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 |
|---|---|---|---|---|---|---|---|---|---|
| 328 | 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_4^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | [X:[], M:[[-2, -2], [-6, -2], [2, -2], [0, 0]], q:[[4, 2], [-2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | -3 | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. + t^6.44 + 8*t^6.84 + t^6.88 + 12*t^7.28 + t^7.31 + 20*t^7.69 + 8*t^7.72 + t^7.75 - 3*t^8.12 - t^8.16 - 13*t^8.56 - t^4.28/y - (4*t^6.84)/y + (4*t^7.72)/y + (6*t^8.12)/y + (4*t^8.56)/y - t^4.28*y - 4*t^6.84*y + 4*t^7.72*y + 6*t^8.12*y + 4*t^8.56*y | t^2.56/(g1^6*g2^2) + (2*t^2.56)/(g1^2*g2^2) + (g1^2*t^2.56)/g2^2 + t^3. + g1^2*g2^2*t^3.44 + g1^4*g2^4*t^3.88 + t^4.28/(g1^5*g2) + t^4.28/(g1*g2) + (g1^3*t^4.28)/g2 + (g2*t^4.72)/g1^3 + 2*g1*g2*t^4.72 + g1^5*g2*t^4.72 + (2*t^5.12)/g2^4 + t^5.12/(g1^12*g2^4) + (2*t^5.12)/(g1^8*g2^4) + (4*t^5.12)/(g1^4*g2^4) + (g1^4*t^5.12)/g2^4 + (g2^3*t^5.16)/g1 + g1^3*g2^3*t^5.16 + g1^7*g2^3*t^5.16 - t^6. - t^6./g1^4 - g1^4*t^6. + g1^2*g2^2*t^6.44 + t^6.84/(g1^11*g2^3) + (2*t^6.84)/(g1^7*g2^3) + (2*t^6.84)/(g1^3*g2^3) + (2*g1*t^6.84)/g2^3 + (g1^5*t^6.84)/g2^3 + g1^4*g2^4*t^6.88 + t^7.28/(g1^9*g2) + (3*t^7.28)/(g1^5*g2) + (4*t^7.28)/(g1*g2) + (3*g1^3*t^7.28)/g2 + (g1^7*t^7.28)/g2 + g1^6*g2^6*t^7.31 + t^7.69/(g1^18*g2^6) + (2*t^7.69)/(g1^14*g2^6) + (4*t^7.69)/(g1^10*g2^6) + (6*t^7.69)/(g1^6*g2^6) + (4*t^7.69)/(g1^2*g2^6) + (2*g1^2*t^7.69)/g2^6 + (g1^6*t^7.69)/g2^6 + (g2*t^7.72)/g1^7 + (2*g2*t^7.72)/g1^3 + 2*g1*g2*t^7.72 + 2*g1^5*g2*t^7.72 + g1^9*g2*t^7.72 + g1^8*g2^8*t^7.75 - t^8.12/g2^4 - t^8.12/(g1^8*g2^4) - t^8.12/(g1^4*g2^4) - g1^3*g2^3*t^8.16 - (4*t^8.56)/(g1^6*g2^2) - (5*t^8.56)/(g1^2*g2^2) - (4*g1^2*t^8.56)/g2^2 - t^4.28/(g1*g2*y) - t^6.84/(g1^7*g2^3*y) - (2*t^6.84)/(g1^3*g2^3*y) - (g1*t^6.84)/(g2^3*y) + (g2*t^7.72)/(g1^3*y) + (2*g1*g2*t^7.72)/y + (g1^5*g2*t^7.72)/y + (2*t^8.12)/(g2^4*y) + (2*t^8.12)/(g1^8*g2^4*y) + (2*t^8.12)/(g1^4*g2^4*y) + t^8.56/(g1^6*g2^2*y) + (2*t^8.56)/(g1^2*g2^2*y) + (g1^2*t^8.56)/(g2^2*y) - (t^4.28*y)/(g1*g2) - (t^6.84*y)/(g1^7*g2^3) - (2*t^6.84*y)/(g1^3*g2^3) - (g1*t^6.84*y)/g2^3 + (g2*t^7.72*y)/g1^3 + 2*g1*g2*t^7.72*y + g1^5*g2*t^7.72*y + (2*t^8.12*y)/g2^4 + (2*t^8.12*y)/(g1^8*g2^4) + (2*t^8.12*y)/(g1^4*g2^4) + (t^8.56*y)/(g1^6*g2^2) + (2*t^8.56*y)/(g1^2*g2^2) + (g1^2*t^8.56*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 510 | $M_1q_1q_2$ + $ \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_4^2$ + $ M_1M_2$ | 0.7063 | 0.8641 | 0.8173 | [X:[], M:[0.9489, 1.0511, 0.8468, 1.0], q:[0.5, 0.5511], qb:[0.4489, 0.6021], phi:[0.4745]] | t^2.54 + 2*t^2.85 + t^3. + 2*t^3.15 + t^3.31 + t^4.12 + t^4.27 + 2*t^4.42 + 2*t^4.58 + 2*t^4.73 + t^4.88 + t^5.04 + t^5.08 + 2*t^5.39 + 3*t^5.69 + t^6. - t^4.42/y - t^4.42*y | detail | |
| 512 | $M_1q_1q_2$ + $ \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_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 207 | 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$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |