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 |
|---|---|---|---|---|---|---|---|---|---|
| 55445 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ | 0.797 | 0.9555 | 0.8342 | [X:[], M:[], q:[0.7465, 0.7465, 0.7465], qb:[0.7465, 0.4931, 0.4931], phi:[0.5069]] | [X:[], M:[], q:[[-1, 0, 1, 1], [1, 0, 0, 0], [0, -1, 1, 1]], qb:[[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], phi:[[0, 0, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_2\tilde{q}_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_2^2\tilde{q}_3^2$ | $\phi_1^2\tilde{q}_2\tilde{q}_3$ | -9 | t^2.96 + t^3.04 + 8*t^3.72 + 9*t^4.48 + t^5.92 - 9*t^6. + t^6.08 + 8*t^6.68 - 8*t^6.76 + 36*t^7.44 + 48*t^8.2 + t^8.88 + 5*t^8.96 - t^4.52/y + t^7.48/y - t^7.56/y - t^4.52*y + t^7.48*y - t^7.56*y | g3^2*g4^2*t^2.96 + t^3.04/(g3^2*g4^2) + g1*g3^2*t^3.72 + g2*g3^2*t^3.72 + (g3^3*g4*t^3.72)/g1 + (g3^3*g4*t^3.72)/g2 + g1*g4^2*t^3.72 + g2*g4^2*t^3.72 + (g3*g4^3*t^3.72)/g1 + (g3*g4^3*t^3.72)/g2 + g1*g2*t^4.48 + (g3^3*t^4.48)/g4 + 3*g3*g4*t^4.48 + (g1*g3*g4*t^4.48)/g2 + (g2*g3*g4*t^4.48)/g1 + (g3^2*g4^2*t^4.48)/(g1*g2) + (g4^3*t^4.48)/g3 + g3^4*g4^4*t^5.92 - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g3^2*t^6.)/g4^2 - (g1*g2*t^6.)/(g3*g4) - (g3*g4*t^6.)/(g1*g2) - (g4^2*t^6.)/g3^2 + t^6.08/(g3^4*g4^4) + g1*g3^4*g4^2*t^6.68 + g2*g3^4*g4^2*t^6.68 + (g3^5*g4^3*t^6.68)/g1 + (g3^5*g4^3*t^6.68)/g2 + g1*g3^2*g4^4*t^6.68 + g2*g3^2*g4^4*t^6.68 + (g3^3*g4^5*t^6.68)/g1 + (g3^3*g4^5*t^6.68)/g2 - (g1*t^6.76)/g3^2 - (g2*t^6.76)/g3^2 - (g1*t^6.76)/g4^2 - (g2*t^6.76)/g4^2 - (g3*t^6.76)/(g1*g4) - (g3*t^6.76)/(g2*g4) - (g4*t^6.76)/(g1*g3) - (g4*t^6.76)/(g2*g3) + g1^2*g3^4*t^7.44 + g1*g2*g3^4*t^7.44 + g2^2*g3^4*t^7.44 + 2*g3^5*g4*t^7.44 + (g1*g3^5*g4*t^7.44)/g2 + (g2*g3^5*g4*t^7.44)/g1 + g1^2*g3^2*g4^2*t^7.44 + 2*g1*g2*g3^2*g4^2*t^7.44 + g2^2*g3^2*g4^2*t^7.44 + (g3^6*g4^2*t^7.44)/g1^2 + (g3^6*g4^2*t^7.44)/g2^2 + (g3^6*g4^2*t^7.44)/(g1*g2) + 4*g3^3*g4^3*t^7.44 + (2*g1*g3^3*g4^3*t^7.44)/g2 + (2*g2*g3^3*g4^3*t^7.44)/g1 + g1^2*g4^4*t^7.44 + g1*g2*g4^4*t^7.44 + g2^2*g4^4*t^7.44 + (g3^4*g4^4*t^7.44)/g1^2 + (g3^4*g4^4*t^7.44)/g2^2 + (2*g3^4*g4^4*t^7.44)/(g1*g2) + 2*g3*g4^5*t^7.44 + (g1*g3*g4^5*t^7.44)/g2 + (g2*g3*g4^5*t^7.44)/g1 + (g3^2*g4^6*t^7.44)/g1^2 + (g3^2*g4^6*t^7.44)/g2^2 + (g3^2*g4^6*t^7.44)/(g1*g2) + g1^2*g2*g3^2*t^8.2 + g1*g2^2*g3^2*t^8.2 + (g3^6*t^8.2)/g1 + (g3^6*t^8.2)/g2 + (g1*g3^5*t^8.2)/g4 + (g2*g3^5*t^8.2)/g4 + 3*g1*g3^3*g4*t^8.2 + (g1^2*g3^3*g4*t^8.2)/g2 + 3*g2*g3^3*g4*t^8.2 + (g2^2*g3^3*g4*t^8.2)/g1 + g1^2*g2*g4^2*t^8.2 + g1*g2^2*g4^2*t^8.2 + (3*g3^4*g4^2*t^8.2)/g1 + (g1*g3^4*g4^2*t^8.2)/g2^2 + (3*g3^4*g4^2*t^8.2)/g2 + (g2*g3^4*g4^2*t^8.2)/g1^2 + 3*g1*g3*g4^3*t^8.2 + (g1^2*g3*g4^3*t^8.2)/g2 + 3*g2*g3*g4^3*t^8.2 + (g2^2*g3*g4^3*t^8.2)/g1 + (g3^5*g4^3*t^8.2)/(g1*g2^2) + (g3^5*g4^3*t^8.2)/(g1^2*g2) + (3*g3^2*g4^4*t^8.2)/g1 + (g1*g3^2*g4^4*t^8.2)/g2^2 + (3*g3^2*g4^4*t^8.2)/g2 + (g2*g3^2*g4^4*t^8.2)/g1^2 + (g1*g4^5*t^8.2)/g3 + (g2*g4^5*t^8.2)/g3 + (g3^3*g4^5*t^8.2)/(g1*g2^2) + (g3^3*g4^5*t^8.2)/(g1^2*g2) + (g4^6*t^8.2)/g1 + (g4^6*t^8.2)/g2 + g3^6*g4^6*t^8.88 + g1^2*g2^2*t^8.96 + (g3^6*t^8.96)/g4^2 - g3^2*g4^2*t^8.96 + (g1^2*g3^2*g4^2*t^8.96)/g2^2 + (g2^2*g3^2*g4^2*t^8.96)/g1^2 + (g3^4*g4^4*t^8.96)/(g1^2*g2^2) + (g4^6*t^8.96)/g3^2 - t^4.52/(g3*g4*y) + (g3*g4*t^7.48)/y - t^7.56/(g3^3*g4^3*y) - (t^4.52*y)/(g3*g4) + g3*g4*t^7.48*y - (t^7.56*y)/(g3^3*g4^3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55593 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \tilde{q}_2^2\tilde{q}_3^2$ | 0.7969 | 0.9531 | 0.8361 | [X:[], M:[], q:[0.75, 0.75, 0.75], qb:[0.75, 0.5, 0.5], phi:[0.5]] | 2*t^3. + 8*t^3.75 + 9*t^4.5 - 7*t^6. - t^4.5/y - t^4.5*y | detail | {a: 51/64, c: 61/64, q1: 3/4, q2: 3/4, q3: 3/4, qb1: 3/4, qb2: 1/2, qb3: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55430 | SU2adj1nf3 | $\phi_1q_1q_2$ | 0.8434 | 1.0148 | 0.831 | [X:[], M:[], q:[0.7257, 0.7257, 0.5885], qb:[0.5885, 0.5885, 0.5885], phi:[0.5487]] | t^3.29 + 6*t^3.53 + 8*t^3.94 + t^4.35 + 10*t^5.18 - 17*t^6. - t^4.65/y - t^4.65*y | detail |