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 |
|---|---|---|---|---|---|---|---|---|---|
| 24 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_1M_3$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.3021], qb:[0.4893], phi:[0.3021]] | [X:[[2]], M:[[3], [-9], [-3]], q:[[-1]], qb:[[5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_1\tilde{q}_1$, $ M_3$, $ M_1$, $ X_1$, $ M_2^2$, $ M_2q_1\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_1M_2$, $ M_3^2$, $ M_1q_1\tilde{q}_1$ | . | -1 | t^2.16 + t^2.37 + t^2.72 + t^3.28 + t^4.19 + t^4.32 + t^4.53 + t^4.75 + t^4.88 + t^5.09 + t^5.44 + t^5.65 - t^6. + t^6.47 + t^6.69 + t^7.04 + t^7.12 + t^7.25 + t^7.6 + t^7.81 - t^8.16 - t^8.37 + t^8.63 - t^8.72 + t^8.85 - t^3.91/y - t^6.06/y + t^7.53/y + t^7.75/y + t^7.88/y + t^8.09/y - t^8.22/y + t^8.44/y + t^8.65/y - t^3.91*y - t^6.06*y + t^7.53*y + t^7.75*y + t^7.88*y + t^8.09*y - t^8.22*y + t^8.44*y + t^8.65*y | t^2.16/g1^9 + g1^4*t^2.37 + t^2.72/g1^3 + g1^3*t^3.28 + g1^2*t^4.19 + t^4.32/g1^18 + t^4.53/g1^5 + g1^8*t^4.75 + t^4.88/g1^12 + g1*t^5.09 + t^5.44/g1^6 + g1^7*t^5.65 - t^6. + t^6.47/g1^27 + t^6.69/g1^14 + t^7.04/g1^21 + g1^12*t^7.12 + t^7.25/g1^8 + t^7.6/g1^15 + t^7.81/g1^2 - t^8.16/g1^9 - g1^4*t^8.37 + t^8.63/g1^36 - t^8.72/g1^3 + t^8.85/g1^23 - t^3.91/(g1*y) - t^6.06/(g1^10*y) + t^7.53/(g1^5*y) + (g1^8*t^7.75)/y + t^7.88/(g1^12*y) + (g1*t^8.09)/y - t^8.22/(g1^19*y) + t^8.44/(g1^6*y) + (g1^7*t^8.65)/y - (t^3.91*y)/g1 - (t^6.06*y)/g1^10 + (t^7.53*y)/g1^5 + g1^8*t^7.75*y + (t^7.88*y)/g1^12 + g1*t^8.09*y - (t^8.22*y)/g1^19 + (t^8.44*y)/g1^6 + g1^7*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 32 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_1M_4$ | 0.4419 | 0.5359 | 0.8246 | [X:[1.4016], M:[1.1025, 0.6926, 0.8975, 0.8975], q:[0.2992], qb:[0.5041], phi:[0.2992]] | t^2.08 + t^2.41 + 2*t^2.69 + t^4.16 + t^4.2 + t^4.49 + 2*t^4.77 + t^4.82 + 2*t^5.1 + 2*t^5.39 - 2*t^6. - t^3.9/y - t^5.98/y - t^3.9*y - t^5.98*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 |
|---|---|---|---|---|---|---|---|---|---|
| 267 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ M_3q_1q_2$ + $ M_1M_3$ | 0.4329 | 0.5202 | 0.8323 | [X:[1.3957], M:[1.0936, 0.7193, 0.9064], q:[0.8489, 0.2446], qb:[0.6618, 1.036], phi:[0.3021]] | t^2.16 + t^2.37 + t^2.72 + t^3.28 + t^4.19 + t^4.32 + t^4.53 + t^4.75 + t^4.88 + t^5.09 + t^5.44 + t^5.65 - t^6. - t^3.91/y - t^3.91*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 |
|---|---|---|---|---|---|---|---|---|---|
| 17 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | 3*t^2.11 + t^3.18 + 6*t^4.22 + t^4.59 + 3*t^5.3 - 4*t^6. - t^3.7/y - (3*t^5.82)/y - t^3.7*y - 3*t^5.82*y | detail |