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 |
|---|---|---|---|---|---|---|---|---|---|
| 330 | 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_1M_4$ | 0.7046 | 0.8591 | 0.8202 | [X:[], M:[0.9439, 0.9439, 0.9439, 1.0561], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]] | [X:[], M:[[-2, -2], [-8, -4], [4, 0], [2, 2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_1$, $ \phi_1^2$, $ 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$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_3^2$, $ 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_1M_3$, $ M_3\phi_1^2$ | $M_2M_4$, $ M_3M_4$, $ M_4\phi_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$ | 0 | 4*t^2.83 + 2*t^3.17 + t^3.5 + 3*t^4.25 + 4*t^4.58 + 3*t^4.92 + 6*t^5.66 + 2*t^6.34 + 2*t^6.67 + t^7.01 + 8*t^7.08 + 8*t^7.42 + 8*t^7.75 + 3*t^8.09 + 3*t^8.43 + 12*t^8.5 - 5*t^8.83 - t^4.42/y - (3*t^7.25)/y + (3*t^7.58)/y + (6*t^8.66)/y - t^4.42*y - 3*t^7.25*y + 3*t^7.58*y + 6*t^8.66*y | g1^4*t^2.83 + t^2.83/(g1^8*g2^4) + (2*t^2.83)/(g1^2*g2^2) + 2*g1^2*g2^2*t^3.17 + g1^6*g2^6*t^3.5 + t^4.25/(g1^9*g2^5) + t^4.25/(g1^3*g2^3) + (g1^3*t^4.25)/g2 + t^4.58/(g1^5*g2) + 2*g1*g2*t^4.58 + g1^7*g2^3*t^4.58 + (g2^3*t^4.92)/g1 + g1^5*g2^5*t^4.92 + g1^11*g2^7*t^4.92 + g1^8*t^5.66 + t^5.66/(g1^16*g2^8) + t^5.66/(g1^10*g2^6) + (2*t^5.66)/(g1^4*g2^4) + (g1^2*t^5.66)/g2^2 + 2*g1^4*g2^4*t^6.34 + 2*g1^8*g2^8*t^6.67 + g1^12*g2^12*t^7.01 + t^7.08/(g1^17*g2^9) + (2*t^7.08)/(g1^11*g2^7) + (2*t^7.08)/(g1^5*g2^5) + (2*g1*t^7.08)/g2^3 + (g1^7*t^7.08)/g2 + t^7.42/(g1^13*g2^5) + (2*t^7.42)/(g1^7*g2^3) + (2*t^7.42)/(g1*g2) + 2*g1^5*g2*t^7.42 + g1^11*g2^3*t^7.42 + t^7.75/(g1^9*g2) + (2*g2*t^7.75)/g1^3 + 2*g1^3*g2^3*t^7.75 + 2*g1^9*g2^5*t^7.75 + g1^15*g2^7*t^7.75 + g1*g2^5*t^8.09 + g1^7*g2^7*t^8.09 + g1^13*g2^9*t^8.09 + g1^5*g2^9*t^8.43 + g1^11*g2^11*t^8.43 + g1^17*g2^13*t^8.43 + g1^12*t^8.5 + t^8.5/(g1^24*g2^12) + (2*t^8.5)/(g1^18*g2^10) + (2*t^8.5)/(g1^12*g2^8) + (2*t^8.5)/(g1^6*g2^6) + (2*t^8.5)/g2^4 + (2*g1^6*t^8.5)/g2^2 - 2*g1^4*t^8.83 + t^8.83/(g1^14*g2^6) - (2*t^8.83)/(g1^8*g2^4) - (3*t^8.83)/(g1^2*g2^2) + g1^10*g2^2*t^8.83 - t^4.42/(g1*g2*y) - t^7.25/(g1^9*g2^5*y) - t^7.25/(g1^3*g2^3*y) - (g1^3*t^7.25)/(g2*y) + t^7.58/(g1^5*g2*y) + (g1*g2*t^7.58)/y + (g1^7*g2^3*t^7.58)/y + (2*t^8.66)/(g1^10*g2^6*y) + (2*t^8.66)/(g1^4*g2^4*y) + (2*g1^2*t^8.66)/(g2^2*y) - (t^4.42*y)/(g1*g2) - (t^7.25*y)/(g1^9*g2^5) - (t^7.25*y)/(g1^3*g2^3) - (g1^3*t^7.25*y)/g2 + (t^7.58*y)/(g1^5*g2) + g1*g2*t^7.58*y + g1^7*g2^3*t^7.58*y + (2*t^8.66*y)/(g1^10*g2^6) + (2*t^8.66*y)/(g1^4*g2^4) + (2*g1^2*t^8.66*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 |
|---|---|---|---|---|---|---|---|---|
| 516 | $M_1q_1q_2$ + $ \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_1M_4$ + $ M_2^2$ | 0.7023 | 0.8571 | 0.8194 | [X:[], M:[0.9541, 1.0, 0.9082, 1.0459], q:[0.5459, 0.5], qb:[0.4541, 0.5918], phi:[0.477]] | t^2.72 + 2*t^2.86 + t^3. + 2*t^3.14 + t^3.41 + t^4.16 + t^4.29 + 2*t^4.43 + 2*t^4.57 + 2*t^4.71 + t^4.84 + t^4.98 + t^5.45 + t^5.59 + 2*t^5.72 + t^5.86 + t^6. - t^4.43/y - t^4.43*y | detail | |
| 517 | $M_1q_1q_2$ + $ \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_1M_4$ + $ M_4M_5$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 1.0674, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*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 |