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 |
|---|---|---|---|---|---|---|---|---|---|
| 2017 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_5M_8$ + $ \phi_1\tilde{q}_1^2$ | 0.7202 | 0.897 | 0.803 | [X:[], M:[0.9657, 1.1723, 0.6898, 0.6898, 0.9657, 0.6898, 1.0343, 1.0343], q:[0.5172, 0.5172], qb:[0.7931, 0.5172], phi:[0.4139]] | [X:[], M:[[0, -7, 1], [0, 4, 0], [0, -1, -1], [1, -8, 1], [-1, 0, -1], [-1, -1, 0], [0, 7, -1], [1, 0, 1]], q:[[-1, 7, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, -2, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ q_1\tilde{q}_2$, $ M_7$, $ M_8$, $ M_2$, $ M_3M_4$, $ M_6^2$, $ M_3^2$, $ M_3M_6$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_3M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_3M_7$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_8$, $ M_4q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_8$, $ M_2M_6$, $ M_2M_3$, $ M_2M_4$ | . | -9 | 3*t^2.07 + 3*t^3.1 + t^3.52 + 6*t^4.14 + 6*t^4.34 + 9*t^5.17 + 3*t^5.59 - 9*t^6. + 16*t^6.21 + 15*t^6.41 + 3*t^6.62 - 3*t^6.83 + 10*t^7.24 + 15*t^7.45 + 6*t^7.66 - 27*t^8.07 + 25*t^8.28 + 27*t^8.48 + 21*t^8.69 - 3*t^8.9 - t^4.24/y - (3*t^6.31)/y + (3*t^7.14)/y + (12*t^8.17)/y - (6*t^8.38)/y + (3*t^8.59)/y - t^4.24*y - 3*t^6.31*y + 3*t^7.14*y + 12*t^8.17*y - 6*t^8.38*y + 3*t^8.59*y | t^2.07/(g1*g2) + t^2.07/(g2*g3) + (g1*g3*t^2.07)/g2^8 + (g2^7*t^3.1)/g1 + (g2^7*t^3.1)/g3 + g1*g3*t^3.1 + g2^4*t^3.52 + (g1*t^4.14)/g2^9 + t^4.14/(g1^2*g2^2) + t^4.14/(g2^2*g3^2) + t^4.14/(g1*g2^2*g3) + (g3*t^4.14)/g2^9 + (g1^2*g3^2*t^4.14)/g2^16 + (g1^2*t^4.34)/g2^2 + (g2^5*t^4.34)/g1 + (g2^12*t^4.34)/(g1^2*g3^2) + (g2^5*t^4.34)/g3 + (g1*g3*t^4.34)/g2^2 + (g3^2*t^4.34)/g2^2 + (2*g1*t^5.17)/g2 + (g2^6*t^5.17)/g1^2 + (g2^6*t^5.17)/g3^2 + (2*g2^6*t^5.17)/(g1*g3) + (2*g3*t^5.17)/g2 + (g1^2*g3^2*t^5.17)/g2^8 + (g2^3*t^5.59)/g1 + (g2^3*t^5.59)/g3 + (g1*g3*t^5.59)/g2^4 - 3*t^6. - (g2^7*t^6.)/(g1*g3^2) - (g1*t^6.)/g3 - (g2^7*t^6.)/(g1^2*g3) - (g3*t^6.)/g1 - (g1^2*g3*t^6.)/g2^7 - (g1*g3^2*t^6.)/g2^7 + t^6.21/g2^10 + t^6.21/(g1^3*g2^3) + g1*g2^7*t^6.21 + (g2^14*t^6.21)/g1^2 + t^6.21/(g2^3*g3^3) + t^6.21/(g1*g2^3*g3^2) + (g2^14*t^6.21)/g3^2 + (g1*t^6.21)/(g2^10*g3) + t^6.21/(g1^2*g2^3*g3) + (g2^14*t^6.21)/(g1*g3) + (g1^2*g3*t^6.21)/g2^17 + (g3*t^6.21)/(g1*g2^10) + g2^7*g3*t^6.21 + g1^2*g3^2*t^6.21 + (g1*g3^2*t^6.21)/g2^17 + (g1^3*g3^3*t^6.21)/g2^24 + (2*g1*t^6.41)/g2^3 + (g2^4*t^6.41)/g1^2 + (g2^11*t^6.41)/(g1^2*g3^3) + (g2^4*t^6.41)/g3^2 + (g2^11*t^6.41)/(g1^3*g3^2) + (g1^2*t^6.41)/(g2^3*g3) + (2*g2^4*t^6.41)/(g1*g3) + (g1^3*g3*t^6.41)/g2^10 + (2*g3*t^6.41)/g2^3 + (g1^2*g3^2*t^6.41)/g2^10 + (g3^2*t^6.41)/(g1*g2^3) + (g1*g3^3*t^6.41)/g2^10 + (g2^11*t^6.62)/g1 + (g2^11*t^6.62)/g3 + g1*g2^4*g3*t^6.62 - (g2*t^6.83)/g1 - (g2*t^6.83)/g3 - (g1*g3*t^6.83)/g2^6 + t^7.24/g2^2 + (g2^5*t^7.24)/g1^3 + (g2^5*t^7.24)/g3^3 + (g2^5*t^7.24)/(g1*g3^2) + (g1*t^7.24)/(g2^2*g3) + (g2^5*t^7.24)/(g1^2*g3) + (g1^2*g3*t^7.24)/g2^9 + (g3*t^7.24)/(g1*g2^2) + (g1*g3^2*t^7.24)/g2^9 + (g1^3*g3^3*t^7.24)/g2^16 + 2*g1*g2^5*t^7.45 + (g2^12*t^7.45)/g1^2 + (g2^19*t^7.45)/(g1^2*g3^3) + (g2^12*t^7.45)/g3^2 + (g2^19*t^7.45)/(g1^3*g3^2) + (g1^2*g2^5*t^7.45)/g3 + (2*g2^12*t^7.45)/(g1*g3) + (g1^3*g3*t^7.45)/g2^2 + 2*g2^5*g3*t^7.45 + (g1^2*g3^2*t^7.45)/g2^2 + (g2^5*g3^2*t^7.45)/g1 + (g1*g3^3*t^7.45)/g2^2 + (g1*t^7.66)/g2^5 + (g2^2*t^7.66)/g1^2 + (g2^2*t^7.66)/g3^2 + (g2^2*t^7.66)/(g1*g3) + (g3*t^7.66)/g2^5 + (g1^2*g3^2*t^7.66)/g2^12 - (2*g1^2*t^8.07)/g2^8 - (5*t^8.07)/(g1*g2) - (g2^6*t^8.07)/(g1*g3^3) - (g1*t^8.07)/(g2*g3^2) - (2*g2^6*t^8.07)/(g1^2*g3^2) - (5*t^8.07)/(g2*g3) - (g2^6*t^8.07)/(g1^3*g3) - (5*g1*g3*t^8.07)/g2^8 - (g3*t^8.07)/(g1^2*g2) - (g1^3*g3^2*t^8.07)/g2^15 - (2*g3^2*t^8.07)/g2^8 - (g1^2*g3^3*t^8.07)/g2^15 + (g1^2*t^8.28)/g2^18 + t^8.28/(g1*g2^11) + t^8.28/(g1^4*g2^4) + g2^6*t^8.28 + (g2^13*t^8.28)/g1^3 + t^8.28/(g2^4*g3^4) + t^8.28/(g1*g2^4*g3^3) + (g2^13*t^8.28)/g3^3 + (g1*t^8.28)/(g2^11*g3^2) + t^8.28/(g1^2*g2^4*g3^2) + (g2^13*t^8.28)/(g1*g3^2) + t^8.28/(g2^11*g3) + t^8.28/(g1^3*g2^4*g3) + (g1*g2^6*t^8.28)/g3 + (g2^13*t^8.28)/(g1^2*g3) + (g1*g3*t^8.28)/g2^18 + (g3*t^8.28)/(g1^2*g2^11) + (g1^2*g3*t^8.28)/g2 + (g2^6*g3*t^8.28)/g1 + (g1^3*g3^2*t^8.28)/g2^25 + (g3^2*t^8.28)/g2^18 + (g1*g3^2*t^8.28)/g2 + (g1^2*g3^3*t^8.28)/g2^25 + (g1^3*g3^3*t^8.28)/g2^8 + (g1^4*g3^4*t^8.28)/g2^32 + (g1^3*t^8.48)/g2^11 + (3*t^8.48)/g2^4 + (g2^3*t^8.48)/g1^3 + (g2^10*t^8.48)/(g1^2*g3^4) + (g2^3*t^8.48)/g3^3 + (g2^10*t^8.48)/(g1^3*g3^3) + (g1^2*t^8.48)/(g2^4*g3^2) + (2*g2^3*t^8.48)/(g1*g3^2) + (g2^10*t^8.48)/(g1^4*g3^2) + (2*g1*t^8.48)/(g2^4*g3) + (2*g2^3*t^8.48)/(g1^2*g3) + (2*g1^2*g3*t^8.48)/g2^11 + (2*g3*t^8.48)/(g1*g2^4) + (g1^4*g3^2*t^8.48)/g2^18 + (2*g1*g3^2*t^8.48)/g2^11 + (g3^2*t^8.48)/(g1^2*g2^4) + (g1^3*g3^3*t^8.48)/g2^18 + (g3^3*t^8.48)/g2^11 + (g1^2*g3^4*t^8.48)/g2^18 + (g1^4*t^8.69)/g2^4 + 2*g1*g2^3*t^8.69 + (2*g2^10*t^8.69)/g1^2 + (g2^24*t^8.69)/(g1^4*g3^4) + (g2^17*t^8.69)/(g1^2*g3^3) + (2*g2^10*t^8.69)/g3^2 + (g2^17*t^8.69)/(g1^3*g3^2) + (g1^2*g2^3*t^8.69)/g3 + (2*g2^10*t^8.69)/(g1*g3) + (g1^3*g3*t^8.69)/g2^4 + 2*g2^3*g3*t^8.69 + (2*g1^2*g3^2*t^8.69)/g2^4 + (g2^3*g3^2*t^8.69)/g1 + (g1*g3^3*t^8.69)/g2^4 + (g3^4*t^8.69)/g2^4 - (g1*t^8.9)/g2^7 - t^8.9/(g1*g3) - (g3*t^8.9)/g2^7 - t^4.24/(g2^2*y) - t^6.31/(g1*g2^3*y) - t^6.31/(g2^3*g3*y) - (g1*g3*t^6.31)/(g2^10*y) + (g1*t^7.14)/(g2^9*y) + t^7.14/(g1*g2^2*g3*y) + (g3*t^7.14)/(g2^9*y) + (3*g1*t^8.17)/(g2*y) + (g2^6*t^8.17)/(g1^2*y) + (g2^6*t^8.17)/(g3^2*y) + (3*g2^6*t^8.17)/(g1*g3*y) + (3*g3*t^8.17)/(g2*y) + (g1^2*g3^2*t^8.17)/(g2^8*y) - (g1*t^8.38)/(g2^11*y) - t^8.38/(g1^2*g2^4*y) - t^8.38/(g2^4*g3^2*y) - t^8.38/(g1*g2^4*g3*y) - (g3*t^8.38)/(g2^11*y) - (g1^2*g3^2*t^8.38)/(g2^18*y) + (g2^3*t^8.59)/(g1*y) + (g2^3*t^8.59)/(g3*y) + (g1*g3*t^8.59)/(g2^4*y) - (t^4.24*y)/g2^2 - (t^6.31*y)/(g1*g2^3) - (t^6.31*y)/(g2^3*g3) - (g1*g3*t^6.31*y)/g2^10 + (g1*t^7.14*y)/g2^9 + (t^7.14*y)/(g1*g2^2*g3) + (g3*t^7.14*y)/g2^9 + (3*g1*t^8.17*y)/g2 + (g2^6*t^8.17*y)/g1^2 + (g2^6*t^8.17*y)/g3^2 + (3*g2^6*t^8.17*y)/(g1*g3) + (3*g3*t^8.17*y)/g2 + (g1^2*g3^2*t^8.17*y)/g2^8 - (g1*t^8.38*y)/g2^11 - (t^8.38*y)/(g1^2*g2^4) - (t^8.38*y)/(g2^4*g3^2) - (t^8.38*y)/(g1*g2^4*g3) - (g3*t^8.38*y)/g2^11 - (g1^2*g3^2*t^8.38*y)/g2^18 + (g2^3*t^8.59*y)/g1 + (g2^3*t^8.59*y)/g3 + (g1*g3*t^8.59*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3071 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_5M_8$ + $ \phi_1\tilde{q}_1^2$ + $ M_3^2$ | 0.6248 | 0.8112 | 0.7701 | [X:[], M:[0.9671, 1.0164, 1.0, 0.7295, 1.2377, 0.7295, 1.0329, 0.7623], q:[0.5164, 0.5164], qb:[0.7541, 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 840 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ + $ M_5M_8$ | 0.742 | 0.9005 | 0.8241 | [X:[], M:[0.865, 1.1759, 0.7832, 0.7832, 0.865, 0.7832, 1.135, 1.135], q:[0.5675, 0.5675], qb:[0.6493, 0.5675], phi:[0.4121]] | 3*t^2.35 + 3*t^3.4 + t^3.53 + 6*t^4.64 + 6*t^4.7 + 3*t^4.89 + t^5.13 + 6*t^5.75 + 3*t^5.88 - 10*t^6. - t^4.24/y - t^4.24*y | detail |