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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-4, 1, 0], [0, -1, -4], [-4, -1, 0], [0, 1, -4], [0, 0, 0]], q:[[4, 0, 0], [0, -1, 0]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$, $ M_2M_4$, $ M_2^2$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$ | . | -7 | 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^6.49 + 11*t^6.76 + 16*t^7.25 + 35*t^7.52 + 8*t^7.75 + t^7.97 - 2*t^8.01 - 5*t^8.24 - 30*t^8.51 - 3*t^8.73 - t^4.25/y - (5*t^6.76)/y + (5*t^7.75)/y + (10*t^8.01)/y + (5*t^8.51)/y - t^4.25*y - 5*t^6.76*y + 5*t^7.75*y + 10*t^8.01*y + 5*t^8.51*y | t^2.51/(g1^4*g2) + (g2*t^2.51)/g1^4 + t^2.51/(g2*g3^4) + (g2*t^2.51)/g3^4 + t^2.51/(g1^2*g3^2) + t^3. + g1^4*g3^4*t^3.99 + t^4.25/(g1*g3) + t^4.25/(g1*g2^2*g3) + (g2^2*t^4.25)/(g1*g3) + (g1^3*t^4.75)/(g2*g3) + (g1^3*g2*t^4.75)/g3 + (g3^3*t^4.75)/(g1*g2) + (g2*g3^3*t^4.75)/g1 + t^5.01/g1^8 + t^5.01/(g1^8*g2^2) + (g2^2*t^5.01)/g1^8 + t^5.01/g3^8 + t^5.01/(g2^2*g3^8) + (g2^2*t^5.01)/g3^8 + t^5.01/(g1^2*g2*g3^6) + (g2*t^5.01)/(g1^2*g3^6) + (3*t^5.01)/(g1^4*g3^4) + t^5.01/(g1^4*g2^2*g3^4) + (g2^2*t^5.01)/(g1^4*g3^4) + t^5.01/(g1^6*g2*g3^2) + (g2*t^5.01)/(g1^6*g3^2) + (g1^7*t^5.24)/g3 + g1^3*g3^3*t^5.24 + (g3^7*t^5.24)/g1 + t^5.51/(g1^2*g3^2) - 3*t^6. - t^6./g2^2 - g2^2*t^6. - (g1^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 + g1^2*g3^2*t^6.49 + t^6.76/(g1*g2^3*g3^5) + t^6.76/(g1*g2*g3^5) + (g2*t^6.76)/(g1*g3^5) + (g2^3*t^6.76)/(g1*g3^5) + t^6.76/(g1^3*g3^3) + t^6.76/(g1^3*g2^2*g3^3) + (g2^2*t^6.76)/(g1^3*g3^3) + t^6.76/(g1^5*g2^3*g3) + t^6.76/(g1^5*g2*g3) + (g2*t^6.76)/(g1^5*g3) + (g2^3*t^6.76)/(g1^5*g3) + (g1^3*t^7.25)/g3^5 + (g1^3*t^7.25)/(g2^2*g3^5) + (g1^3*g2^2*t^7.25)/g3^5 + (g1*t^7.25)/(g2*g3^3) + (g1*g2*t^7.25)/g3^3 + (2*t^7.25)/(g1*g3) + (2*t^7.25)/(g1*g2^2*g3) + (2*g2^2*t^7.25)/(g1*g3) + (g3*t^7.25)/(g1^3*g2) + (g2*g3*t^7.25)/g1^3 + (g3^3*t^7.25)/g1^5 + (g3^3*t^7.25)/(g1^5*g2^2) + (g2^2*g3^3*t^7.25)/g1^5 + t^7.52/(g1^12*g2^3) + t^7.52/(g1^12*g2) + (g2*t^7.52)/g1^12 + (g2^3*t^7.52)/g1^12 + t^7.52/(g2^3*g3^12) + t^7.52/(g2*g3^12) + (g2*t^7.52)/g3^12 + (g2^3*t^7.52)/g3^12 + t^7.52/(g1^2*g3^10) + t^7.52/(g1^2*g2^2*g3^10) + (g2^2*t^7.52)/(g1^2*g3^10) + t^7.52/(g1^4*g2^3*g3^8) + (3*t^7.52)/(g1^4*g2*g3^8) + (3*g2*t^7.52)/(g1^4*g3^8) + (g2^3*t^7.52)/(g1^4*g3^8) + (3*t^7.52)/(g1^6*g3^6) + t^7.52/(g1^6*g2^2*g3^6) + (g2^2*t^7.52)/(g1^6*g3^6) + t^7.52/(g1^8*g2^3*g3^4) + (3*t^7.52)/(g1^8*g2*g3^4) + (3*g2*t^7.52)/(g1^8*g3^4) + (g2^3*t^7.52)/(g1^8*g3^4) + t^7.52/(g1^10*g3^2) + t^7.52/(g1^10*g2^2*g3^2) + (g2^2*t^7.52)/(g1^10*g3^2) + (g1^7*t^7.75)/(g2*g3^5) + (g1^7*g2*t^7.75)/g3^5 + (g1^5*t^7.75)/g3^3 + (g1^3*t^7.75)/(g2*g3) + (g1^3*g2*t^7.75)/g3 - (g1*g3*t^7.75)/g2^2 - g1*g2^2*g3*t^7.75 + (g3^3*t^7.75)/(g1*g2) + (g2*g3^3*t^7.75)/g1 + (g3^5*t^7.75)/g1^3 + (g3^7*t^7.75)/(g1^5*g2) + (g2*g3^7*t^7.75)/g1^5 + g1^8*g3^8*t^7.97 - t^8.01/(g1^4*g2^2*g3^4) - (g2^2*t^8.01)/(g1^4*g3^4) - (g1^5*g3*t^8.24)/g2 - g1^5*g2*g3*t^8.24 - g1^3*g3^3*t^8.24 - (g1*g3^5*t^8.24)/g2 - g1*g2*g3^5*t^8.24 - t^8.51/(g1^4*g2^3) - (5*t^8.51)/(g1^4*g2) - (5*g2*t^8.51)/g1^4 - (g2^3*t^8.51)/g1^4 - (g1^4*t^8.51)/(g2*g3^8) - (g1^4*g2*t^8.51)/g3^8 - (g1^2*t^8.51)/g3^6 - t^8.51/(g2^3*g3^4) - (5*t^8.51)/(g2*g3^4) - (5*g2*t^8.51)/g3^4 - (g2^3*t^8.51)/g3^4 - (2*t^8.51)/(g1^2*g3^2) + t^8.51/(g1^2*g2^4*g3^2) + (g2^4*t^8.51)/(g1^2*g3^2) - (g3^2*t^8.51)/g1^6 - (g3^4*t^8.51)/(g1^8*g2) - (g2*g3^4*t^8.51)/g1^8 - g1^9*g3*t^8.73 - g1^5*g3^5*t^8.73 - g1*g3^9*t^8.73 - t^4.25/(g1*g3*y) - t^6.76/(g1*g2*g3^5*y) - (g2*t^6.76)/(g1*g3^5*y) - t^6.76/(g1^3*g3^3*y) - t^6.76/(g1^5*g2*g3*y) - (g2*t^6.76)/(g1^5*g3*y) + (g1^3*t^7.75)/(g2*g3*y) + (g1^3*g2*t^7.75)/(g3*y) + (g1*g3*t^7.75)/y + (g3^3*t^7.75)/(g1*g2*y) + (g2*g3^3*t^7.75)/(g1*y) + t^8.01/(g1^8*y) + t^8.01/(g3^8*y) + t^8.01/(g1^2*g2*g3^6*y) + (g2*t^8.01)/(g1^2*g3^6*y) + (2*t^8.01)/(g1^4*g3^4*y) + t^8.01/(g1^4*g2^2*g3^4*y) + (g2^2*t^8.01)/(g1^4*g3^4*y) + t^8.01/(g1^6*g2*g3^2*y) + (g2*t^8.01)/(g1^6*g3^2*y) + t^8.51/(g1^4*g2*y) + (g2*t^8.51)/(g1^4*y) + t^8.51/(g2*g3^4*y) + (g2*t^8.51)/(g3^4*y) + t^8.51/(g1^2*g3^2*y) - (t^4.25*y)/(g1*g3) - (t^6.76*y)/(g1*g2*g3^5) - (g2*t^6.76*y)/(g1*g3^5) - (t^6.76*y)/(g1^3*g3^3) - (t^6.76*y)/(g1^5*g2*g3) - (g2*t^6.76*y)/(g1^5*g3) + (g1^3*t^7.75*y)/(g2*g3) + (g1^3*g2*t^7.75*y)/g3 + g1*g3*t^7.75*y + (g3^3*t^7.75*y)/(g1*g2) + (g2*g3^3*t^7.75*y)/g1 + (t^8.01*y)/g1^8 + (t^8.01*y)/g3^8 + (t^8.01*y)/(g1^2*g2*g3^6) + (g2*t^8.01*y)/(g1^2*g3^6) + (2*t^8.01*y)/(g1^4*g3^4) + (t^8.01*y)/(g1^4*g2^2*g3^4) + (g2^2*t^8.01*y)/(g1^4*g3^4) + (t^8.01*y)/(g1^6*g2*g3^2) + (g2*t^8.01*y)/(g1^6*g3^2) + (t^8.51*y)/(g1^4*g2) + (g2*t^8.51*y)/g1^4 + (t^8.51*y)/(g2*g3^4) + (g2*t^8.51*y)/g3^4 + (t^8.51*y)/(g1^2*g3^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 593 | $M_1q_1q_2$ + $ 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_1M_3$ | 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 | |
| 594 | $M_1q_1q_2$ + $ 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\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 588 | $M_1q_1q_2$ + $ 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 | |
| 590 | $M_1q_1q_2$ + $ 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_2M_3$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 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 | |
| 595 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.8347, 0.8347, 0.8347, 0.8347, 1.0, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 230 | 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$ | 0.791 | 0.9858 | 0.8024 | [X:[], M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.604, 0.6314], qb:[0.6314, 0.604], phi:[0.3823]] | t^2.21 + 5*t^2.29 + t^3.62 + t^4.42 + 5*t^4.51 + 15*t^4.59 + 3*t^4.77 + 4*t^4.85 + 3*t^4.94 + t^5.84 + t^5.92 - 8*t^6. - t^4.15/y - t^4.15*y | detail |