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 |
|---|---|---|---|---|---|---|---|---|---|
| 2563 | 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_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_3M_7$ | 0.6931 | 0.8495 | 0.8159 | [X:[], M:[0.9823, 1.0059, 1.0177, 0.9706, 1.0294, 0.9941, 0.9823], q:[0.5147, 0.5029], qb:[0.4676, 0.5265], phi:[0.4971]] | [X:[], M:[[-6], [2], [6], [-10], [10], [-2], [-6]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_7$, $ M_1^2$, $ M_4M_6$, $ M_1M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_1M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | . | -3 | t^2.91 + 2*t^2.95 + 2*t^2.98 + t^3.09 + t^3.12 + t^4.3 + t^4.4 + t^4.44 + t^4.47 + t^4.51 + t^4.54 + 2*t^4.58 + t^4.61 + t^4.65 + t^5.86 + 4*t^5.89 + 3*t^5.93 + t^5.96 - 3*t^6. + 3*t^6.07 + t^6.11 - t^6.14 + t^6.21 + t^6.25 + t^7.21 + 2*t^7.24 + 2*t^7.28 - t^7.31 + t^7.35 + 4*t^7.39 + 3*t^7.42 + t^7.46 + t^7.49 + 3*t^7.53 + 5*t^7.56 + 2*t^7.6 + t^7.63 + 2*t^7.7 + 2*t^7.74 + t^7.77 + t^8.59 + t^8.7 + t^8.74 + t^8.81 + 5*t^8.84 + 7*t^8.88 + t^8.91 - 5*t^8.95 - 6*t^8.98 - t^4.49/y - t^7.44/y - t^7.47/y + t^7.51/y + t^7.54/y + (2*t^8.86)/y + (3*t^8.89)/y + (4*t^8.93)/y + t^8.96/y - t^4.49*y - t^7.44*y - t^7.47*y + t^7.51*y + t^7.54*y + 2*t^8.86*y + 3*t^8.89*y + 4*t^8.93*y + t^8.96*y | t^2.91/g1^10 + (2*t^2.95)/g1^6 + (2*t^2.98)/g1^2 + g1^10*t^3.09 + g1^14*t^3.12 + t^4.3/g1^23 + t^4.4/g1^11 + t^4.44/g1^7 + t^4.47/g1^3 + g1*t^4.51 + g1^5*t^4.54 + 2*g1^9*t^4.58 + g1^13*t^4.61 + g1^17*t^4.65 + t^5.86/g1^16 + (4*t^5.89)/g1^12 + (3*t^5.93)/g1^8 + t^5.96/g1^4 - 3*t^6. + 3*g1^8*t^6.07 + g1^12*t^6.11 - g1^16*t^6.14 + g1^24*t^6.21 + g1^28*t^6.25 + t^7.21/g1^33 + (2*t^7.24)/g1^29 + (2*t^7.28)/g1^25 - t^7.31/g1^21 + t^7.35/g1^17 + (4*t^7.39)/g1^13 + (3*t^7.42)/g1^9 + t^7.46/g1^5 + t^7.49/g1 + 3*g1^3*t^7.53 + 5*g1^7*t^7.56 + 2*g1^11*t^7.6 + g1^15*t^7.63 + 2*g1^23*t^7.7 + 2*g1^27*t^7.74 + g1^31*t^7.77 + t^8.59/g1^46 + t^8.7/g1^34 + t^8.74/g1^30 + t^8.81/g1^22 + (5*t^8.84)/g1^18 + (7*t^8.88)/g1^14 + t^8.91/g1^10 - (5*t^8.95)/g1^6 - (6*t^8.98)/g1^2 - t^4.49/(g1*y) - t^7.44/(g1^7*y) - t^7.47/(g1^3*y) + (g1*t^7.51)/y + (g1^5*t^7.54)/y + (2*t^8.86)/(g1^16*y) + (3*t^8.89)/(g1^12*y) + (4*t^8.93)/(g1^8*y) + t^8.96/(g1^4*y) - (t^4.49*y)/g1 - (t^7.44*y)/g1^7 - (t^7.47*y)/g1^3 + g1*t^7.51*y + g1^5*t^7.54*y + (2*t^8.86*y)/g1^16 + (3*t^8.89*y)/g1^12 + (4*t^8.93*y)/g1^8 + (t^8.96*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4639 | $M_1q_1q_2$ + $ 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_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ + $ M_3M_7$ + $ M_5M_8$ | 0.6969 | 0.8568 | 0.8134 | [X:[], M:[0.9685, 1.0105, 1.0315, 0.9474, 1.0526, 0.9895, 0.9685, 0.9474], q:[0.5263, 0.5053], qb:[0.4422, 0.5473], phi:[0.4947]] | 2*t^2.84 + 2*t^2.91 + 2*t^2.97 + t^3.22 + t^4.14 + t^4.33 + t^4.39 + t^4.45 + t^4.52 + t^4.58 + 2*t^4.64 + t^4.7 + t^4.77 + 2*t^5.68 + 3*t^5.75 + 6*t^5.81 + 3*t^5.87 + t^5.94 - 4*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1486 | 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_2\phi_1^2$ + $ M_1M_3$ + $ M_2M_6$ | 0.6918 | 0.8476 | 0.8162 | [X:[], M:[0.991, 1.003, 1.009, 0.9849, 1.0151, 0.997], q:[0.5075, 0.5015], qb:[0.4834, 0.5136], phi:[0.4985]] | t^2.95 + t^2.97 + 2*t^2.99 + t^3.03 + t^3.05 + t^3.06 + t^4.4 + t^4.45 + t^4.47 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.54 + t^4.56 + t^4.58 + 2*t^5.95 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.5/y - t^4.5*y | detail |