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 |
|---|---|---|---|---|---|---|---|---|---|
| 47877 | SU3adj1nf2 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ | 0.9668 | 1.1543 | 0.8376 | [X:[1.5, 1.5, 1.5, 1.5], M:[], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] | [X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]] | 3 | {a: 495/512, c: 591/512, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2^2$, $ \phi_1q_1^2q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^3$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ X_2$, $ X_3$, $ X_4$, $ \phi_1^2q_1\tilde{q}_2$, $ X_2$, $ \phi_1^2q_2\tilde{q}_1$, $ X_3$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_4$, $ \phi_1^2q_1q_2^2$, $ \phi_1^2q_1^2q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1^2\tilde{q}_2$ | $\phi_1^2q_1^2\tilde{q}_1^2$, $ \phi_1^2q_1q_2\tilde{q}_1^2$, $ \phi_1^2q_2^2\tilde{q}_1^2$, $ \phi_1^2q_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1q_2\tilde{q}_2^2$, $ \phi_1^2q_2^2\tilde{q}_2^2$ | 2 | 5*t^3. + 4*t^3.75 + 9*t^4.5 + 4*t^5.25 + 2*t^6. + 16*t^6.75 + 39*t^7.5 + 12*t^8.25 - t^4.5/y - t^6./y + t^7.5/y - t^4.5*y - t^6.*y + t^7.5*y | t^3. + t^3./g2 + g2*t^3. + t^3./g3 + g3*t^3. + t^3.75/(g1^3*g2*g3^2) + t^3.75/(g1^3*g2^2*g3) + g1^3*g2*g3*t^3.75 + g1^3*g2^2*g3^2*t^3.75 + t^4.5 + (2*t^4.5)/g2 + 2*g2*t^4.5 + (2*t^4.5)/g3 + 2*g3*t^4.5 + t^5.25/(g1^3*g2*g3^2) + t^5.25/(g1^3*g2^2*g3) + g1^3*g2*g3*t^5.25 + g1^3*g2^2*g3^2*t^5.25 - 2*t^6. + t^6./g2^2 + g2^2*t^6. + t^6./g3^2 + g3^2*t^6. + g1^3*t^6.75 + t^6.75/(g1^3*g2^3) + t^6.75/(g1^3*g2^2) + g1^3*g2*t^6.75 + t^6.75/(g1^3*g3^3) + t^6.75/(g1^3*g2*g3^3) + t^6.75/(g1^3*g3^2) + t^6.75/(g1^3*g2*g3^2) + t^6.75/(g1^3*g2^3*g3) + t^6.75/(g1^3*g2^2*g3) + g1^3*g3*t^6.75 + g1^3*g2*g3*t^6.75 + g1^3*g2^2*g3^2*t^6.75 + g1^3*g2^3*g3^2*t^6.75 + g1^3*g2^2*g3^3*t^6.75 + g1^3*g2^3*g3^3*t^6.75 + 5*t^7.5 + (2*t^7.5)/g2^2 + (2*t^7.5)/g2 + 2*g2*t^7.5 + 2*g2^2*t^7.5 + t^7.5/(g1^6*g2^2*g3^4) + t^7.5/(g1^6*g2^3*g3^3) + (2*t^7.5)/g3^2 + t^7.5/(g1^6*g2^4*g3^2) + (2*t^7.5)/g3 + (3*t^7.5)/(g2*g3) + (3*g2*t^7.5)/g3 + 2*g3*t^7.5 + (3*g3*t^7.5)/g2 + 3*g2*g3*t^7.5 + 2*g3^2*t^7.5 + g1^6*g2^2*g3^2*t^7.5 + g1^6*g2^3*g3^3*t^7.5 + g1^6*g2^4*g3^4*t^7.5 - g1^3*t^8.25 - t^8.25/(g1^3*g2^3) + t^8.25/(g1^3*g2^2) + g1^3*g2*t^8.25 - t^8.25/(g1^3*g3^3) + t^8.25/(g1^3*g2*g3^3) + t^8.25/(g1^3*g3^2) + (2*t^8.25)/(g1^3*g2^2*g3^2) + t^8.25/(g1^3*g2^3*g3) + (2*t^8.25)/(g1^3*g2*g3) + g1^3*g3*t^8.25 + 2*g1^3*g2^2*g3*t^8.25 + 2*g1^3*g2*g3^2*t^8.25 + g1^3*g2^3*g3^2*t^8.25 + g1^3*g2^2*g3^3*t^8.25 - g1^3*g2^3*g3^3*t^8.25 - t^4.5/y - t^6./y + t^7.5/y - t^4.5*y - t^6.*y + t^7.5*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 |
|---|---|---|---|---|---|---|---|---|
| 47941 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ + $ M_1\phi_1q_1^2q_2$ | 0.9864 | 1.191 | 0.8281 | [X:[1.4928, 1.5072, 1.4928, 1.5072], M:[0.725], q:[0.2631, 0.2487], qb:[0.2441, 0.2441], phi:[0.5]] | t^2.18 + 2*t^2.98 + t^3. + 2*t^3.02 + 2*t^3.7 + t^3.78 + t^4.35 + 4*t^4.48 + t^4.5 + 4*t^4.52 + 2*t^5.15 + t^5.18 + 4*t^5.2 + t^5.28 + t^5.32 + 2*t^5.87 + 3*t^5.96 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 47905 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ + $ M_1\phi_1q_2\tilde{q}_2$ | 0.9689 | 1.1591 | 0.8359 | [X:[1.5437, 1.5, 1.5, 1.4563], M:[0.9563], q:[0.2282, 0.2718], qb:[0.2282, 0.2718], phi:[0.5]] | 2*t^2.87 + 3*t^3. + 2*t^3.68 + 2*t^3.82 + 2*t^4.37 + 5*t^4.5 + 2*t^4.63 + 2*t^5.18 + 2*t^5.32 + 3*t^5.74 + 3*t^5.87 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 47896 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ + $ \phi_1^2q_1^2q_2$ | 0.9308 | 1.1183 | 0.8323 | [X:[1.4226, 1.5774, 1.4226, 1.5774], M:[], q:[0.3849, 0.2302], qb:[0.1925, 0.1925], phi:[0.5]] | 2*t^2.77 + t^3. + 4*t^3.23 + t^4.04 + 4*t^4.27 + 2*t^4.5 + 6*t^4.73 + 3*t^5.54 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |