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 |
|---|---|---|---|---|---|---|---|---|---|
| 4373 | 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6051 | 0.7719 | 0.7839 | [X:[], M:[0.7592, 1.1429, 0.9551, 0.7143, 1.0, 1.2857, 0.7143, 0.902], q:[0.9061, 0.3347], qb:[0.3796, 0.6653], phi:[0.4286]] | [X:[], M:[[2], [0], [-2], [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_7$, $ M_1$, $ M_8$, $ M_3$, $ M_5$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_4M_8$, $ M_7M_8$, $ M_1M_8$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_8^2$, $ M_2M_4$, $ M_2M_7$, $ M_3M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_5M_8$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | 2*t^2.14 + t^2.28 + t^2.71 + t^2.87 + t^3. + 2*t^3.43 + t^3.56 + 3*t^4.29 + 2*t^4.42 + t^4.55 + t^4.71 + 2*t^4.85 + t^4.98 + 2*t^5.01 + 3*t^5.14 + t^5.28 + t^5.41 + 4*t^5.57 + 4*t^5.71 + t^5.73 + t^5.84 - 2*t^6. + t^6.13 + t^6.27 + t^6.29 + 5*t^6.43 + 3*t^6.56 + 2*t^6.7 - t^6.72 + t^6.83 + t^6.86 + 4*t^6.99 + 3*t^7.13 + t^7.15 + t^7.26 + 2*t^7.29 + 3*t^7.42 + 3*t^7.55 + t^7.69 + 5*t^7.71 + 6*t^7.85 + 2*t^7.87 + 4*t^7.98 + 2*t^8.12 - 4*t^8.14 + 3*t^8.41 + t^8.44 + t^8.55 + 6*t^8.57 + t^8.6 + 2*t^8.71 + 4*t^8.84 - 5*t^8.87 + 3*t^8.98 - t^4.29/y - t^6.43/y - t^6.56/y - t^6.99/y - t^7.15/y + t^7.29/y + (3*t^7.42)/y + t^7.58/y + (2*t^7.85)/y + t^7.98/y + (3*t^8.01)/y + (4*t^8.14)/y + t^8.28/y + (4*t^8.57)/y + (4*t^8.71)/y + t^8.87/y - t^4.29*y - t^6.43*y - t^6.56*y - t^6.99*y - t^7.15*y + t^7.29*y + 3*t^7.42*y + t^7.58*y + 2*t^7.85*y + t^7.98*y + 3*t^8.01*y + 4*t^8.14*y + t^8.28*y + 4*t^8.57*y + 4*t^8.71*y + t^8.87*y | 2*t^2.14 + g1^2*t^2.28 + g1^2*t^2.71 + t^2.87/g1^2 + t^3. + 2*t^3.43 + g1^2*t^3.56 + 3*t^4.29 + 2*g1^2*t^4.42 + g1^4*t^4.55 + t^4.71 + 2*g1^2*t^4.85 + g1^4*t^4.98 + (2*t^5.01)/g1^2 + 3*t^5.14 + g1^2*t^5.28 + g1^4*t^5.41 + 4*t^5.57 + 4*g1^2*t^5.71 + t^5.73/g1^4 + g1^4*t^5.84 - 2*t^6. + g1^2*t^6.13 + g1^4*t^6.27 + t^6.29/g1^2 + 5*t^6.43 + 3*g1^2*t^6.56 + 2*g1^4*t^6.7 - t^6.72/g1^2 + g1^6*t^6.83 + t^6.86 + 4*g1^2*t^6.99 + 3*g1^4*t^7.13 + t^7.15/g1^2 + g1^6*t^7.26 + 2*t^7.29 + 3*g1^2*t^7.42 + 3*g1^4*t^7.55 + g1^6*t^7.69 + 5*t^7.71 + 6*g1^2*t^7.85 + (2*t^7.87)/g1^4 + 4*g1^4*t^7.98 + 2*g1^6*t^8.12 - 4*t^8.14 + 3*g1^4*t^8.41 + t^8.44/g1^2 + g1^6*t^8.55 + 6*t^8.57 + t^8.6/g1^6 + 2*g1^2*t^8.71 + 4*g1^4*t^8.84 - (5*t^8.87)/g1^2 + 3*g1^6*t^8.98 - t^4.29/y - t^6.43/y - (g1^2*t^6.56)/y - (g1^2*t^6.99)/y - t^7.15/(g1^2*y) + t^7.29/y + (3*g1^2*t^7.42)/y + t^7.58/(g1^2*y) + (2*g1^2*t^7.85)/y + (g1^4*t^7.98)/y + (3*t^8.01)/(g1^2*y) + (4*t^8.14)/y + (g1^2*t^8.28)/y + (4*t^8.57)/y + (4*g1^2*t^8.71)/y + t^8.87/(g1^2*y) - t^4.29*y - t^6.43*y - g1^2*t^6.56*y - g1^2*t^6.99*y - (t^7.15*y)/g1^2 + t^7.29*y + 3*g1^2*t^7.42*y + (t^7.58*y)/g1^2 + 2*g1^2*t^7.85*y + g1^4*t^7.98*y + (3*t^8.01*y)/g1^2 + 4*t^8.14*y + g1^2*t^8.28*y + 4*t^8.57*y + 4*g1^2*t^8.71*y + (t^8.87*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5852 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_1M_8$ | 0.5764 | 0.7327 | 0.7867 | [X:[], M:[0.9286, 1.1429, 0.7857, 0.7143, 1.0, 1.2857, 0.7143, 1.0714], q:[0.8214, 0.25], qb:[0.4643, 0.75], phi:[0.4286]] | 2*t^2.14 + t^2.36 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^4.07 + 3*t^4.29 + 2*t^4.5 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 5*t^5.57 + 2*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 50613/87808, c: 64333/87808, M1: 13/14, M2: 8/7, M3: 11/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 15/14, q1: 23/28, q2: 1/4, qb1: 13/28, qb2: 3/4, phi1: 3/7} |
| 5842 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6217 | 0.8002 | 0.7769 | [X:[], M:[0.7857, 1.1429, 0.9286, 0.7143, 1.0, 1.2857, 0.7143, 0.9286, 0.7857], q:[0.8929, 0.3214], qb:[0.3929, 0.6786], phi:[0.4286]] | 2*t^2.14 + 2*t^2.36 + 2*t^2.79 + t^3. + 2*t^3.43 + 3*t^4.29 + 4*t^4.5 + 4*t^4.71 + 4*t^4.93 + 6*t^5.14 + 2*t^5.36 + 6*t^5.57 + 4*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 13647/21952, c: 17567/21952, M1: 11/14, M2: 8/7, M3: 13/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 13/14, M9: 11/14, q1: 25/28, q2: 9/28, qb1: 11/28, qb2: 19/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2364 | 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5981 | 0.7588 | 0.7882 | [X:[], M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + t^4.71 + t^4.82 + 2*t^4.88 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 4*t^5.57 + 3*t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |