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 |
|---|---|---|---|---|---|---|---|---|---|
| 5044 | 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_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6229 | 0.8015 | 0.7772 | [X:[], M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.7143, 0.8571], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6837/10976, c: 8797/10976, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4M_7$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_2M_7$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_1M_7$, $ M_1\phi_1^2$, $ \phi_1q_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$ | $M_2\phi_1q_2^2$ | 0 | 2*t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.64 + 3*t^4.29 + 2*t^4.5 + 6*t^4.71 + 4*t^4.93 + 6*t^5.14 + 5*t^5.36 + 3*t^5.57 + 3*t^5.79 + t^6.21 + 4*t^6.43 + 2*t^6.64 + 7*t^6.86 + 5*t^7.07 + 13*t^7.29 + 12*t^7.5 + 12*t^7.71 + 10*t^7.93 + 2*t^8.14 + 2*t^8.36 + 2*t^8.57 - t^8.79 - t^4.29/y - t^6.43/y - t^6.64/y - (2*t^6.86)/y - t^7.07/y + t^7.29/y + (3*t^7.5)/y + (6*t^7.71)/y + (5*t^7.93)/y + (5*t^8.14)/y + (5*t^8.36)/y + (2*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.43*y - t^6.64*y - 2*t^6.86*y - t^7.07*y + t^7.29*y + 3*t^7.5*y + 6*t^7.71*y + 5*t^7.93*y + 5*t^8.14*y + 5*t^8.36*y + 2*t^8.57*y + 4*t^8.79*y | 2*t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.64 + 3*t^4.29 + 2*t^4.5 + 6*t^4.71 + 4*t^4.93 + 6*t^5.14 + 5*t^5.36 + 3*t^5.57 + 3*t^5.79 + t^6.21 + 4*t^6.43 + 2*t^6.64 + 7*t^6.86 + 5*t^7.07 + 13*t^7.29 + 12*t^7.5 + 12*t^7.71 + 10*t^7.93 + 2*t^8.14 + 2*t^8.36 + 2*t^8.57 - t^8.79 - t^4.29/y - t^6.43/y - t^6.64/y - (2*t^6.86)/y - t^7.07/y + t^7.29/y + (3*t^7.5)/y + (6*t^7.71)/y + (5*t^7.93)/y + (5*t^8.14)/y + (5*t^8.36)/y + (2*t^8.57)/y + (4*t^8.79)/y - t^4.29*y - t^6.43*y - t^6.64*y - 2*t^6.86*y - t^7.07*y + t^7.29*y + 3*t^7.5*y + 6*t^7.71*y + 5*t^7.93*y + 5*t^8.14*y + 5*t^8.36*y + 2*t^8.57*y + 4*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 6617 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6402 | 0.8322 | 0.7693 | [X:[], M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.7143, 0.8571, 0.7857], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | 2*t^2.14 + 2*t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + 3*t^4.29 + 4*t^4.5 + 8*t^4.71 + 6*t^4.93 + 7*t^5.14 + 6*t^5.36 + 4*t^5.57 + t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 8031/12544, c: 10439/12544, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, M8: 11/14, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
| 6616 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6295 | 0.8125 | 0.7747 | [X:[], M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.7143, 0.8571, 0.9286], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | 2*t^2.14 + t^2.36 + 2*t^2.57 + 2*t^2.79 + t^3. + t^3.64 + 3*t^4.29 + 2*t^4.5 + 6*t^4.71 + 6*t^4.93 + 7*t^5.14 + 5*t^5.36 + 4*t^5.57 + 2*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 55275/87808, c: 71347/87808, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, M8: 13/14, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3173 | 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_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6232 | 0.8018 | 0.7773 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143, 0.8571], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | 2*t^2.14 + t^2.41 + 2*t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.7 + 3*t^4.29 + 2*t^4.55 + 5*t^4.71 + t^4.82 + 2*t^4.88 + 2*t^4.98 + 6*t^5.14 + 4*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.73 + t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 54723/87808, c: 70403/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |