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 |
|---|---|---|---|---|---|---|---|---|---|
| 46575 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[0.7507, 0.7507, 1.0, 0.9995, 0.9995], q:[0.7499, 0.4995], qb:[0.4995, 0.2501], phi:[0.5003]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [0, -4], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ q_2^2\tilde{q}_1^2$ | $M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2\phi_1q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 8 | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. + 22*t^6.75 + 4*t^6.76 + 6*t^7.49 + 25*t^7.5 + 6*t^8.24 + 8*t^8.25 + 6*t^8.99 - t^4.5/y - (2*t^6.75)/y + (6*t^7.5)/y + (18*t^8.25)/y - t^4.5*y - 2*t^6.75*y + 6*t^7.5*y + 18*t^8.25*y | t^2.25/(g1*g2^7) + (g2*t^2.25)/g1 + g1*g2*t^2.25 + g1*g2^9*t^2.25 + t^3. + t^3./g2^8 + (2*t^3.)/g2^4 + t^3.75/(g1*g2^5) + g1*g2^3*t^3.75 + (2*t^4.5)/(g1^2*g2^14) + (2*t^4.5)/g2^6 + t^4.5/(g1^2*g2^6) + 2*g2^2*t^4.5 + (g2^2*t^4.5)/g1^2 + 2*g1^2*g2^2*t^4.5 + g2^10*t^4.5 + g1^2*g2^10*t^4.5 + g1^2*g2^18*t^4.5 + t^5.25/(g1*g2^15) + (2*t^5.25)/(g1*g2^11) + (2*t^5.25)/(g1*g2^7) + (g1*t^5.25)/g2^7 + (2*t^5.25)/(g1*g2^3) + (2*g1*t^5.25)/g2^3 + 2*g1*g2*t^5.25 + 2*g1*g2^5*t^5.25 + t^5.99/g2^16 - 3*t^6. + (2*t^6.)/g2^12 + t^6./(g1^2*g2^12) + (3*t^6.)/g2^8 - t^6./(g1^2*g2^8) + (3*t^6.)/g2^4 + t^6./(g1^2*g2^4) + g2^4*t^6. + g1^2*g2^4*t^6. - g1^2*g2^8*t^6. + g1^2*g2^12*t^6. + (2*t^6.75)/(g1^3*g2^21) + (2*t^6.75)/(g1^3*g2^13) + (3*t^6.75)/(g1*g2^13) + t^6.75/(g1^3*g2^5) + (3*t^6.75)/(g1*g2^5) + (3*g1*t^6.75)/g2^5 - t^6.75/(g1*g2) + (g2^3*t^6.75)/g1 + 3*g1*g2^3*t^6.75 + 2*g1^3*g2^3*t^6.75 - g1*g2^7*t^6.75 + g1*g2^11*t^6.75 + 2*g1^3*g2^11*t^6.75 + g1^3*g2^19*t^6.75 + (g2^3*t^6.76)/g1^3 + (g2^11*t^6.76)/g1 + g1*g2^19*t^6.76 + g1^3*g2^27*t^6.76 + (2*t^7.49)/(g1^2*g2^22) + (2*t^7.49)/g2^14 + (2*g1^2*t^7.49)/g2^6 + (3*t^7.5)/(g1^2*g2^18) + (2*t^7.5)/(g1^2*g2^14) + (3*t^7.5)/g2^10 + (2*t^7.5)/(g1^2*g2^10) + (2*t^7.5)/g2^6 + (2*t^7.5)/g2^2 + (2*t^7.5)/(g1^2*g2^2) + (3*g1^2*t^7.5)/g2^2 - g2^2*t^7.5 + 2*g1^2*g2^2*t^7.5 + 2*g2^6*t^7.5 + 2*g1^2*g2^6*t^7.5 - g2^10*t^7.5 + 2*g1^2*g2^14*t^7.5 + t^8.24/(g1*g2^23) + (2*t^8.24)/(g1*g2^19) + (g1*t^8.24)/g2^15 + (2*g1*t^8.24)/g2^11 + (2*t^8.25)/(g1^3*g2^19) - t^8.25/(g1^3*g2^15) + (3*t^8.25)/(g1*g2^15) + t^8.25/(g1^3*g2^11) + (5*t^8.25)/(g1*g2^11) - t^8.25/(g1^3*g2^7) - (3*t^8.25)/(g1*g2^7) + (3*g1*t^8.25)/g2^7 + t^8.25/(g1^3*g2^3) + t^8.25/(g1*g2^3) + (5*g1*t^8.25)/g2^3 - (5*g2*t^8.25)/g1 - 3*g1*g2*t^8.25 + (g2^5*t^8.25)/g1 + g1*g2^5*t^8.25 + 2*g1^3*g2^5*t^8.25 - 5*g1*g2^9*t^8.25 - g1^3*g2^9*t^8.25 + g1*g2^13*t^8.25 + g1^3*g2^13*t^8.25 - g1^3*g2^17*t^8.25 + g1^3*g2^21*t^8.25 + t^8.99/g2^24 + (2*t^8.99)/g2^20 + (3*t^8.99)/g2^16 - (g2^2*t^4.5)/y - (g2^3*t^6.75)/(g1*y) - (g1*g2^11*t^6.75)/y + t^7.5/(g2^6*y) + t^7.5/(g1^2*g2^6*y) - t^7.5/(g2^2*y) + (2*g2^2*t^7.5)/y + (g2^6*t^7.5)/y + (g2^10*t^7.5)/y + (g1^2*g2^10*t^7.5)/y + t^8.25/(g1*g2^15*y) + (2*t^8.25)/(g1*g2^11*y) + (3*t^8.25)/(g1*g2^7*y) + (g1*t^8.25)/(g2^7*y) + (2*t^8.25)/(g1*g2^3*y) + (2*g1*t^8.25)/(g2^3*y) + (g2*t^8.25)/(g1*y) + (3*g1*g2*t^8.25)/y + (2*g1*g2^5*t^8.25)/y + (g1*g2^9*t^8.25)/y - g2^2*t^4.5*y - (g2^3*t^6.75*y)/g1 - g1*g2^11*t^6.75*y + (t^7.5*y)/g2^6 + (t^7.5*y)/(g1^2*g2^6) - (t^7.5*y)/g2^2 + 2*g2^2*t^7.5*y + g2^6*t^7.5*y + g2^10*t^7.5*y + g1^2*g2^10*t^7.5*y + (t^8.25*y)/(g1*g2^15) + (2*t^8.25*y)/(g1*g2^11) + (3*t^8.25*y)/(g1*g2^7) + (g1*t^8.25*y)/g2^7 + (2*t^8.25*y)/(g1*g2^3) + (2*g1*t^8.25*y)/g2^3 + (g2*t^8.25*y)/g1 + 3*g1*g2*t^8.25*y + 2*g1*g2^5*t^8.25*y + g1*g2^9*t^8.25*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46926 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6433 | 0.8468 | 0.7596 | [X:[], M:[0.7397, 0.7573, 1.0, 1.0012, 1.0012, 0.7409], q:[0.7503, 0.51], qb:[0.4924, 0.2497], phi:[0.4994]] | 2*t^2.22 + t^2.23 + t^2.27 + t^2.28 + 3*t^3. + t^3.01 + t^3.72 + 2*t^4.44 + 5*t^4.45 + 2*t^4.49 + 3*t^4.5 + 2*t^4.51 + t^4.54 + t^4.55 + 2*t^4.56 + 3*t^5.22 + 8*t^5.23 + 6*t^5.28 + t^5.29 + t^5.94 + t^5.95 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46254 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6248 | 0.8112 | 0.7701 | [X:[], M:[0.7295, 0.7295, 1.0, 1.0164], q:[0.7541, 0.5164], qb:[0.5164, 0.2459], phi:[0.4918]] | 2*t^2.19 + 2*t^2.29 + t^2.95 + t^3. + t^3.05 + t^3.1 + 2*t^3.76 + 3*t^4.38 + 4*t^4.48 + 6*t^4.57 + 2*t^5.14 + 4*t^5.24 + 4*t^5.29 + 2*t^5.34 + 2*t^5.39 + t^5.9 + 4*t^5.95 - 4*t^6. - t^4.48/y - t^4.48*y | detail |