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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\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$, $ q_1q_2^2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^3q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ 2q_1q_2\tilde{q}_1\tilde{q}_2$, $ 2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | 9 | 2*t^2.25+4*t^3.+4*t^3.75+6*t^4.5+6*t^5.25+9*t^6.+12*t^6.75+14*t^7.5+10*t^8.25-t^4.5/y+t^7.5/y+(8*t^8.25)/y-t^4.5*y+t^7.5*y+8*t^8.25*y | t^2.25/g1+g1*t^2.25+4*t^3.+(2*t^3.75)/g1+2*g1*t^3.75+2*t^4.5+(2*t^4.5)/g1^2+2*g1^2*t^4.5+(3*t^5.25)/g1+3*g1*t^5.25+7*t^6.+t^6./g1^2+g1^2*t^6.+(2*t^6.75)/g1^3+(4*t^6.75)/g1+4*g1*t^6.75+2*g1^3*t^6.75+2*t^7.5+(6*t^7.5)/g1^2+6*g1^2*t^7.5+(3*t^8.25)/g1^3+(2*t^8.25)/g1+2*g1*t^8.25+3*g1^3*t^8.25-t^4.5/y+t^7.5/y+(4*t^8.25)/(g1*y)+(4*g1*t^8.25)/y-t^4.5*y+t^7.5*y+(4*t^8.25*y)/g1+4*g1*t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 89 | $\phi_1q_1^2$ + $ \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]] | 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.-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 |
|---|---|---|---|---|---|---|---|---|---|
| 44 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.6515 | 0.7734 | 0.8425 | [X:[], M:[], q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] | t^2.34+2*t^3.08+3*t^3.66+4*t^4.25+t^4.68+3*t^4.83-3*t^6.-t^4.17/y-t^4.17*y | detail |