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 |
|---|---|---|---|---|---|---|---|---|---|
| 6 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.5], qb:[0.5], phi:[0.25]] | [X:[[0]], M:[[0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 1/2, qb1: 1/2, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ X_1$ | . | -3 | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. + 6*t^7.5 + t^8.25 - t^3.75/y - t^3.75*y | t^3. + t^3.75 + t^3.75/g1^2 + g1^2*t^3.75 + t^4.5 - t^6. - t^6./g1^2 - g1^2*t^6. + 2*t^7.5 + t^7.5/g1^4 + t^7.5/g1^2 + g1^2*t^7.5 + g1^4*t^7.5 + t^8.25 - t^3.75/y - t^3.75*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 |
|---|---|---|---|---|---|---|---|---|
| 11 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ | 0.4717 | 0.5342 | 0.883 | [X:[1.5], M:[1.0, 0.75], q:[0.5], qb:[0.5], phi:[0.25]] | t^2.25 + t^3. + 2*t^3.75 + 2*t^4.5 + t^5.25 - t^6. - t^3.75/y - t^6./y - t^3.75*y - t^6.*y | detail | {a: 483/1024, c: 547/1024, X1: 3/2, M1: 1, M2: 3/4, q1: 1/2, qb1: 1/2, phi1: 1/4} |
| 12 | $\phi_1^2X_1$ + $ 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 102 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.875, 1.125], qb:[0.5, 0.5], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 9/8, qb1: 1/2, qb2: 1/2, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[0.2222]] | t^2.67 + 3*t^4. + t^4.67 + t^5.33 - 4*t^6. - t^3.67/y - t^3.67*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 5/9, qb1: 5/9, phi1: 2/9} |