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 |
|---|---|---|---|---|---|---|---|---|---|
| 4313 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7389 | 0.9325 | 0.7923 | [X:[], M:[0.9508, 0.9017, 1.0, 1.0983, 0.9508, 0.8033, 0.9017, 0.6721], q:[0.6229, 0.4262], qb:[0.4754, 0.5738], phi:[0.4754]] | [X:[], M:[[-2], [-4], [0], [4], [-2], [-8], [-4], [7]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_2$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_1M_8$, $ M_5M_8$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_6M_7$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2^2$, $ M_3M_6$, $ M_2M_7$, $ M_7^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -3 | t^2.02 + t^2.41 + 2*t^2.7 + 3*t^2.85 + t^3. + t^4.03 + t^4.13 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + t^4.82 + 4*t^4.87 + 2*t^5.02 + 2*t^5.11 + t^5.16 + 3*t^5.26 + 3*t^5.41 + 4*t^5.56 + 7*t^5.7 + t^5.85 - 3*t^6. + t^6.05 - t^6.15 - t^6.3 + t^6.54 + t^6.59 + t^6.69 + 3*t^6.74 + 3*t^6.84 + 4*t^6.89 + 5*t^6.98 + 2*t^7.03 + 6*t^7.13 + t^7.18 + t^7.23 + 7*t^7.28 + 8*t^7.43 + 2*t^7.52 + 7*t^7.57 + 3*t^7.67 + 7*t^7.72 + 3*t^7.82 + 2*t^7.87 + 4*t^7.97 - 2*t^8.02 + t^8.07 + 9*t^8.11 - 3*t^8.16 + 4*t^8.26 - 3*t^8.31 + 5*t^8.41 + 9*t^8.56 + t^8.61 - 5*t^8.7 + 3*t^8.75 - 9*t^8.85 + 4*t^8.9 + t^8.95 - t^4.43/y - t^6.44/y - t^6.84/y - t^7.13/y - (3*t^7.28)/y + t^7.43/y + (3*t^7.57)/y + (3*t^7.72)/y + (3*t^7.87)/y + (2*t^8.02)/y + (2*t^8.11)/y + (3*t^8.26)/y + (3*t^8.41)/y - t^8.46/y + (6*t^8.56)/y + (5*t^8.7)/y + (2*t^8.85)/y - t^4.43*y - t^6.44*y - t^6.84*y - t^7.13*y - 3*t^7.28*y + t^7.43*y + 3*t^7.57*y + 3*t^7.72*y + 3*t^7.87*y + 2*t^8.02*y + 2*t^8.11*y + 3*t^8.26*y + 3*t^8.41*y - t^8.46*y + 6*t^8.56*y + 5*t^8.7*y + 2*t^8.85*y | g1^7*t^2.02 + t^2.41/g1^8 + (2*t^2.7)/g1^4 + (3*t^2.85)/g1^2 + t^3. + g1^14*t^4.03 + t^4.13/g1^5 + t^4.28/g1^3 + (2*t^4.43)/g1 + 2*g1*t^4.57 + 3*g1^3*t^4.72 + t^4.82/g1^16 + 4*g1^5*t^4.87 + 2*g1^7*t^5.02 + (2*t^5.11)/g1^12 + g1^9*t^5.16 + (3*t^5.26)/g1^10 + (3*t^5.41)/g1^8 + (4*t^5.56)/g1^6 + (7*t^5.7)/g1^4 + t^5.85/g1^2 - 3*t^6. + g1^21*t^6.05 - g1^2*t^6.15 - g1^4*t^6.3 + t^6.54/g1^13 + g1^8*t^6.59 + t^6.69/g1^11 + 3*g1^10*t^6.74 + (3*t^6.84)/g1^9 + 4*g1^12*t^6.89 + (5*t^6.98)/g1^7 + 2*g1^14*t^7.03 + (6*t^7.13)/g1^5 + g1^16*t^7.18 + t^7.23/g1^24 + (7*t^7.28)/g1^3 + (8*t^7.43)/g1 + (2*t^7.52)/g1^20 + 7*g1*t^7.57 + (3*t^7.67)/g1^18 + 7*g1^3*t^7.72 + (3*t^7.82)/g1^16 + 2*g1^5*t^7.87 + (4*t^7.97)/g1^14 - 2*g1^7*t^8.02 + g1^28*t^8.07 + (9*t^8.11)/g1^12 - 3*g1^9*t^8.16 + (4*t^8.26)/g1^10 - 3*g1^11*t^8.31 + (5*t^8.41)/g1^8 + (9*t^8.56)/g1^6 + g1^15*t^8.61 - (5*t^8.7)/g1^4 + 3*g1^17*t^8.75 - (9*t^8.85)/g1^2 + 4*g1^19*t^8.9 + t^8.95/g1^21 - t^4.43/(g1*y) - (g1^6*t^6.44)/y - t^6.84/(g1^9*y) - t^7.13/(g1^5*y) - (3*t^7.28)/(g1^3*y) + t^7.43/(g1*y) + (3*g1*t^7.57)/y + (3*g1^3*t^7.72)/y + (3*g1^5*t^7.87)/y + (2*g1^7*t^8.02)/y + (2*t^8.11)/(g1^12*y) + (3*t^8.26)/(g1^10*y) + (3*t^8.41)/(g1^8*y) - (g1^13*t^8.46)/y + (6*t^8.56)/(g1^6*y) + (5*t^8.7)/(g1^4*y) + (2*t^8.85)/(g1^2*y) - (t^4.43*y)/g1 - g1^6*t^6.44*y - (t^6.84*y)/g1^9 - (t^7.13*y)/g1^5 - (3*t^7.28*y)/g1^3 + (t^7.43*y)/g1 + 3*g1*t^7.57*y + 3*g1^3*t^7.72*y + 3*g1^5*t^7.87*y + 2*g1^7*t^8.02*y + (2*t^8.11*y)/g1^12 + (3*t^8.26*y)/g1^10 + (3*t^8.41*y)/g1^8 - g1^13*t^8.46*y + (6*t^8.56*y)/g1^6 + (5*t^8.7*y)/g1^4 + (2*t^8.85*y)/g1^2 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2320 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.718 | 0.8913 | 0.8056 | [X:[], M:[0.9504, 0.9007, 1.0, 1.0993, 0.9504, 0.8015, 0.9007], q:[0.6241, 0.4255], qb:[0.4752, 0.5745], phi:[0.4752]] | t^2.4 + 2*t^2.7 + 3*t^2.85 + t^3. + t^3.98 + t^4.13 + t^4.28 + t^4.43 + 2*t^4.57 + t^4.72 + t^4.81 + t^4.87 + t^5.02 + 2*t^5.11 + t^5.17 + 3*t^5.26 + 3*t^5.4 + 4*t^5.55 + 7*t^5.7 + t^5.85 - 3*t^6. - t^4.43/y - t^4.43*y | detail |