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 |
|---|---|---|---|---|---|---|---|---|---|
| 916 | 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_5^2$ + $ M_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[1.0, 0.7502, 0.889, 0.8612, 1.0, 0.7502], q:[0.5555, 0.4445], qb:[0.5555, 0.6943], phi:[0.4375]] | [X:[], M:[[0, 0], [-4, -4], [-8, 0], [4, -4], [0, 0], [-4, -4]], q:[[4, 0], [-4, 0]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_5$ | -3 | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. + 2*t^6.23 - 2*t^6.33 - 2*t^6.42 + 4*t^6.56 + t^6.6 + t^6.65 + 2*t^6.75 + 6*t^6.9 + 2*t^6.94 + 4*t^6.98 + 3*t^7.08 + 3*t^7.13 + 3*t^7.17 + 3*t^7.23 + 3*t^7.27 + 6*t^7.31 + t^7.4 + 2*t^7.42 + 2*t^7.46 + 8*t^7.5 + 2*t^7.54 + 2*t^7.58 + 4*t^7.65 + 2*t^7.73 + t^7.75 + t^7.79 + 2*t^7.83 + 5*t^7.88 + t^7.92 + 2*t^7.96 + t^8. - 3*t^8.02 - t^8.06 + t^8.15 - 6*t^8.25 + 2*t^8.29 - 2*t^8.4 - 2*t^8.44 + 3*t^8.48 - 9*t^8.58 - 8*t^8.67 + t^8.71 + 5*t^8.81 - t^8.85 + 2*t^8.86 + 2*t^8.9 - 2*t^8.92 + 2*t^8.96 - t^4.31/y - (2*t^6.56)/y - t^6.9/y - t^6.94/y - t^6.98/y + t^7.5/y + t^7.65/y + t^7.69/y + t^7.73/y + (2*t^7.83)/y + (2*t^7.88)/y + (2*t^7.92)/y + (2*t^8.06)/y + t^8.21/y + (5*t^8.25)/y + t^8.29/y + (2*t^8.58)/y + (2*t^8.63)/y + (2*t^8.67)/y - (3*t^8.81)/y - t^4.31*y - 2*t^6.56*y - t^6.9*y - t^6.94*y - t^6.98*y + t^7.5*y + t^7.65*y + t^7.69*y + t^7.73*y + 2*t^7.83*y + 2*t^7.88*y + 2*t^7.92*y + 2*t^8.06*y + t^8.21*y + 5*t^8.25*y + t^8.29*y + 2*t^8.58*y + 2*t^8.63*y + 2*t^8.67*y - 3*t^8.81*y | (2*t^2.25)/(g1^4*g2^4) + (g1^4*t^2.58)/g2^4 + t^2.63/(g1^2*g2^2) + t^2.67/g1^8 + 2*t^3. + t^3.98/(g1^9*g2) + (2*t^4.31)/(g1*g2) + (3*t^4.5)/(g1^8*g2^8) + (3*g1^7*t^4.65)/g2 + (g2^3*t^4.73)/g1^5 + (2*t^4.83)/g2^8 + (2*t^4.88)/(g1^6*g2^6) + (2*t^4.92)/(g1^12*g2^4) + 2*g1^3*g2^3*t^5.06 + (g1^8*t^5.17)/g2^8 + (g1^2*t^5.21)/g2^6 + (5*t^5.25)/(g1^4*g2^4) + t^5.29/(g1^10*g2^2) + t^5.33/g1^16 + (g2^7*t^5.48)/g1 + (2*t^5.63)/(g1^2*g2^2) - 3*t^6. + (2*t^6.23)/(g1^13*g2^5) - 2*g1^8*t^6.33 - (2*g2^4*t^6.42)/g1^4 + (4*t^6.56)/(g1^5*g2^5) + t^6.6/(g1^11*g2^3) + t^6.65/(g1^17*g2) + (4*t^6.75)/(g1^12*g2^12) - 2*g1^4*g2^4*t^6.75 + (6*g1^3*t^6.9)/g2^5 + (2*t^6.94)/(g1^3*g2^3) + (4*t^6.98)/(g1^9*g2) + (3*t^7.08)/(g1^4*g2^12) + (3*t^7.13)/(g1^10*g2^10) + (3*t^7.17)/(g1^16*g2^8) + (3*g1^11*t^7.23)/g2^5 + (3*g1^5*t^7.27)/g2^3 + (6*t^7.31)/(g1*g2) + (g2^3*t^7.4)/g1^13 + (2*g1^4*t^7.42)/g2^12 + (2*t^7.46)/(g1^2*g2^10) + (8*t^7.5)/(g1^8*g2^8) + (2*t^7.54)/(g1^14*g2^6) + (2*t^7.58)/(g1^20*g2^4) + (4*g1^7*t^7.65)/g2 + (2*g2^3*t^7.73)/g1^5 + (g1^12*t^7.75)/g2^12 + (g1^6*t^7.79)/g2^10 + (2*t^7.83)/g2^8 + (5*t^7.88)/(g1^6*g2^6) + t^7.92/(g1^12*g2^4) + (2*t^7.96)/(g1^18*g2^2) + t^8./g1^24 - 3*g1^9*g2*t^8.02 - g1^3*g2^3*t^8.06 + (g2^7*t^8.15)/g1^9 - (6*t^8.25)/(g1^4*g2^4) + (2*t^8.29)/(g1^10*g2^2) - 2*g1^11*g2^3*t^8.4 - 2*g1^5*g2^5*t^8.44 + (3*t^8.48)/(g1^17*g2^9) - (9*g1^4*t^8.58)/g2^4 - (8*t^8.67)/g1^8 + (g2^2*t^8.71)/g1^14 + (6*t^8.81)/(g1^9*g2^9) - g1^7*g2^7*t^8.81 - g1*g2^9*t^8.85 + (2*t^8.86)/(g1^15*g2^7) + (2*t^8.9)/(g1^21*g2^5) - (2*g1^12*t^8.92)/g2^4 + (2*g1^6*t^8.96)/g2^2 - t^4.31/(g1*g2*y) - (2*t^6.56)/(g1^5*g2^5*y) - (g1^3*t^6.9)/(g2^5*y) - t^6.94/(g1^3*g2^3*y) - t^6.98/(g1^9*g2*y) + t^7.5/(g1^8*g2^8*y) + (g1^7*t^7.65)/(g2*y) + (g1*g2*t^7.69)/y + (g2^3*t^7.73)/(g1^5*y) + (2*t^7.83)/(g2^8*y) + (2*t^7.88)/(g1^6*g2^6*y) + (2*t^7.92)/(g1^12*g2^4*y) + (2*g1^3*g2^3*t^8.06)/y + (g1^2*t^8.21)/(g2^6*y) + (5*t^8.25)/(g1^4*g2^4*y) + t^8.29/(g1^10*g2^2*y) + (2*g1^4*t^8.58)/(g2^4*y) + (2*t^8.63)/(g1^2*g2^2*y) + (2*t^8.67)/(g1^8*y) - (3*t^8.81)/(g1^9*g2^9*y) - (t^4.31*y)/(g1*g2) - (2*t^6.56*y)/(g1^5*g2^5) - (g1^3*t^6.9*y)/g2^5 - (t^6.94*y)/(g1^3*g2^3) - (t^6.98*y)/(g1^9*g2) + (t^7.5*y)/(g1^8*g2^8) + (g1^7*t^7.65*y)/g2 + g1*g2*t^7.69*y + (g2^3*t^7.73*y)/g1^5 + (2*t^7.83*y)/g2^8 + (2*t^7.88*y)/(g1^6*g2^6) + (2*t^7.92*y)/(g1^12*g2^4) + 2*g1^3*g2^3*t^8.06*y + (g1^2*t^8.21*y)/g2^6 + (5*t^8.25*y)/(g1^4*g2^4) + (t^8.29*y)/(g1^10*g2^2) + (2*g1^4*t^8.58*y)/g2^4 + (2*t^8.63*y)/(g1^2*g2^2) + (2*t^8.67*y)/g1^8 - (3*t^8.81*y)/(g1^9*g2^9) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1402 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_3$ | 0.7086 | 0.8735 | 0.8112 | [X:[], M:[1.0, 0.9207, 1.0793, 0.8413, 1.0, 0.9207], q:[0.4603, 0.5397], qb:[0.4603, 0.619], phi:[0.4802]] | t^2.52 + 2*t^2.76 + t^2.88 + 2*t^3. + t^3.24 + 3*t^4.2 + 2*t^4.44 + 3*t^4.68 + t^4.92 + t^5.05 + t^5.15 + 2*t^5.29 + t^5.4 + 3*t^5.52 + 2*t^5.64 + 3*t^5.76 + 2*t^5.88 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 1403 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4^2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[1.0, 0.8102, 0.8102, 1.0, 1.0, 0.8102], q:[0.5949, 0.4051], qb:[0.5949, 0.5949], phi:[0.4525]] | 3*t^2.43 + t^2.72 + 3*t^3. + t^3.79 + 3*t^4.36 + 6*t^4.86 + 6*t^4.93 + 3*t^5.15 + 7*t^5.43 + 3*t^5.72 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1404 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7686 | 0.9726 | 0.7902 | [X:[], M:[1.0, 0.7511, 0.8907, 0.8603, 1.0, 0.7511, 0.6715], q:[0.5546, 0.4454], qb:[0.5546, 0.6943], phi:[0.4378]] | t^2.01 + 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^4.03 + 2*t^4.27 + 2*t^4.31 + 3*t^4.51 + t^4.6 + 4*t^4.64 + t^4.69 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.93 + 2*t^5.01 + 2*t^5.06 + t^5.16 + t^5.21 + 5*t^5.25 + t^5.3 + t^5.34 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 588 | 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_5^2$ + $ M_1^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail |