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 |
|---|---|---|---|---|---|---|---|---|---|
| 21 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.4914 | 0.5715 | 0.8598 | [X:[1.5], M:[1.0, 0.7183, 0.75], q:[0.5159], qb:[0.4841], phi:[0.25]] | [X:[[0]], M:[[0], [2], [0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ X_1$, $ M_1M_2$, $ M_1M_3$, $ M_2\phi_1\tilde{q}_1^2$ | . | -1 | t^2.15 + t^2.25 + t^3. + t^3.65 + t^4.31 + t^4.4 + 2*t^4.5 + t^5.15 + t^5.25 + t^5.81 - t^6. - t^6.1 + t^6.46 + t^6.56 + 2*t^6.65 + t^6.75 - t^6.85 + 2*t^7.31 + t^7.4 + t^7.5 + t^7.96 - t^8.15 - 2*t^8.25 - 2*t^8.35 + t^8.62 + t^8.71 + 2*t^8.81 - t^8.9 - t^8.9/y^2 - t^3.75/y - t^5.9/y - t^6./y + t^7.4/y + t^7.5/y + t^7.6/y - t^8.06/y + t^8.81/y + t^8.9/y - t^3.75*y - t^5.9*y - t^6.*y + t^7.4*y + t^7.5*y + t^7.6*y - t^8.06*y + t^8.81*y + t^8.9*y - t^8.9*y^2 | g1^2*t^2.15 + t^2.25 + t^3. + g1^2*t^3.65 + g1^4*t^4.31 + g1^2*t^4.4 + 2*t^4.5 + g1^2*t^5.15 + t^5.25 + g1^4*t^5.81 - t^6. - t^6.1/g1^2 + g1^6*t^6.46 + g1^4*t^6.56 + 2*g1^2*t^6.65 + t^6.75 - t^6.85/g1^2 + 2*g1^4*t^7.31 + g1^2*t^7.4 + t^7.5 + g1^6*t^7.96 - g1^2*t^8.15 - 2*t^8.25 - (2*t^8.35)/g1^2 + g1^8*t^8.62 + g1^6*t^8.71 + 2*g1^4*t^8.81 - g1^2*t^8.9 - (g1^2*t^8.9)/y^2 - t^3.75/y - (g1^2*t^5.9)/y - t^6./y + (g1^2*t^7.4)/y + t^7.5/y + t^7.6/(g1^2*y) - (g1^4*t^8.06)/y + (g1^4*t^8.81)/y + (g1^2*t^8.9)/y - t^3.75*y - g1^2*t^5.9*y - t^6.*y + g1^2*t^7.4*y + t^7.5*y + (t^7.6*y)/g1^2 - g1^4*t^8.06*y + g1^4*t^8.81*y + g1^2*t^8.9*y - g1^2*t^8.9*y^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 |
|---|---|---|---|---|---|---|---|---|
| 31 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.5098 | 0.6035 | 0.8447 | [X:[1.5], M:[1.0, 0.75, 0.75, 0.75], q:[0.5], qb:[0.5], phi:[0.25]] | 3*t^2.25 + t^3. + 7*t^4.5 + 3*t^5.25 - 3*t^6. - t^3.75/y - (3*t^6.)/y - t^3.75*y - 3*t^6.*y | detail | {a: 261/512, c: 309/512, X1: 3/2, M1: 1, M2: 3/4, M3: 3/4, M4: 3/4, q1: 1/2, qb1: 1/2, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 256 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.4914 | 0.5715 | 0.8598 | [X:[1.5], M:[1.0, 0.7183, 0.75], q:[0.875, 1.125], qb:[0.5159, 0.4841], phi:[0.25]] | t^2.15 + t^2.25 + t^3. + t^3.65 + t^4.31 + t^4.4 + 2*t^4.5 + t^5.15 + t^5.25 + t^5.81 - t^6. - t^3.75/y - t^5.9/y - t^6./y - t^3.75*y - t^5.9*y - t^6.*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 12 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1q_1^2$ | 0.4723 | 0.5368 | 0.8799 | [X:[1.5], M:[1.0, 0.7183], q:[0.5159], qb:[0.4841], phi:[0.25]] | t^2.15 + t^3. + t^3.65 + t^3.75 + t^4.31 + t^4.5 + t^5.15 + t^5.81 - t^6. - t^3.75/y - t^5.9/y - t^3.75*y - t^5.9*y | detail |