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 |
|---|---|---|---|---|---|---|---|---|---|
| 5045 | 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_8\phi_1\tilde{q}_1^2$ | 0.6302 | 0.8149 | 0.7734 | [X:[], M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.7143, 0.8571, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | [X:[], M:[[2], [-2], [0], [0], [0], [0], [0], [-2]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_8$, $ M_1$, $ M_3$, $ \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_2M_7$, $ M_4M_8$, $ M_6M_8$, $ M_2\phi_1^2$, $ M_2M_8$, $ M_1M_4$, $ M_1M_6$, $ \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_7M_8$, $ M_8\phi_1^2$, $ \phi_1q_1^2$, $ M_8^2$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_3M_7$, $ M_1M_8$, $ M_3\phi_1^2$, $ M_3M_8$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_2\phi_1q_2^2$ | . | -2 | 2*t^2.14 + t^2.28 + 2*t^2.57 + t^2.71 + t^2.87 + t^3. + t^3.56 + 3*t^4.29 + 2*t^4.42 + t^4.55 + 5*t^4.71 + 4*t^4.85 + t^4.98 + 2*t^5.01 + 6*t^5.14 + 3*t^5.28 + t^5.41 + 2*t^5.44 + 2*t^5.57 + 2*t^5.71 + t^5.73 + t^5.84 - 2*t^6. + t^6.13 + t^6.27 - t^6.29 + 3*t^6.43 + 3*t^6.56 + 2*t^6.7 - t^6.72 + t^6.83 + 4*t^6.86 + 6*t^6.99 + 5*t^7.13 + t^7.15 + t^7.26 + 10*t^7.29 + 10*t^7.42 + 5*t^7.55 + 4*t^7.58 + t^7.69 + 9*t^7.71 + 7*t^7.85 + 2*t^7.87 + 4*t^7.98 + 3*t^8.01 + 2*t^8.12 - 3*t^8.14 + 2*t^8.3 + 3*t^8.41 - 3*t^8.44 + t^8.55 - 4*t^8.57 + t^8.6 + t^8.71 + 4*t^8.84 - 7*t^8.87 + 3*t^8.98 - t^4.29/y - t^6.43/y - t^6.56/y - (2*t^6.86)/y - t^6.99/y - t^7.15/y + t^7.29/y + (3*t^7.42)/y + t^7.58/y + (6*t^7.71)/y + (4*t^7.85)/y + t^7.98/y + (3*t^8.01)/y + (5*t^8.14)/y + (3*t^8.28)/y + (2*t^8.44)/y + (2*t^8.57)/y + (2*t^8.71)/y + t^8.87/y - t^4.29*y - t^6.43*y - t^6.56*y - 2*t^6.86*y - t^6.99*y - t^7.15*y + t^7.29*y + 3*t^7.42*y + t^7.58*y + 6*t^7.71*y + 4*t^7.85*y + t^7.98*y + 3*t^8.01*y + 5*t^8.14*y + 3*t^8.28*y + 2*t^8.44*y + 2*t^8.57*y + 2*t^8.71*y + t^8.87*y | 2*t^2.14 + t^2.28/g1^2 + 2*t^2.57 + t^2.71/g1^2 + g1^2*t^2.87 + t^3. + t^3.56/g1^2 + 3*t^4.29 + (2*t^4.42)/g1^2 + t^4.55/g1^4 + 5*t^4.71 + (4*t^4.85)/g1^2 + t^4.98/g1^4 + 2*g1^2*t^5.01 + 6*t^5.14 + (3*t^5.28)/g1^2 + t^5.41/g1^4 + 2*g1^2*t^5.44 + 2*t^5.57 + (2*t^5.71)/g1^2 + g1^4*t^5.73 + t^5.84/g1^4 - 2*t^6. + t^6.13/g1^2 + t^6.27/g1^4 - g1^2*t^6.29 + 3*t^6.43 + (3*t^6.56)/g1^2 + (2*t^6.7)/g1^4 - g1^2*t^6.72 + t^6.83/g1^6 + 4*t^6.86 + (6*t^6.99)/g1^2 + (5*t^7.13)/g1^4 + g1^2*t^7.15 + t^7.26/g1^6 + 10*t^7.29 + (10*t^7.42)/g1^2 + (5*t^7.55)/g1^4 + 4*g1^2*t^7.58 + t^7.69/g1^6 + 9*t^7.71 + (7*t^7.85)/g1^2 + 2*g1^4*t^7.87 + (4*t^7.98)/g1^4 + 3*g1^2*t^8.01 + (2*t^8.12)/g1^6 - 3*t^8.14 + 2*g1^4*t^8.3 + (3*t^8.41)/g1^4 - 3*g1^2*t^8.44 + t^8.55/g1^6 - 4*t^8.57 + g1^6*t^8.6 + t^8.71/g1^2 + (4*t^8.84)/g1^4 - 7*g1^2*t^8.87 + (3*t^8.98)/g1^6 - t^4.29/y - t^6.43/y - t^6.56/(g1^2*y) - (2*t^6.86)/y - t^6.99/(g1^2*y) - (g1^2*t^7.15)/y + t^7.29/y + (3*t^7.42)/(g1^2*y) + (g1^2*t^7.58)/y + (6*t^7.71)/y + (4*t^7.85)/(g1^2*y) + t^7.98/(g1^4*y) + (3*g1^2*t^8.01)/y + (5*t^8.14)/y + (3*t^8.28)/(g1^2*y) + (2*g1^2*t^8.44)/y + (2*t^8.57)/y + (2*t^8.71)/(g1^2*y) + (g1^2*t^8.87)/y - t^4.29*y - t^6.43*y - (t^6.56*y)/g1^2 - 2*t^6.86*y - (t^6.99*y)/g1^2 - g1^2*t^7.15*y + t^7.29*y + (3*t^7.42*y)/g1^2 + g1^2*t^7.58*y + 6*t^7.71*y + (4*t^7.85*y)/g1^2 + (t^7.98*y)/g1^4 + 3*g1^2*t^8.01*y + 5*t^8.14*y + (3*t^8.28*y)/g1^2 + 2*g1^2*t^8.44*y + 2*t^8.57*y + (2*t^8.71*y)/g1^2 + g1^2*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 6645 | $M_1q_1q_2$ + $ 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_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.6468 | 0.8432 | 0.7671 | [X:[], M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.7143, 0.8571, 0.9286, 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 + 2*t^2.79 + t^3. + 3*t^4.29 + 4*t^4.5 + 8*t^4.71 + 8*t^4.93 + 9*t^5.14 + 6*t^5.36 + 4*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 14199/21952, c: 18511/21952, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 6/7, M8: 13/14, M9: 11/14, 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} |