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 |
|---|---|---|---|---|---|---|---|---|---|
| 8491 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_2\phi_1^3q_1^2$ | 0.7976 | 0.8095 | 0.9853 | [X:[1.8095, 1.619], M:[0.9524, 0.7619], q:[0.4762, 0.9524], qb:[], phi:[0.0952]] | [X:[[4], [8]], M:[[-20], [-16]], q:[[11], [1]], qb:[], phi:[[-2]]] | 1 | {a: 67/84, c: 17/21, X1: 38/21, X2: 34/21, M1: 20/21, M2: 16/21, q1: 10/21, q2: 20/21, phi1: 2/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_1q_2$, $ M_2^2$, $ X_2$, $ M_1M_2$, $ M_1^2$ | . | -1 | t^2.29 + t^2.86 + t^4.29 + t^4.57 + t^4.86 + t^5.14 + t^5.71 - t^6. + t^6.57 + t^6.86 + 3*t^7.14 + t^7.43 + t^7.71 + 2*t^8. - t^8.29 + t^7.14/y^2 - t^8.57/y^2 - t^3.29/y - t^3.86/y - t^5.57/y - (2*t^6.14)/y - t^6.71/y + t^7./y - t^7.86/y - (2*t^8.43)/y - t^3.29*y - t^3.86*y - t^5.57*y - 2*t^6.14*y - t^6.71*y + t^7.*y - t^7.86*y - 2*t^8.43*y + t^7.14*y^2 - t^8.57*y^2 | t^2.29/g1^16 + t^2.86/g1^20 + g1^12*t^4.29 + t^4.57/g1^32 + g1^8*t^4.86 + t^5.14/g1^36 + t^5.71/g1^40 - t^6. + t^6.57/g1^4 + t^6.86/g1^48 + (3*t^7.14)/g1^8 + t^7.43/g1^52 + t^7.71/g1^12 + t^8./g1^56 + t^8./g1^14 - t^8.29/g1^16 + t^8.57/g1^60 - t^8.57/g1^18 + t^7.14/(g1^8*y^2) - t^8.57/(g1^18*y^2) - t^3.29/(g1^2*y) - t^3.86/(g1^6*y) - t^5.57/(g1^18*y) - (2*t^6.14)/(g1^22*y) - t^6.71/(g1^26*y) + (g1^14*t^7.)/y - t^7.86/(g1^34*y) + t^8.14/(g1^36*y) - (g1^6*t^8.14)/y - (2*t^8.43)/(g1^38*y) - (t^3.29*y)/g1^2 - (t^3.86*y)/g1^6 - (t^5.57*y)/g1^18 - (2*t^6.14*y)/g1^22 - (t^6.71*y)/g1^26 + g1^14*t^7.*y - (t^7.86*y)/g1^34 + (t^8.14*y)/g1^36 - g1^6*t^8.14*y - (2*t^8.43*y)/g1^38 + (t^7.14*y^2)/g1^8 - (t^8.57*y^2)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8670 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_2\phi_1^3q_1^2$ + $ M_1M_2$ | 0.7816 | 0.7955 | 0.9825 | [X:[1.7778, 1.5556], M:[1.1111, 0.8889], q:[0.3889, 0.9444], qb:[], phi:[0.1111]] | t^2.67 + t^3.33 + t^4. + t^4.67 + t^5.33 - t^3.33/y - t^4./y - t^6./y - t^3.33*y - t^4.*y - t^6.*y | detail | {a: 1013/1296, c: 1031/1296, X1: 16/9, X2: 14/9, M1: 10/9, M2: 8/9, q1: 7/18, q2: 17/18, phi1: 1/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8226 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ | 0.7797 | 0.7789 | 1.0011 | [X:[1.8027, 1.6054], M:[0.9866], q:[0.4574, 0.9507], qb:[], phi:[0.0987]] | t^2.96 + t^3.63 + t^4.22 + t^4.82 + t^5.92 - t^6. - t^3.3/y - t^3.89/y - t^3.3*y - t^3.89*y | detail |