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 |
|---|---|---|---|---|---|---|---|---|---|
| 823 | 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_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5^2$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[0.9624, 1.0751, 0.8498, 0.9249, 1.0], q:[0.4437, 0.5939], qb:[0.4812, 0.5563], phi:[0.4812]] | [X:[], M:[[-2], [4], [-8], [-4], [0]], q:[[-3], [5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3M_4$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_4^2$, $ M_3M_5$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$ | 0 | t^2.55 + t^2.77 + 2*t^2.89 + t^3. + t^3.11 + t^3.23 + t^4.11 + t^4.22 + t^4.33 + t^4.44 + 2*t^4.56 + t^4.67 + t^4.78 + t^4.89 + t^5.01 + t^5.1 + t^5.32 + 2*t^5.44 + t^5.55 + t^5.66 + 4*t^5.77 + t^5.89 + t^6.11 - t^6.34 + t^6.66 + t^6.77 + 2*t^6.88 + 3*t^6.99 + 4*t^7.11 + 3*t^7.22 + 3*t^7.33 + 4*t^7.44 + 3*t^7.56 + t^7.65 + t^7.67 + 2*t^7.78 + t^7.87 + 2*t^7.89 + 2*t^7.99 + t^8.1 + 2*t^8.21 + t^8.23 + 5*t^8.32 + t^8.44 + t^8.55 + 6*t^8.66 - t^8.77 - 2*t^8.89 - t^4.44/y - t^6.99/y - (2*t^7.33)/y + (2*t^7.56)/y + t^7.89/y + t^8.32/y + (2*t^8.44)/y + t^8.55/y + (3*t^8.66)/y + (3*t^8.77)/y + (3*t^8.89)/y - t^4.44*y - t^6.99*y - 2*t^7.33*y + 2*t^7.56*y + t^7.89*y + t^8.32*y + 2*t^8.44*y + t^8.55*y + 3*t^8.66*y + 3*t^8.77*y + 3*t^8.89*y | t^2.55/g1^8 + t^2.77/g1^4 + (2*t^2.89)/g1^2 + t^3. + g1^2*t^3.11 + g1^4*t^3.23 + t^4.11/g1^7 + t^4.22/g1^5 + t^4.33/g1^3 + t^4.44/g1 + 2*g1*t^4.56 + g1^3*t^4.67 + g1^5*t^4.78 + g1^7*t^4.89 + g1^9*t^5.01 + t^5.1/g1^16 + t^5.32/g1^12 + (2*t^5.44)/g1^10 + t^5.55/g1^8 + t^5.66/g1^6 + (4*t^5.77)/g1^4 + t^5.89/g1^2 + g1^2*t^6.11 - g1^6*t^6.34 + t^6.66/g1^15 + t^6.77/g1^13 + (2*t^6.88)/g1^11 + (3*t^6.99)/g1^9 + (4*t^7.11)/g1^7 + (3*t^7.22)/g1^5 + (3*t^7.33)/g1^3 + (4*t^7.44)/g1 + 3*g1*t^7.56 + t^7.65/g1^24 + g1^3*t^7.67 + 2*g1^5*t^7.78 + t^7.87/g1^20 + 2*g1^7*t^7.89 + (2*t^7.99)/g1^18 + t^8.1/g1^16 + (2*t^8.21)/g1^14 + g1^13*t^8.23 + (5*t^8.32)/g1^12 + t^8.44/g1^10 + t^8.55/g1^8 + (6*t^8.66)/g1^6 - t^8.77/g1^4 - (2*t^8.89)/g1^2 - t^4.44/(g1*y) - t^6.99/(g1^9*y) - (2*t^7.33)/(g1^3*y) + (2*g1*t^7.56)/y + (g1^7*t^7.89)/y + t^8.32/(g1^12*y) + (2*t^8.44)/(g1^10*y) + t^8.55/(g1^8*y) + (3*t^8.66)/(g1^6*y) + (3*t^8.77)/(g1^4*y) + (3*t^8.89)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.99*y)/g1^9 - (2*t^7.33*y)/g1^3 + 2*g1*t^7.56*y + g1^7*t^7.89*y + (t^8.32*y)/g1^12 + (2*t^8.44*y)/g1^10 + (t^8.55*y)/g1^8 + (3*t^8.66*y)/g1^6 + (3*t^8.77*y)/g1^4 + (3*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 1300 | $M_1q_1q_2$ + $ \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_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5^2$ + $ M_2M_6$ | 0.7136 | 0.8827 | 0.8085 | [X:[], M:[0.9544, 1.0912, 0.8177, 0.9088, 1.0, 0.9088], q:[0.4316, 0.614], qb:[0.4772, 0.5684], phi:[0.4772]] | t^2.45 + 2*t^2.73 + 2*t^2.86 + t^3. + t^3.14 + t^4.02 + t^4.16 + t^4.29 + t^4.43 + 2*t^4.57 + t^4.71 + t^4.84 + t^4.91 + t^4.98 + t^5.12 + 2*t^5.18 + 2*t^5.32 + 3*t^5.45 + 3*t^5.59 + 4*t^5.73 + 2*t^5.86 - t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 528 | 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_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]] | 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^3.99 + 2*t^4.33 + 3*t^4.63 + 4*t^4.67 + 4*t^4.98 + 2*t^5.01 + 6*t^5.32 + t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail |