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 |
|---|---|---|---|---|---|---|---|---|---|
| 45755 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], M:[], q:[0.4426], qb:[0.4426], phi:[0.1858]] | [X:[[0, 2], [0, 3]], M:[], q:[[-1, 6]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_2$, $ X_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_1^3$, $ \phi_1q_1^2\tilde{q}_1^2$ | . | -2 | t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. + 2*t^6.43 - t^6.56 + 2*t^6.98 + 3*t^7.54 + t^7.67 - 2*t^7.89 + t^7.97 + t^8.1 + t^8.23 + 2*t^8.31 - 2*t^8.44 + t^8.52 - t^8.66 + t^8.79 + 2*t^8.87 + t^7.67/y^2 - t^3.56/y - t^4.11/y - t^6.21/y - t^6.77/y - t^7.33/y - t^7.89/y - t^8.44/y - t^3.56*y - t^4.11*y - t^6.21*y - t^6.77*y - t^7.33*y - t^7.89*y - t^8.44*y + t^7.67*y^2 | g2^6*t^2.66 + g2^5*t^3.21 + g2^4*t^3.77 + g2^3*t^4.33 + g2^2*t^4.89 + g2^12*t^5.31 + (g1^3*t^5.66)/g2^3 + (g2^15*t^5.66)/g1^3 + g2^11*t^5.87 - 2*t^6. + 2*g2^10*t^6.43 - t^6.56/g2 + 2*g2^9*t^6.98 + 3*g2^8*t^7.54 + t^7.67/g2^3 - (g1^3*t^7.89)/g2^7 - (g2^11*t^7.89)/g1^3 + g2^18*t^7.97 + g2^7*t^8.1 + t^8.23/g2^4 + g1^3*g2^3*t^8.31 + (g2^21*t^8.31)/g1^3 - (g1^3*t^8.44)/g2^8 - (g2^10*t^8.44)/g1^3 + g2^17*t^8.52 - g2^6*t^8.66 + t^8.79/g2^5 + g1^3*g2^2*t^8.87 + (g2^20*t^8.87)/g1^3 + t^7.67/(g2^3*y^2) - t^3.56/(g2*y) - t^4.11/(g2^2*y) - (g2^5*t^6.21)/y - (g2^4*t^6.77)/y - (g2^3*t^7.33)/y - (g2^2*t^7.89)/y - (g2*t^8.44)/y - (t^3.56*y)/g2 - (t^4.11*y)/g2^2 - g2^5*t^6.21*y - g2^4*t^6.77*y - g2^3*t^7.33*y - g2^2*t^7.89*y - g2*t^8.44*y + (t^7.67*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45759 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.9197 | 0.9681 | 0.95 | [X:[1.6452, 1.4678], M:[0.8871], q:[0.4678], qb:[0.4678], phi:[0.1774]] | t^2.66 + t^2.81 + t^3.87 + t^4.4 + t^4.94 + t^5.32 + t^5.47 + t^5.61 + 2*t^5.81 - 2*t^6. - t^3.53/y - t^4.06/y - t^3.53*y - t^4.06*y | detail | |
| 45761 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506], qb:[0.4506], phi:[0.1831]] | t^2.2 + t^2.7 + t^3.25 + t^4.35 + t^4.4 + 2*t^4.9 + t^5.41 + t^5.45 + 2*t^5.7 + t^5.96 - 2*t^6. - t^3.55/y - t^4.1/y - t^5.75/y - t^3.55*y - t^4.1*y - t^5.75*y | detail | |
| 45760 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1q_1\tilde{q}_1$ | 0.9037 | 0.9394 | 0.962 | [X:[1.6509, 1.4763], M:[1.0474], q:[0.4763], qb:[0.4763], phi:[0.1746]] | t^3.14 + t^3.38 + t^3.91 + t^4.43 + t^4.95 + 2*t^5.86 - 2*t^6. - t^3.52/y - t^4.05/y - t^3.52*y - t^4.05*y | detail | |
| 45758 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ | 0.9109 | 0.9563 | 0.9525 | [X:[1.6364, 1.4545], M:[], q:[0.4545], qb:[0.4545], phi:[0.1818]] | t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + t^5.45 + 2*t^5.73 - t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 9699/10648, c: 10183/10648, X1: 18/11, X2: 16/11, q1: 5/11, qb1: 5/11, phi1: 2/11} |
| 45757 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ | 0.9085 | 0.9521 | 0.9542 | [X:[1.6403, 1.4605], M:[], q:[0.4342], qb:[0.4868], phi:[0.1798]] | t^2.76 + t^3.3 + t^3.84 + t^4.38 + t^4.92 + 2*t^5.53 - t^6. - t^3.54/y - t^4.08/y - t^3.54*y - t^4.08*y | detail | |
| 45756 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ q_1^2\tilde{q}_1^2$ | 0.9023 | 0.9336 | 0.9665 | [X:[1.6667, 1.5], M:[], q:[0.5], qb:[0.5], phi:[0.1667]] | t^3. + t^3.5 + t^4. + t^4.5 + t^5. + t^6. - t^3.5/y - t^4./y - t^3.5*y - t^4.*y | detail | {a: 231/256, c: 239/256, X1: 5/3, X2: 3/2, q1: 1/2, qb1: 1/2, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47888 | SU3adj1nf2 | $\phi_1q_1^2q_2$ + $ \phi_1^2X_1$ + $ q_1\tilde{q}_1$ + $ \phi_1^3X_2$ | 0.9113 | 0.9605 | 0.9488 | [X:[1.6284, 1.4426], M:[], q:[0.6858, 0.4426], qb:[1.3142, 0.4426], phi:[0.1858]] | t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. - t^3.56/y - t^4.11/y - t^3.56*y - t^4.11*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 |
|---|