t^8.86 - t^4.43/y - (2*t^6.71)/y - t^7./y + t^7.29/y + (2*t^7.57)/y + (4*t^7.86)/y + (5*t^8.14)/y + (7*t^8.43)/y + (5*t^8.71)/y - t^4.43*y - 2*t^6.71*y - t^7.*y + t^7.29*y + 2*t^7.57*y + 4*t^7.86*y + 5*t^8.14*y + 7*t^8.43*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 5675 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_2M_8$ | 0.6721 | 0.8567 | 0.7846 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571, 0.9524], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.29 + t^2.57 + 2*t^2.86 + t^3.14 + t^3.43 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 4*t^4.86 + 7*t^5.14 + 3*t^5.43 + 7*t^5.71 + t^6. - t^4.43/y - t^4.43*y | detail | {a: 5533/8232, c: 1763/2058, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, M8: 20/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 5678 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6862 | 0.8827 | 0.7775 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571, 0.7619], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 4*t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + t^4. + 2*t^4.29 + 10*t^4.57 + 5*t^4.86 + 5*t^5.14 + 7*t^5.43 + 7*t^5.71 - 2*t^6. - t^4.43/y - t^4.43*y | detail | {a: 269/392, c: 173/196, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, M8: 16/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 5674 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_8\phi_1^2$ | 0.6633 | 0.8418 | 0.7879 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571, 1.0476], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.29 + t^2.57 + 3*t^3.14 + t^3.43 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 4*t^4.86 + t^5.14 + 7*t^5.43 + 6*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 65/98, c: 165/196, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, M8: 22/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 5677 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_8q_1q_2$ | 0.6803 | 0.8707 | 0.7813 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.29 + 2*t^2.57 + t^2.86 + 2*t^3.14 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 7*t^4.86 + 6*t^5.14 + 6*t^5.43 + 5*t^5.71 - t^4.43/y - t^4.43*y | detail | {a: 100/147, c: 128/147, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, M8: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2184 | 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6908 | 0.8766 | 0.788 | [X:[], M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | t^2.08 + t^2.16 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^4. + t^4.08 + t^4.16 + t^4.23 + t^4.31 + t^4.41 + t^4.56 + 2*t^4.64 + 3*t^4.72 + t^4.8 + 2*t^4.88 + t^4.95 + 3*t^5.12 + 2*t^5.28 + 2*t^5.36 + 3*t^5.44 + t^5.52 + t^5.59 + t^5.84 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |