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 |
|---|---|---|---|---|---|---|---|---|---|
| 2709 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ | 0.6466 | 0.8276 | 0.7814 | [X:[], M:[1.105, 0.75, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | [X:[], M:[[1], [0], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ q_1q_2^2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$ | . | -2 | 3*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.87 + t^4.06 + t^4.19 + 7*t^4.5 + 3*t^4.81 + t^5.13 + 3*t^5.25 + 6*t^5.56 + 2*t^5.69 + 4*t^5.88 - 2*t^6. + 2*t^6.12 + t^6.19 + 2*t^6.31 + 2*t^6.44 + 4*t^6.63 + 12*t^6.75 + t^6.87 + 2*t^6.94 + 5*t^7.06 - t^7.19 + t^7.26 + t^7.31 + 3*t^7.38 + 5*t^7.5 - t^7.62 + 2*t^7.69 + t^7.74 + 11*t^7.81 + t^7.94 + t^8.06 + 10*t^8.13 - 8*t^8.25 + 4*t^8.37 + 4*t^8.44 + t^8.56 + 2*t^8.69 + t^8.76 + 8*t^8.88 - t^4.5/y - (2*t^6.75)/y + t^7.19/y + (3*t^7.5)/y + (2*t^7.81)/y + (5*t^8.25)/y + (7*t^8.56)/y + (3*t^8.69)/y + (5*t^8.88)/y - t^4.5*y - 2*t^6.75*y + t^7.19*y + 3*t^7.5*y + 2*t^7.81*y + 5*t^8.25*y + 7*t^8.56*y + 3*t^8.69*y + 5*t^8.88*y | 3*t^2.25 + g1*t^2.56 + t^3. + 2*g1*t^3.31 + t^3.44/g1 + g1^2*t^3.63 + t^3.87/g1^2 + g1*t^4.06 + t^4.19/g1 + 7*t^4.5 + 3*g1*t^4.81 + g1^2*t^5.13 + 3*t^5.25 + 6*g1*t^5.56 + (2*t^5.69)/g1 + 4*g1^2*t^5.88 - 2*t^6. + (2*t^6.12)/g1^2 + g1^3*t^6.19 + 2*g1*t^6.31 + (2*t^6.44)/g1 + 4*g1^2*t^6.63 + 12*t^6.75 + t^6.87/g1^2 + 2*g1^3*t^6.94 + 5*g1*t^7.06 - t^7.19/g1 + g1^4*t^7.26 + t^7.31/g1^3 + 3*g1^2*t^7.38 + 5*t^7.5 - t^7.62/g1^2 + 2*g1^3*t^7.69 + t^7.74/g1^4 + 11*g1*t^7.81 + t^7.94/g1 + t^8.06/g1^3 + 10*g1^2*t^8.13 - 8*t^8.25 + (4*t^8.37)/g1^2 + 4*g1^3*t^8.44 + g1*t^8.56 + (2*t^8.69)/g1 + g1^4*t^8.76 + 8*g1^2*t^8.88 - t^4.5/y - (2*t^6.75)/y + t^7.19/(g1*y) + (3*t^7.5)/y + (2*g1*t^7.81)/y + (5*t^8.25)/y + (7*g1*t^8.56)/y + (3*t^8.69)/(g1*y) + (5*g1^2*t^8.88)/y - t^4.5*y - 2*t^6.75*y + (t^7.19*y)/g1 + 3*t^7.5*y + 2*g1*t^7.81*y + 5*t^8.25*y + 7*g1*t^8.56*y + (3*t^8.69*y)/g1 + 5*g1^2*t^8.88*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3217 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ | 0.657 | 0.8445 | 0.778 | [X:[], M:[1.125, 0.75, 0.75, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 3*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 6*t^4.88 + 6*t^5.25 + 6*t^5.62 + 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2691/4096, c: 3459/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| 3216 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6671 | 0.8676 | 0.7689 | [X:[], M:[1.0975, 0.75, 0.75, 0.6949], q:[0.75, 0.4025], qb:[0.5, 0.3475], phi:[0.5]] | t^2.08 + 3*t^2.25 + t^2.54 + t^3. + 2*t^3.29 + t^3.46 + t^3.58 + t^4.04 + t^4.17 + t^4.21 + 3*t^4.33 + 7*t^4.5 + t^4.63 + 3*t^4.79 + 2*t^5.08 + 3*t^5.25 + 2*t^5.38 + 7*t^5.54 + t^5.67 + 2*t^5.71 + 4*t^5.83 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1713 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.6276 | 0.7929 | 0.7915 | [X:[], M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]] | 2*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.75 + t^3.87 + t^4.06 + t^4.19 + 4*t^4.5 + 2*t^4.81 + t^5.13 + 2*t^5.25 + 4*t^5.56 + t^5.69 + 3*t^5.88 - t^4.5/y - t^4.5*y | detail |