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 |
|---|---|---|---|---|---|---|---|---|---|
| 4929 | 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1^2$ | 0.605 | 0.7771 | 0.7786 | [X:[], M:[1.0, 0.9986, 1.0027, 1.2497, 0.753, 0.7503, 0.9973, 0.9986], q:[0.2503, 0.7497], qb:[0.5, 0.4973], phi:[0.5007]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [8], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_2$, $ M_6$, $ M_5$, $ M_7$, $ M_1$, $ M_2$, $ M_8$, $ M_2$, $ M_8$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5M_6$, $ M_5^2$, $ M_7q_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_6M_8$, $ M_2M_5$, $ M_5M_8$, $ M_7^2$, $ M_2^2$, $ M_1M_7$, $ M_2M_8$, $ M_8^2$, $ M_4q_1\tilde{q}_2$, $ M_2M_7$, $ M_7M_8$, $ \phi_1q_1^2\tilde{q}_2^2$ | $M_1M_2$, $ M_1M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$, $ M_6\phi_1q_1\tilde{q}_2$ | 2 | t^2.24 + t^2.25 + t^2.26 + t^2.99 + 3*t^3. + t^3.74 + 2*t^3.75 + 4*t^4.49 + 3*t^4.5 + t^4.51 + t^4.52 + t^5.23 + 4*t^5.24 + 3*t^5.25 + 2*t^5.26 + t^5.98 + 6*t^5.99 + 2*t^6. + t^6.01 + 2*t^6.73 + 10*t^6.74 + 2*t^6.75 + t^6.76 + t^6.77 + t^6.78 + 5*t^7.48 + 8*t^7.49 + 4*t^7.5 + 3*t^7.51 + 9*t^8.23 + 4*t^8.24 + t^8.25 - t^8.26 + t^8.27 + 3*t^8.97 + 10*t^8.98 + 8*t^8.99 - t^4.5/y - t^6.76/y + t^7.49/y + (2*t^7.51)/y + t^8.23/y + (5*t^8.24)/y + (4*t^8.25)/y + (3*t^8.26)/y + (6*t^8.99)/y - t^4.5*y - t^6.76*y + t^7.49*y + 2*t^7.51*y + t^8.23*y + 5*t^8.24*y + 4*t^8.25*y + 3*t^8.26*y + 6*t^8.99*y | g1^7*t^2.24 + t^2.25/g1 + t^2.26/g1^9 + g1^8*t^2.99 + t^3. + 2*g1^4*t^3. + g1^5*t^3.74 + t^3.75/g1^3 + g1*t^3.75 + 2*g1^6*t^4.49 + 2*g1^14*t^4.49 + (3*t^4.5)/g1^2 + t^4.51/g1^10 + t^4.52/g1^18 + g1^15*t^5.23 + 2*g1^7*t^5.24 + 2*g1^11*t^5.24 + t^5.25/g1 + 2*g1^3*t^5.25 + (2*t^5.26)/g1^5 + g1^16*t^5.98 + 3*g1^8*t^5.99 + 3*g1^12*t^5.99 - 2*t^6. + t^6./g1^4 + 3*g1^4*t^6. + t^6.01/g1^12 + 2*g1^21*t^6.73 + 6*g1^5*t^6.74 + g1^9*t^6.74 + 3*g1^13*t^6.74 + (2*t^6.75)/g1^3 + (2*t^6.76)/g1^11 - t^6.76/g1^7 + t^6.77/g1^19 + t^6.78/g1^27 + 3*g1^18*t^7.48 + 2*g1^22*t^7.48 + 2*g1^6*t^7.49 + 3*g1^10*t^7.49 + 3*g1^14*t^7.49 + 4*g1^2*t^7.5 + (2*t^7.51)/g1^14 - t^7.51/g1^10 + (2*t^7.51)/g1^6 + 4*g1^15*t^8.23 + 4*g1^19*t^8.23 + g1^23*t^8.23 - g1^7*t^8.24 + 5*g1^11*t^8.24 - (2*t^8.25)/g1 + 3*g1^3*t^8.25 + t^8.26/g1^13 - (4*t^8.26)/g1^9 + (2*t^8.26)/g1^5 + t^8.27/g1^21 + 3*g1^28*t^8.97 + 3*g1^16*t^8.98 + 6*g1^20*t^8.98 + g1^24*t^8.98 - g1^8*t^8.99 + 9*g1^12*t^8.99 - t^4.5/(g1^2*y) - t^6.76/(g1^11*y) + (g1^6*t^7.49)/y + t^7.5/(g1^2*y) - (g1^2*t^7.5)/y + t^7.51/(g1^10*y) + t^7.51/(g1^6*y) + (g1^15*t^8.23)/y + (3*g1^7*t^8.24)/y + (2*g1^11*t^8.24)/y + (2*t^8.25)/(g1*y) + (2*g1^3*t^8.25)/y + t^8.26/(g1^9*y) + (2*t^8.26)/(g1^5*y) + (3*g1^8*t^8.99)/y + (3*g1^12*t^8.99)/y - (t^4.5*y)/g1^2 - (t^6.76*y)/g1^11 + g1^6*t^7.49*y + (t^7.5*y)/g1^2 - g1^2*t^7.5*y + (t^7.51*y)/g1^10 + (t^7.51*y)/g1^6 + g1^15*t^8.23*y + 3*g1^7*t^8.24*y + 2*g1^11*t^8.24*y + (2*t^8.25*y)/g1 + 2*g1^3*t^8.25*y + (t^8.26*y)/g1^9 + (2*t^8.26*y)/g1^5 + 3*g1^8*t^8.99*y + 3*g1^12*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 6540 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1^2$ + $ M_4M_9$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[1.0, 0.9997, 1.0006, 1.2499, 0.7507, 0.7501, 0.9994, 0.9997, 0.7501], q:[0.2501, 0.7499], qb:[0.5, 0.4994], phi:[0.5002]] | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + 9*t^6. - t^4.5/y - t^4.5*y | detail | |
| 6541 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6241 | 0.8124 | 0.7682 | [X:[], M:[1.0, 0.9956, 1.0088, 1.2489, 0.7599, 0.7511, 0.9912, 0.9956, 0.7467], q:[0.2511, 0.7489], qb:[0.5, 0.4912], phi:[0.5022]] | t^2.23 + t^2.24 + t^2.25 + t^2.28 + t^2.97 + 2*t^2.99 + t^3. + t^3.73 + t^3.75 + 2*t^4.45 + t^4.47 + 3*t^4.48 + t^4.49 + 3*t^4.51 + t^4.52 + t^4.53 + t^4.56 + t^5.2 + 3*t^5.21 + 4*t^5.23 + 3*t^5.24 + t^5.25 + 2*t^5.27 + t^5.95 + 3*t^5.96 + 4*t^5.97 + 3*t^5.99 - 2*t^6. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail |