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 |