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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[0, 0], [-4, -4], [-8, 0], [4, -4], [0, 0]], 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_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_4^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_5$ | -2 | 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^6.3 + t^6.34 + t^6.36 - t^6.37 + 2*t^6.66 + t^6.7 + t^6.73 + 3*t^6.96 + t^6.99 + 2*t^7. + 3*t^7.03 + 3*t^7.26 + t^7.29 + 3*t^7.3 + t^7.32 + 4*t^7.33 + t^7.34 + t^7.36 + t^7.4 + t^7.59 + 5*t^7.63 + 3*t^7.66 + t^7.69 + 2*t^7.7 + t^7.73 + t^7.89 + t^7.93 + 2*t^7.96 - 3*t^7.97 + 3*t^7.99 + t^8. + t^8.03 + 2*t^8.06 + t^8.07 + t^8.1 + t^8.3 - 2*t^8.33 - 2*t^8.34 + 2*t^8.36 + t^8.37 - 6*t^8.63 + t^8.66 + t^8.67 + t^8.69 - 5*t^8.7 - t^8.71 + t^8.73 - t^8.93 + 3*t^8.97 + 2*t^8.99 - t^4.33/y - t^6.66/y - t^6.96/y - t^7./y - t^7.03/y + t^7.63/y + t^7.67/y + t^7.7/y + t^7.96/y + t^7.99/y + t^8./y + t^8.03/y + t^8.3/y + (3*t^8.33)/y + t^8.36/y + (2*t^8.63)/y + (2*t^8.66)/y + (2*t^8.7)/y - t^8.99/y - t^4.33*y - t^6.66*y - t^6.96*y - t^7.*y - t^7.03*y + t^7.63*y + t^7.67*y + t^7.7*y + t^7.96*y + t^7.99*y + t^8.*y + t^8.03*y + t^8.3*y + 3*t^8.33*y + t^8.36*y + 2*t^8.63*y + 2*t^8.66*y + 2*t^8.7*y - t^8.99*y | t^2.33/(g1^4*g2^4) + (g1^4*t^2.63)/g2^4 + t^2.66/(g1^2*g2^2) + t^2.7/g1^8 + 2*t^3. + g1^4*g2^4*t^3.67 + t^4.03/(g1^9*g2) + (2*t^4.33)/(g1*g2) + (3*g1^7*t^4.63)/g2 + t^4.66/(g1^8*g2^8) + (g2^3*t^4.7)/g1^5 + t^4.96/g2^8 + t^4.99/(g1^6*g2^6) + 2*g1^3*g2^3*t^5. + t^5.03/(g1^12*g2^4) + (g1^8*t^5.26)/g2^8 + (g1^2*t^5.3)/g2^6 + (3*t^5.33)/(g1^4*g2^4) + t^5.36/(g1^10*g2^2) + (g2^7*t^5.37)/g1 + t^5.4/g1^16 + (2*t^5.66)/(g1^2*g2^2) - 2*t^6. - g1^8*t^6.3 + g1^2*g2^2*t^6.34 + t^6.36/(g1^13*g2^5) - (g2^4*t^6.37)/g1^4 + (2*t^6.66)/(g1^5*g2^5) + t^6.7/(g1^11*g2^3) + t^6.73/(g1^17*g2) + (3*g1^3*t^6.96)/g2^5 + t^6.99/(g1^12*g2^12) + (2*t^7.)/(g1^3*g2^3) + (3*t^7.03)/(g1^9*g2) + (3*g1^11*t^7.26)/g2^5 + t^7.29/(g1^4*g2^12) + (3*g1^5*t^7.3)/g2^3 + t^7.32/(g1^10*g2^10) + (4*t^7.33)/(g1*g2) + g1^8*g2^8*t^7.34 + t^7.36/(g1^16*g2^8) + (g2^3*t^7.4)/g1^13 + (g1^4*t^7.59)/g2^12 + t^7.63/(g1^2*g2^10) + (4*g1^7*t^7.63)/g2 + (3*t^7.66)/(g1^8*g2^8) + t^7.69/(g1^14*g2^6) + (2*g2^3*t^7.7)/g1^5 + t^7.73/(g1^20*g2^4) + (g1^12*t^7.89)/g2^12 + (g1^6*t^7.93)/g2^10 + (2*t^7.96)/g2^8 - 3*g1^9*g2*t^7.97 + (3*t^7.99)/(g1^6*g2^6) + g1^3*g2^3*t^8. + t^8.03/(g1^12*g2^4) + (2*t^8.06)/(g1^18*g2^2) + (g2^7*t^8.07)/g1^9 + t^8.1/g1^24 + g1^11*g2^3*t^8.3 - (2*t^8.33)/(g1^4*g2^4) - 2*g1^5*g2^5*t^8.34 + (2*t^8.36)/(g1^10*g2^2) + (g2^7*t^8.37)/g1 - (6*g1^4*t^8.63)/g2^4 + t^8.66/(g1^2*g2^2) + g1^7*g2^7*t^8.67 + t^8.69/(g1^17*g2^9) - (5*t^8.7)/g1^8 - g1*g2^9*t^8.71 + (g2^2*t^8.73)/g1^14 - (g1^12*t^8.93)/g2^4 + (3*g1^6*t^8.97)/g2^2 + (2*t^8.99)/(g1^9*g2^9) - t^4.33/(g1*g2*y) - t^6.66/(g1^5*g2^5*y) - (g1^3*t^6.96)/(g2^5*y) - t^7./(g1^3*g2^3*y) - t^7.03/(g1^9*g2*y) + (g1^7*t^7.63)/(g2*y) + (g1*g2*t^7.67)/y + (g2^3*t^7.7)/(g1^5*y) + t^7.96/(g2^8*y) + t^7.99/(g1^6*g2^6*y) + (g1^3*g2^3*t^8.)/y + t^8.03/(g1^12*g2^4*y) + (g1^2*t^8.3)/(g2^6*y) + (3*t^8.33)/(g1^4*g2^4*y) + t^8.36/(g1^10*g2^2*y) + (2*g1^4*t^8.63)/(g2^4*y) + (2*t^8.66)/(g1^2*g2^2*y) + (2*t^8.7)/(g1^8*y) - t^8.99/(g1^9*g2^9*y) - (t^4.33*y)/(g1*g2) - (t^6.66*y)/(g1^5*g2^5) - (g1^3*t^6.96*y)/g2^5 - (t^7.*y)/(g1^3*g2^3) - (t^7.03*y)/(g1^9*g2) + (g1^7*t^7.63*y)/g2 + g1*g2*t^7.67*y + (g2^3*t^7.7*y)/g1^5 + (t^7.96*y)/g2^8 + (t^7.99*y)/(g1^6*g2^6) + g1^3*g2^3*t^8.*y + (t^8.03*y)/(g1^12*g2^4) + (g1^2*t^8.3*y)/g2^6 + (3*t^8.33*y)/(g1^4*g2^4) + (t^8.36*y)/(g1^10*g2^2) + (2*g1^4*t^8.63*y)/g2^4 + (2*t^8.66*y)/(g1^2*g2^2) + (2*t^8.7*y)/g1^8 - (t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 917 | $M_1q_1q_2$ + $ 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_2M_3$ | 0.702 | 0.8612 | 0.8151 | [X:[], M:[1.0, 0.937, 1.063, 0.874, 1.0], q:[0.4685, 0.5315], qb:[0.4685, 0.5945], phi:[0.4843]] | t^2.62 + t^2.81 + t^2.91 + 2*t^3. + 2*t^3.19 + 3*t^4.26 + 2*t^4.45 + 3*t^4.64 + t^4.83 + t^5.02 + t^5.24 + t^5.43 + t^5.53 + t^5.62 + t^5.72 + 2*t^5.81 + 2*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 913 | $M_1q_1q_2$ + $ 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_2M_4$ | 0.7017 | 0.8608 | 0.8152 | [X:[], M:[1.0, 0.9396, 0.8792, 1.0604, 1.0], q:[0.5604, 0.4396], qb:[0.5604, 0.5], phi:[0.4849]] | t^2.64 + t^2.82 + t^2.91 + 2*t^3. + 2*t^3.18 + t^4.09 + t^4.27 + 3*t^4.45 + 2*t^4.64 + 3*t^4.82 + t^5.28 + t^5.46 + t^5.55 + t^5.64 + t^5.73 + 2*t^5.82 + 2*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 914 | $M_1q_1q_2$ + $ 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_3\phi_1^2$ | 0.7092 | 0.8704 | 0.8148 | [X:[], M:[1.0, 0.8939, 1.053, 0.8409, 1.0], q:[0.4735, 0.5265], qb:[0.4735, 0.6326], phi:[0.4735]] | t^2.52 + t^2.68 + t^2.84 + 2*t^3. + t^3.16 + t^3.32 + 3*t^4.26 + 2*t^4.42 + t^4.58 + 2*t^4.74 + t^4.9 + t^5.05 + t^5.2 + t^5.22 + 2*t^5.36 + t^5.52 + 3*t^5.68 + 2*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 915 | $M_1q_1q_2$ + $ 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_3^2$ | 0.7215 | 0.8862 | 0.8142 | [X:[], M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | 2*t^2.46 + t^2.73 + 3*t^3. + t^3.54 + 6*t^4.36 + 3*t^4.91 + 3*t^4.92 + 2*t^5.19 + t^5.45 + 4*t^5.46 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 912 | $M_1q_1q_2$ + $ 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_4\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y | detail | |
| 918 | $M_1q_1q_2$ + $ 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_4^2$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[1.0, 0.8377, 0.8377, 1.0, 1.0], q:[0.5812, 0.4188], qb:[0.5812, 0.5812], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 916 | $M_1q_1q_2$ + $ 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]] | 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. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | 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$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |