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 |
|---|---|---|---|---|---|---|---|---|---|
| 44946 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ | 1.7685 | 1.881 | 0.9402 | [X:[], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | [X:[], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 3537/2000, c: 1881/1000, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1^2$, $ q_2^2$, $ q_1^2$, $ q_2^2$, $ M_1$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^2q_2^2$, $ q_2^4$, $ q_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_2^2$, $ q_2^4$ | $\phi_1^4q_1$, $ \phi_1^2q_1^3$, $ \phi_1^4q_2$, $ 2\phi_1^3q_1q_2$, $ \phi_1^2q_1^2q_2$, $ \phi_1q_1^3q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^2q_2^3$, $ \phi_1q_1q_2^3$ | 9 | 3*t^2.4 + 4*t^3.6 + 10*t^4.8 + 9*t^6. + 26*t^7.2 + 23*t^8.4 - t^4.2/y - (2*t^5.4)/y - (4*t^6.6)/y - (6*t^7.8)/y - t^4.2*y - 2*t^5.4*y - 4*t^6.6*y - 6*t^7.8*y | t^2.4 + t^2.4/g1^2 + g1^2*t^2.4 + 2*t^3.6 + t^3.6/g1 + g1*t^3.6 + 4*t^4.8 + t^4.8/g1^4 + (2*t^4.8)/g1^2 + 2*g1^2*t^4.8 + g1^4*t^4.8 + t^6. + t^6./g1^3 + t^6./g1^2 + (2*t^6.)/g1 + 2*g1*t^6. + g1^2*t^6. + g1^3*t^6. + 8*t^7.2 + t^7.2/g1^6 + (2*t^7.2)/g1^4 + (5*t^7.2)/g1^2 + t^7.2/g1 + g1*t^7.2 + 5*g1^2*t^7.2 + 2*g1^4*t^7.2 + g1^6*t^7.2 + 3*t^8.4 + t^8.4/g1^5 + t^8.4/g1^4 + (3*t^8.4)/g1^3 + (5*t^8.4)/g1 + 5*g1*t^8.4 + 3*g1^3*t^8.4 + g1^4*t^8.4 + g1^5*t^8.4 - t^4.2/y - t^5.4/(g1*y) - (g1*t^5.4)/y - (2*t^6.6)/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y - t^7.8/(g1^3*y) + t^7.8/(g1^2*y) - (3*t^7.8)/(g1*y) - (3*g1*t^7.8)/y + (g1^2*t^7.8)/y - (g1^3*t^7.8)/y - t^4.2*y - (t^5.4*y)/g1 - g1*t^5.4*y - 2*t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y - (t^7.8*y)/g1^3 + (t^7.8*y)/g1^2 - (3*t^7.8*y)/g1 - 3*g1*t^7.8*y + g1^2*t^7.8*y - g1^3*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 44987 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2q_1$ | 1.7852 | 1.9105 | 0.9344 | [X:[], M:[1.2, 0.7943], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | t^2.37 + t^2.38 + t^2.4 + t^2.43 + t^3.58 + 2*t^3.6 + t^4.73 + t^4.75 + 3*t^4.77 + t^4.78 + 4*t^4.8 + t^4.82 + 2*t^4.83 + t^4.87 + t^5.95 + 2*t^5.97 + 3*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y | detail | |
| 45098 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ | 1.752 | 1.852 | 0.946 | [X:[], M:[1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 2*t^2.4 + 5*t^3.6 + 7*t^4.8 + 7*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 219/125, c: 463/250, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44923 | SO5adj1nf2 | $M_1q_1q_2$ | 1.7938 | 1.9011 | 0.9435 | [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] | t^2.15 + 2*t^2.77 + t^3.23 + 2*t^3.54 + t^3.85 + 2*t^4.31 + 5*t^4.92 + t^5.38 + 3*t^5.54 + 2*t^5.69 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y | detail | {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39} |