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 |
|---|---|---|---|---|---|---|---|---|---|
| 1457 | 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_1^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.6945 | 0.8504 | 0.8167 | [X:[], M:[1.0, 0.9738, 1.0131, 0.9606, 1.0394, 0.9869], q:[0.5131, 0.4869], qb:[0.4738, 0.5525], phi:[0.4934]] | [X:[], M:[[0], [-4], [2], [-6], [6], [-2]], q:[[2], [-2]], qb:[[-4], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$ | . | -2 | t^2.88 + t^2.92 + 2*t^2.96 + t^3. + t^3.12 + t^3.2 + t^4.32 + t^4.36 + t^4.4 + t^4.44 + t^4.48 + 2*t^4.56 + t^4.6 + t^4.68 + t^4.8 + 3*t^5.84 + t^5.88 + 3*t^5.92 + t^5.96 - 2*t^6. + t^6.08 + 2*t^6.16 + t^6.31 + t^6.39 + t^7.2 + t^7.24 + 3*t^7.28 + 4*t^7.32 + t^7.36 + 2*t^7.4 + 2*t^7.44 + 4*t^7.52 + 3*t^7.56 - t^7.6 + t^7.64 + 2*t^7.68 + 3*t^7.76 + 2*t^7.8 - t^7.83 + t^7.87 + t^7.91 + t^7.99 + t^8.65 + t^8.69 + t^8.72 + 2*t^8.76 + 5*t^8.8 + t^8.84 + 3*t^8.88 - 4*t^8.96 - t^4.48/y - t^7.4/y - t^7.44/y + t^7.52/y + t^7.56/y + t^8.8/y + (2*t^8.84)/y + (3*t^8.88)/y + (2*t^8.92)/y + (2*t^8.96)/y - t^4.48*y - t^7.4*y - t^7.44*y + t^7.52*y + t^7.56*y + t^8.8*y + 2*t^8.84*y + 3*t^8.88*y + 2*t^8.92*y + 2*t^8.96*y | t^2.88/g1^6 + t^2.92/g1^4 + (2*t^2.96)/g1^2 + t^3. + g1^6*t^3.12 + g1^10*t^3.2 + t^4.32/g1^9 + t^4.36/g1^7 + t^4.4/g1^5 + t^4.44/g1^3 + t^4.48/g1 + 2*g1^3*t^4.56 + g1^5*t^4.6 + g1^9*t^4.68 + g1^15*t^4.8 + (3*t^5.84)/g1^8 + t^5.88/g1^6 + (3*t^5.92)/g1^4 + t^5.96/g1^2 - 2*t^6. + g1^4*t^6.08 + 2*g1^8*t^6.16 + g1^16*t^6.31 + g1^20*t^6.39 + t^7.2/g1^15 + t^7.24/g1^13 + (3*t^7.28)/g1^11 + (4*t^7.32)/g1^9 + t^7.36/g1^7 + (2*t^7.4)/g1^5 + (2*t^7.44)/g1^3 + 4*g1*t^7.52 + 3*g1^3*t^7.56 - g1^5*t^7.6 + g1^7*t^7.64 + 2*g1^9*t^7.68 + 3*g1^13*t^7.76 + 2*g1^15*t^7.8 - g1^17*t^7.83 + g1^19*t^7.87 + g1^21*t^7.91 + g1^25*t^7.99 + t^8.65/g1^18 + t^8.69/g1^16 + t^8.72/g1^14 + (2*t^8.76)/g1^12 + (5*t^8.8)/g1^10 + t^8.84/g1^8 + (3*t^8.88)/g1^6 - (4*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.4/(g1^5*y) - t^7.44/(g1^3*y) + (g1*t^7.52)/y + (g1^3*t^7.56)/y + t^8.8/(g1^10*y) + (2*t^8.84)/(g1^8*y) + (3*t^8.88)/(g1^6*y) + (2*t^8.92)/(g1^4*y) + (2*t^8.96)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.4*y)/g1^5 - (t^7.44*y)/g1^3 + g1*t^7.52*y + g1^3*t^7.56*y + (t^8.8*y)/g1^10 + (2*t^8.84*y)/g1^8 + (3*t^8.88*y)/g1^6 + (2*t^8.92*y)/g1^4 + (2*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 2533 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_5M_7$ | 0.6993 | 0.8588 | 0.8143 | [X:[], M:[1.0, 0.9582, 1.0209, 0.9372, 1.0628, 0.9791, 0.9372], q:[0.5209, 0.4791], qb:[0.4582, 0.5837], phi:[0.4895]] | 2*t^2.81 + t^2.87 + 2*t^2.94 + t^3. + t^3.31 + t^4.22 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.59 + t^4.66 + t^4.78 + t^4.97 + 2*t^5.62 + t^5.69 + 5*t^5.75 + 2*t^5.81 + 3*t^5.87 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 945 | 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_1^2$ + $ M_3\phi_1^2$ | 0.6934 | 0.8487 | 0.8171 | [X:[], M:[1.0, 0.979, 1.0105, 0.9685, 1.0315], q:[0.5105, 0.4895], qb:[0.479, 0.542], phi:[0.4948]] | t^2.91 + t^2.94 + t^2.97 + t^3. + t^3.03 + t^3.09 + t^3.16 + t^4.36 + t^4.39 + t^4.42 + t^4.45 + t^4.48 + 2*t^4.55 + t^4.58 + t^4.64 + t^4.74 + 2*t^5.87 + 2*t^5.94 + t^5.97 - t^6. - t^4.48/y - t^4.48*y | detail |