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 |
|---|---|---|---|---|---|---|---|---|---|
| 8189 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9814 | 1.1377 | 0.8627 | [X:[1.5, 1.5], M:[], q:[0.25, 0.25], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 1005/1024, c: 1165/1024, X1: 3/2, X2: 3/2, q1: 1/4, q2: 1/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^2q_1^4$, $ \phi_1^2q_1^3q_2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_2^4$, $ X_1$, $ X_2$, $ \phi_1^2q_1^4$, $ \phi_1^2q_1^3q_2$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_2^4$, $ \phi_1^5q_1^2$, $ \phi_1^5q_1q_2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1^2q_2^2$, $ \phi_1^3q_1q_2^3$, $ \phi_1^5q_1^2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$ | $\phi_1^4q_1^4$, $ \phi_1^6q_1q_2$, $ 2\phi_1^4q_1^3q_2$, $ 3\phi_1^4q_1^2q_2^2$, $ 2\phi_1^4q_1q_2^3$, $ \phi_1^4q_2^4$ | 7 | 3*t^2.25+2*t^3.+3*t^3.75+8*t^4.5+6*t^5.25+7*t^6.+16*t^6.75+17*t^7.5+12*t^8.25-t^3.75/y-t^5.25/y-(3*t^6.)/y-t^6.75/y-t^8.25/y-t^3.75*y-t^5.25*y-3*t^6.*y-t^6.75*y-t^8.25*y | t^2.25+t^2.25/g1^2+g1^2*t^2.25+2*t^3.+t^3.75+t^3.75/g1^2+g1^2*t^3.75+4*t^4.5+t^4.5/g1^4+t^4.5/g1^2+g1^2*t^4.5+g1^4*t^4.5+2*t^5.25+(2*t^5.25)/g1^2+2*g1^2*t^5.25+3*t^6.+t^6./g1^4+t^6./g1^2+g1^2*t^6.+g1^4*t^6.+4*t^6.75+t^6.75/g1^6+t^6.75/g1^4+(4*t^6.75)/g1^2+4*g1^2*t^6.75+g1^4*t^6.75+g1^6*t^6.75+7*t^7.5+(3*t^7.5)/g1^4+(2*t^7.5)/g1^2+2*g1^2*t^7.5+3*g1^4*t^7.5+2*t^8.25+t^8.25/g1^6+t^8.25/g1^4+(3*t^8.25)/g1^2+3*g1^2*t^8.25+g1^4*t^8.25+g1^6*t^8.25-t^3.75/y-t^5.25/y-t^6./y-t^6./(g1^2*y)-(g1^2*t^6.)/y-t^6.75/y-t^8.25/y-t^8.25/(g1^4*y)+t^8.25/(g1^2*y)+(g1^2*t^8.25)/y-(g1^4*t^8.25)/y-t^3.75*y-t^5.25*y-t^6.*y-(t^6.*y)/g1^2-g1^2*t^6.*y-t^6.75*y-t^8.25*y-(t^8.25*y)/g1^4+(t^8.25*y)/g1^2+g1^2*t^8.25*y-g1^4*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 |
|---|---|---|---|---|---|---|---|---|
| 8221 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1q_2$ | 1.0005 | 1.1724 | 0.8534 | [X:[1.5, 1.5], M:[0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | 4*t^2.25+2*t^3.+2*t^3.75+12*t^4.5+8*t^5.25+6*t^6.-t^3.75/y-t^5.25/y-(4*t^6.)/y-t^3.75*y-t^5.25*y-4*t^6.*y | detail | {a: 2049/2048, c: 2401/2048, X1: 3/2, X2: 3/2, M1: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
| 8218 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ | 1.0008 | 1.1735 | 0.8528 | [X:[1.5, 1.5], M:[0.7362], q:[0.2569, 0.2431], qb:[], phi:[0.25]] | 2*t^2.21+t^2.25+t^2.29+2*t^3.+t^3.71+t^3.75+3*t^4.42+2*t^4.46+5*t^4.5+t^4.54+t^4.58+4*t^5.21+2*t^5.25+2*t^5.29+2*t^5.92+2*t^5.96+2*t^6.-t^3.75/y-t^5.25/y-(2*t^5.96)/y-t^6./y-t^3.75*y-t^5.25*y-2*t^5.96*y-t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8183 | Sp2adj1nf1 | $\phi_1^2X_1$ | 1.1597 | 1.2847 | 0.9027 | [X:[1.6249], M:[], q:[0.4374, 0.4374], qb:[], phi:[0.1875]] | t^2.25+t^2.62+3*t^3.19+t^3.75+3*t^4.31+t^4.5+2*t^4.87+t^5.25+3*t^5.44+3*t^5.81-3*t^6.-t^3.56/y-t^4.69/y-t^5.81/y-t^3.56*y-t^4.69*y-t^5.81*y | detail |