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 |
|---|---|---|---|---|---|---|---|---|---|
| 3108 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6463 | 0.8485 | 0.7618 | [X:[], M:[0.9789, 1.0632, 1.0211, 0.9368, 0.7447, 0.7868, 0.7868], q:[0.7447, 0.2763], qb:[0.4684, 0.4684], phi:[0.5105]] | [X:[], M:[[4], [-12], [-4], [12], [1], [-7], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_7$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4M_6$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_6$, $ M_3M_7$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 3*t^2.23 + 2*t^2.36 + t^2.81 + 2*t^3.06 + t^3.19 + t^3.77 + 3*t^4.34 + 6*t^4.47 + 6*t^4.59 + 3*t^4.72 + 3*t^5.04 + 2*t^5.17 + 6*t^5.3 + 5*t^5.42 + 2*t^5.55 + t^5.62 + t^5.87 - 2*t^6. + 3*t^6.13 + 2*t^6.25 + t^6.38 + 6*t^6.58 + 12*t^6.7 + 10*t^6.83 + 8*t^6.96 + 4*t^7.08 + 3*t^7.15 + 3*t^7.28 + 7*t^7.41 + 11*t^7.53 + 12*t^7.66 + 8*t^7.78 + 3*t^7.86 + 3*t^7.91 - 9*t^8.23 - t^8.36 + t^8.43 + 7*t^8.49 + 5*t^8.61 + 6*t^8.68 + 2*t^8.74 + 4*t^8.81 + 15*t^8.94 - t^4.53/y - t^6.77/y - (2*t^6.89)/y + (4*t^7.47)/y + (5*t^7.59)/y + t^7.72/y + (3*t^8.04)/y + (4*t^8.17)/y + (7*t^8.3)/y + (7*t^8.42)/y + (2*t^8.55)/y + (2*t^8.87)/y - t^4.53*y - t^6.77*y - 2*t^6.89*y + 4*t^7.47*y + 5*t^7.59*y + t^7.72*y + 3*t^8.04*y + 4*t^8.17*y + 7*t^8.3*y + 7*t^8.42*y + 2*t^8.55*y + 2*t^8.87*y | 3*g1*t^2.23 + (2*t^2.36)/g1^7 + g1^12*t^2.81 + (2*t^3.06)/g1^4 + t^3.19/g1^12 + t^3.77/g1 + 3*g1^10*t^4.34 + 6*g1^2*t^4.47 + (6*t^4.59)/g1^6 + (3*t^4.72)/g1^14 + 3*g1^13*t^5.04 + 2*g1^5*t^5.17 + (6*t^5.3)/g1^3 + (5*t^5.42)/g1^11 + (2*t^5.55)/g1^19 + g1^24*t^5.62 + g1^8*t^5.87 - 2*t^6. + (3*t^6.13)/g1^8 + (2*t^6.25)/g1^16 + t^6.38/g1^24 + 6*g1^11*t^6.58 + 12*g1^3*t^6.7 + (10*t^6.83)/g1^5 + (8*t^6.96)/g1^13 + (4*t^7.08)/g1^21 + 3*g1^22*t^7.15 + 3*g1^14*t^7.28 + 7*g1^6*t^7.41 + (11*t^7.53)/g1^2 + (12*t^7.66)/g1^10 + (8*t^7.78)/g1^18 + 3*g1^25*t^7.86 + (3*t^7.91)/g1^26 - 9*g1*t^8.23 - t^8.36/g1^7 + g1^36*t^8.43 + (7*t^8.49)/g1^15 + (5*t^8.61)/g1^23 + 6*g1^20*t^8.68 + (2*t^8.74)/g1^31 + 4*g1^12*t^8.81 + 15*g1^4*t^8.94 - t^4.53/(g1^2*y) - t^6.77/(g1*y) - (2*t^6.89)/(g1^9*y) + (4*g1^2*t^7.47)/y + (5*t^7.59)/(g1^6*y) + t^7.72/(g1^14*y) + (3*g1^13*t^8.04)/y + (4*g1^5*t^8.17)/y + (7*t^8.3)/(g1^3*y) + (7*t^8.42)/(g1^11*y) + (2*t^8.55)/(g1^19*y) + (2*g1^8*t^8.87)/y - (t^4.53*y)/g1^2 - (t^6.77*y)/g1 - (2*t^6.89*y)/g1^9 + 4*g1^2*t^7.47*y + (5*t^7.59*y)/g1^6 + (t^7.72*y)/g1^14 + 3*g1^13*t^8.04*y + 4*g1^5*t^8.17*y + (7*t^8.3*y)/g1^3 + (7*t^8.42*y)/g1^11 + (2*t^8.55*y)/g1^19 + 2*g1^8*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 |
|---|---|---|---|---|---|---|---|---|
| 4973 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.639 | 0.8396 | 0.761 | [X:[], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.7368, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + 3*t^2.53 + 2*t^3.16 + t^3.47 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 9*t^4.74 + 6*t^5.05 + 6*t^5.37 + 6*t^5.68 - t^4.58/y - t^4.58*y | detail | {a: 70125/109744, c: 46073/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 14/19, M6: 16/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 4974 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6545 | 0.863 | 0.7584 | [X:[], M:[0.9621, 1.1136, 1.0379, 0.8864, 0.7405, 0.8163, 0.8163, 0.8864], q:[0.7405, 0.2974], qb:[0.4432, 0.4432], phi:[0.5189]] | 3*t^2.22 + 2*t^2.45 + 2*t^2.66 + 2*t^3.11 + t^3.78 + 3*t^4.22 + 6*t^4.44 + 6*t^4.67 + 6*t^4.88 + 3*t^4.9 + 4*t^5.11 + 3*t^5.32 + 6*t^5.34 + 2*t^5.56 + 3*t^5.77 - 3*t^6. - t^4.56/y - t^4.56*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2038 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6294 | 0.8187 | 0.7688 | [X:[], M:[0.9719, 1.0844, 1.0281, 0.9156, 0.743, 0.7992], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.23 + t^2.4 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.6 + t^3.77 + 3*t^4.29 + 6*t^4.46 + 3*t^4.63 + t^4.8 + 3*t^4.98 + t^5.14 + 6*t^5.31 + 3*t^5.48 + t^5.49 + t^5.65 + 4*t^5.83 - t^6. - t^4.54/y - t^4.54*y | detail |