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 |
|---|---|---|---|---|---|---|---|---|---|
| 89 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ | 0.6052 | 0.7778 | 0.7781 | [X:[], M:[0.7392], q:[0.75, 0.25], qb:[0.5108, 0.4892], phi:[0.5]] | [X:[], M:[[1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_1q_1q_2$, $ M_1\phi_1q_2^2$, $ q_1q_2^2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ q_1q_2^2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_1\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $\phi_1^3q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$, $ M_1q_1\tilde{q}_1$, $ 2q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | 7 | 2*t^2.22+t^2.28+4*t^3.+2*t^3.72+t^3.78+4*t^4.44+3*t^4.5+2*t^4.56+7*t^5.22+3*t^5.28+3*t^5.94+7*t^6.+6*t^6.65+7*t^6.72+2*t^6.78+2*t^6.85+13*t^7.44+3*t^7.5+4*t^7.56+6*t^8.15+7*t^8.22+t^8.35+9*t^8.87+9*t^8.94-t^4.5/y-t^6.72/y+t^7.44/y+(2*t^7.5)/y+(8*t^8.22)/y+(5*t^8.28)/y+(3*t^8.94)/y-t^4.5*y-t^6.72*y+t^7.44*y+2*t^7.5*y+8*t^8.22*y+5*t^8.28*y+3*t^8.94*y | 2*g1*t^2.22+t^2.28/g1+4*t^3.+2*g1*t^3.72+t^3.78/g1+4*g1^2*t^4.44+3*t^4.5+(2*t^4.56)/g1^2+7*g1*t^5.22+(3*t^5.28)/g1+3*g1^2*t^5.94+7*t^6.+6*g1^3*t^6.65+7*g1*t^6.72+(2*t^6.78)/g1+(2*t^6.85)/g1^3+13*g1^2*t^7.44+3*t^7.5+(4*t^7.56)/g1^2+6*g1^3*t^8.15+7*g1*t^8.22+t^8.35/g1^3+9*g1^4*t^8.87+9*g1^2*t^8.94-t^4.5/y-(g1*t^6.72)/y+(g1^2*t^7.44)/y+(2*t^7.5)/y+(8*g1*t^8.22)/y+(5*t^8.28)/(g1*y)+(3*g1^2*t^8.94)/y-t^4.5*y-g1*t^6.72*y+g1^2*t^7.44*y+2*t^7.5*y+8*g1*t^8.22*y+(5*t^8.28*y)/g1+3*g1^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 145 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1q_2\tilde{q}_2$ | 0.605 | 0.7769 | 0.7788 | [X:[], M:[0.75], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] | 3*t^2.25+4*t^3.+3*t^3.75+9*t^4.5+10*t^5.25+10*t^6.-t^4.5/y-t^4.5*y | detail | {a: 1239/2048, c: 1591/2048, M1: 3/4, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
| 146 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_2\phi_1q_2\tilde{q}_2$ | 0.624 | 0.8115 | 0.769 | [X:[], M:[0.75, 0.75], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] | 4*t^2.25+4*t^3.+2*t^3.75+13*t^4.5+14*t^5.25+9*t^6.-t^4.5/y-t^4.5*y | detail | {a: 639/1024, c: 831/1024, M1: 3/4, M2: 3/4, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
| 1708 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ + $ M_1\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.6248 | 0.8147 | 0.7669 | [X:[], M:[0.7307, 0.7307], q:[0.75, 0.25], qb:[0.5193, 0.4807], phi:[0.5]] | 3*t^2.19+t^2.31+4*t^3.+2*t^3.69+7*t^4.38+4*t^4.5+2*t^4.62+11*t^5.19+3*t^5.31+5*t^5.88+5*t^6.-t^4.5/y-t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 58 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ | 0.5859 | 0.7422 | 0.7895 | [X:[], M:[], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] | 2*t^2.25+4*t^3.+4*t^3.75+6*t^4.5+6*t^5.25+9*t^6.-t^4.5/y-t^4.5*y | detail | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2} |