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 |
|---|---|---|---|---|---|---|---|---|---|
| 2336 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ | 0.7123 | 0.8808 | 0.8087 | [X:[], M:[0.9133, 1.0434, 1.0, 1.0867, 0.8265, 0.9133, 0.9133], q:[0.4566, 0.6301], qb:[0.4566, 0.5434], phi:[0.4783]] | [X:[], M:[[-4], [2], [0], [4], [-8], [-4], [-4]], q:[[-2], [6]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ M_7$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_5$, $ M_5M_6$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ M_1M_3$, $ M_3M_6$, $ M_3M_7$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$ | $q_1^2\tilde{q}_2^2$ | -3 | t^2.48 + 3*t^2.74 + 2*t^3. + t^3.13 + 3*t^4.17 + 2*t^4.43 + 3*t^4.7 + 2*t^4.96 + 4*t^5.22 + 6*t^5.48 + t^5.61 + 3*t^5.74 + 3*t^5.87 - 3*t^6. + 2*t^6.13 - 3*t^6.26 - 2*t^6.52 + 3*t^6.65 + 9*t^6.91 + 10*t^7.17 + 6*t^7.43 + t^7.44 + 5*t^7.7 + 6*t^7.96 + t^8.09 + 8*t^8.22 + 8*t^8.35 - 2*t^8.48 + 10*t^8.61 - 14*t^8.74 + 10*t^8.87 - t^4.43/y - t^6.91/y - (2*t^7.17)/y + (2*t^7.7)/y + t^7.96/y + (3*t^8.22)/y + (5*t^8.48)/y + t^8.61/y + (6*t^8.74)/y + (3*t^8.87)/y - t^4.43*y - t^6.91*y - 2*t^7.17*y + 2*t^7.7*y + t^7.96*y + 3*t^8.22*y + 5*t^8.48*y + t^8.61*y + 6*t^8.74*y + 3*t^8.87*y | t^2.48/g1^8 + (3*t^2.74)/g1^4 + 2*t^3. + g1^2*t^3.13 + (3*t^4.17)/g1^5 + (2*t^4.43)/g1 + 3*g1^3*t^4.7 + t^4.96/g1^16 + g1^7*t^4.96 + (3*t^5.22)/g1^12 + g1^11*t^5.22 + (6*t^5.48)/g1^8 + t^5.61/g1^6 + (3*t^5.74)/g1^4 + (3*t^5.87)/g1^2 - 3*t^6. + 2*g1^2*t^6.13 - 3*g1^4*t^6.26 - 2*g1^8*t^6.52 + (3*t^6.65)/g1^13 + (9*t^6.91)/g1^9 + (10*t^7.17)/g1^5 + (6*t^7.43)/g1 + t^7.44/g1^24 + (3*t^7.7)/g1^20 + 2*g1^3*t^7.7 + (6*t^7.96)/g1^16 + t^8.09/g1^14 + (8*t^8.22)/g1^12 + (8*t^8.35)/g1^10 - (2*t^8.48)/g1^8 + (10*t^8.61)/g1^6 - (14*t^8.74)/g1^4 + (10*t^8.87)/g1^2 - t^4.43/(g1*y) - t^6.91/(g1^9*y) - (2*t^7.17)/(g1^5*y) + (2*g1^3*t^7.7)/y + (g1^7*t^7.96)/y + (3*t^8.22)/(g1^12*y) + (5*t^8.48)/(g1^8*y) + t^8.61/(g1^6*y) + (6*t^8.74)/(g1^4*y) + (3*t^8.87)/(g1^2*y) - (t^4.43*y)/g1 - (t^6.91*y)/g1^9 - (2*t^7.17*y)/g1^5 + 2*g1^3*t^7.7*y + g1^7*t^7.96*y + (3*t^8.22*y)/g1^12 + (5*t^8.48*y)/g1^8 + (t^8.61*y)/g1^6 + (6*t^8.74*y)/g1^4 + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 4326 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.5904 | 0.7511 | 0.786 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.7143], q:[0.3571, 0.9286], qb:[0.3571, 0.6429], phi:[0.4286]] | 3*t^2.14 + 2*t^3. + 4*t^3.43 + 6*t^4.29 + t^4.71 + 6*t^5.14 + 10*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 405/686, c: 2061/2744, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, M7: 5/7, q1: 5/14, q2: 13/14, qb1: 5/14, qb2: 9/14, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1306 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_2\tilde{q}_1$ | 0.705 | 0.8668 | 0.8134 | [X:[], M:[0.929, 1.0355, 1.0, 1.071, 0.858, 0.929], q:[0.4645, 0.6065], qb:[0.4645, 0.5355], phi:[0.4823]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.21 + 3*t^4.23 + 2*t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.57 + t^5.68 + 2*t^5.79 + 2*t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail |