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 |
|---|---|---|---|---|---|---|---|---|---|
| 3065 | 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_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ | 0.628 | 0.8172 | 0.7684 | [X:[], M:[1.0, 1.0283, 0.9433, 1.2571, 0.6862, 0.7429, 0.7429], q:[0.2429, 0.7571], qb:[0.5, 0.5567], phi:[0.4858]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [-1]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_5M_7$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_3M_7$, $ M_2M_5$, $ M_6\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_1M_6$, $ M_1M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2M_7$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -2 | t^2.06 + 2*t^2.23 + t^2.4 + t^2.83 + t^2.91 + t^3. + t^3.09 + t^3.69 + t^3.86 + t^4.12 + 2*t^4.29 + 5*t^4.46 + 3*t^4.63 + 2*t^4.8 + t^4.89 + t^4.97 + 2*t^5.06 + 3*t^5.14 + 2*t^5.23 + 3*t^5.31 + t^5.4 + t^5.48 + t^5.66 + 2*t^5.74 + t^5.83 + 4*t^5.91 - 2*t^6. + 3*t^6.09 - t^6.17 + t^6.18 + t^6.26 + 2*t^6.35 + 5*t^6.52 + 8*t^6.69 - t^6.77 + 6*t^6.86 - t^6.94 + t^6.95 + 5*t^7.03 + 2*t^7.12 + 5*t^7.2 + 3*t^7.29 + 7*t^7.37 + 2*t^7.46 + 5*t^7.54 + t^7.63 + 4*t^7.71 + t^7.72 + 3*t^7.8 + t^7.88 + 2*t^7.89 + 5*t^7.97 - t^8.06 + 8*t^8.14 - 5*t^8.23 + 6*t^8.31 - 4*t^8.4 + 3*t^8.48 + t^8.49 + 4*t^8.57 + 2*t^8.65 + 2*t^8.66 + 9*t^8.74 - 2*t^8.83 + 9*t^8.91 - t^4.46/y - t^6.52/y - t^6.69/y + t^7.29/y + (2*t^7.46)/y + (3*t^7.63)/y + t^7.89/y + t^7.97/y + (3*t^8.06)/y + (3*t^8.14)/y + (4*t^8.23)/y + (3*t^8.31)/y + (2*t^8.4)/y + t^8.48/y - t^8.57/y + t^8.74/y + t^8.83/y + (4*t^8.91)/y - t^4.46*y - t^6.52*y - t^6.69*y + t^7.29*y + 2*t^7.46*y + 3*t^7.63*y + t^7.89*y + t^7.97*y + 3*t^8.06*y + 3*t^8.14*y + 4*t^8.23*y + 3*t^8.31*y + 2*t^8.4*y + t^8.48*y - t^8.57*y + t^8.74*y + t^8.83*y + 4*t^8.91*y | t^2.06/g1^9 + (2*t^2.23)/g1 + g1^7*t^2.4 + t^2.83/g1^8 + t^2.91/g1^4 + t^3. + g1^4*t^3.09 + t^3.69/g1^3 + g1^5*t^3.86 + t^4.12/g1^18 + (2*t^4.29)/g1^10 + (5*t^4.46)/g1^2 + 3*g1^6*t^4.63 + 2*g1^14*t^4.8 + t^4.89/g1^17 + t^4.97/g1^13 + (2*t^5.06)/g1^9 + (3*t^5.14)/g1^5 + (2*t^5.23)/g1 + 3*g1^3*t^5.31 + g1^7*t^5.4 + g1^11*t^5.48 + t^5.66/g1^16 + (2*t^5.74)/g1^12 + t^5.83/g1^8 + (4*t^5.91)/g1^4 - 2*t^6. + 3*g1^4*t^6.09 - g1^8*t^6.17 + t^6.18/g1^27 + g1^12*t^6.26 + (2*t^6.35)/g1^19 + (5*t^6.52)/g1^11 + (8*t^6.69)/g1^3 - g1*t^6.77 + 6*g1^5*t^6.86 - g1^9*t^6.94 + t^6.95/g1^26 + t^7.03/g1^22 + 4*g1^13*t^7.03 + (2*t^7.12)/g1^18 + (3*t^7.2)/g1^14 + 2*g1^21*t^7.2 + (3*t^7.29)/g1^10 + (7*t^7.37)/g1^6 + (2*t^7.46)/g1^2 + 5*g1^2*t^7.54 + g1^6*t^7.63 + 4*g1^10*t^7.71 + t^7.72/g1^25 + (2*t^7.8)/g1^21 + g1^14*t^7.8 + g1^18*t^7.88 + (2*t^7.89)/g1^17 + (5*t^7.97)/g1^13 - t^8.06/g1^9 + (8*t^8.14)/g1^5 + t^8.23/g1^36 - (6*t^8.23)/g1 + 6*g1^3*t^8.31 + (2*t^8.4)/g1^28 - 6*g1^7*t^8.4 + 3*g1^11*t^8.48 + t^8.49/g1^24 + (6*t^8.57)/g1^20 - 2*g1^15*t^8.57 + 2*g1^19*t^8.65 + (2*t^8.66)/g1^16 + (9*t^8.74)/g1^12 - (2*t^8.83)/g1^8 + (9*t^8.91)/g1^4 - t^4.46/(g1^2*y) - t^6.52/(g1^11*y) - t^6.69/(g1^3*y) + t^7.29/(g1^10*y) + (2*t^7.46)/(g1^2*y) + (3*g1^6*t^7.63)/y + t^7.89/(g1^17*y) + t^7.97/(g1^13*y) + (3*t^8.06)/(g1^9*y) + (3*t^8.14)/(g1^5*y) + (4*t^8.23)/(g1*y) + (3*g1^3*t^8.31)/y + (2*g1^7*t^8.4)/y + (g1^11*t^8.48)/y - t^8.57/(g1^20*y) + t^8.74/(g1^12*y) + t^8.83/(g1^8*y) + (4*t^8.91)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.52*y)/g1^11 - (t^6.69*y)/g1^3 + (t^7.29*y)/g1^10 + (2*t^7.46*y)/g1^2 + 3*g1^6*t^7.63*y + (t^7.89*y)/g1^17 + (t^7.97*y)/g1^13 + (3*t^8.06*y)/g1^9 + (3*t^8.14*y)/g1^5 + (4*t^8.23*y)/g1 + 3*g1^3*t^8.31*y + 2*g1^7*t^8.4*y + g1^11*t^8.48*y - (t^8.57*y)/g1^20 + (t^8.74*y)/g1^12 + (t^8.83*y)/g1^8 + (4*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 4960 | $M_1q_1q_2$ + $ 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_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6461 | 0.8496 | 0.7605 | [X:[], M:[1.0, 1.0247, 0.9507, 1.2562, 0.6945, 0.7438, 0.7438, 0.7685], q:[0.2438, 0.7562], qb:[0.5, 0.5493], phi:[0.4877]] | t^2.08 + 2*t^2.23 + t^2.31 + t^2.38 + t^2.85 + t^2.93 + t^3. + t^3.07 + t^3.84 + t^4.17 + 2*t^4.32 + t^4.39 + 5*t^4.46 + 2*t^4.54 + 4*t^4.61 + t^4.68 + 2*t^4.76 + t^4.94 + t^5.01 + 2*t^5.08 + 4*t^5.16 + 3*t^5.23 + 4*t^5.31 + 2*t^5.38 + t^5.45 + t^5.7 + t^5.78 + t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4961 | $M_1q_1q_2$ + $ 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_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.6482 | 0.8558 | 0.7575 | [X:[], M:[1.0, 1.0313, 0.9375, 1.2578, 0.6796, 0.7422, 0.7422, 0.7109], q:[0.2422, 0.7578], qb:[0.5, 0.5625], phi:[0.4844]] | t^2.04 + t^2.13 + 2*t^2.23 + t^2.41 + t^2.81 + t^2.91 + t^3. + t^3.09 + t^3.68 + t^4.08 + t^4.17 + 3*t^4.27 + 2*t^4.36 + 5*t^4.45 + t^4.55 + 3*t^4.64 + 2*t^4.83 + t^4.85 + 2*t^4.95 + 3*t^5.04 + 4*t^5.13 + 3*t^5.23 + 3*t^5.32 + t^5.41 + t^5.51 + t^5.62 + 2*t^5.72 + 2*t^5.81 + 3*t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4959 | $M_1q_1q_2$ + $ 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_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ | 0.6258 | 0.8133 | 0.7694 | [X:[], M:[1.0, 1.0189, 0.9623, 1.2547, 0.7076, 0.7453, 0.7453, 1.0189], q:[0.2453, 0.7547], qb:[0.5, 0.5377], phi:[0.4906]] | t^2.12 + 2*t^2.24 + t^2.35 + t^2.89 + t^3. + 2*t^3.06 + t^3.71 + t^3.82 + t^4.25 + 2*t^4.36 + 5*t^4.47 + 3*t^4.58 + 2*t^4.7 + t^5.01 + 2*t^5.12 + 2*t^5.18 + 2*t^5.24 + 4*t^5.29 + t^5.35 + 2*t^5.41 + t^5.77 + t^5.83 + 4*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | 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_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |