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 |
|---|---|---|---|---|---|---|---|---|---|
| 45032 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ | 1.6678 | 1.7694 | 0.9426 | [X:[1.3495], M:[0.9757, 0.6748], q:[0.6748, 0.3495], qb:[], phi:[0.3252]] | [X:[[2]], M:[[-3], [1]], q:[[1], [2]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^4$, $ M_2^2$, $ q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_2^2$, $ X_1$, $ M_2q_2^2$, $ q_2^4$, $ M_1M_2$, $ M_2\phi_1^2q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^3$, $ M_1^2$, $ M_2\phi_1^4$ | $\phi_1^3q_1q_2$, $ 2\phi_1^4q_2^2$ | 1 | t^2.02 + t^2.1 + t^2.93 + t^3. + t^3.9 + 5*t^4.05 + t^4.12 + t^4.19 + t^4.95 + 2*t^5.02 + t^5.1 + t^5.85 + t^5.93 + t^6. + 5*t^6.07 + 5*t^6.15 + t^6.22 + t^6.29 + t^6.83 + 2*t^6.98 + 6*t^7.05 + 2*t^7.12 + t^7.19 + t^7.81 + t^7.88 + 3*t^7.95 + 14*t^8.1 + 5*t^8.17 + 5*t^8.24 + t^8.32 + t^8.39 + t^8.78 + t^8.85 - t^3.98/y - t^5.02/y - t^5.93/y - (2*t^6.)/y - t^6.07/y - t^6.9/y - t^6.98/y - t^7.05/y - t^7.88/y - (4*t^8.02)/y - t^8.1/y - t^8.17/y - t^8.85/y - t^3.98*y - t^5.02*y - t^5.93*y - 2*t^6.*y - t^6.07*y - t^6.9*y - t^6.98*y - t^7.05*y - t^7.88*y - 4*t^8.02*y - t^8.1*y - t^8.17*y - t^8.85*y | g1*t^2.02 + g1^4*t^2.1 + t^2.93/g1^3 + t^3. + t^3.9/g1^4 + 5*g1^2*t^4.05 + g1^5*t^4.12 + g1^8*t^4.19 + t^4.95/g1^2 + 2*g1*t^5.02 + g1^4*t^5.1 + t^5.85/g1^6 + t^5.93/g1^3 + t^6. + 5*g1^3*t^6.07 + 5*g1^6*t^6.15 + g1^9*t^6.22 + g1^12*t^6.29 + t^6.83/g1^7 + (2*t^6.98)/g1 + 6*g1^2*t^7.05 + 2*g1^5*t^7.12 + g1^8*t^7.19 + t^7.81/g1^8 + t^7.88/g1^5 + (3*t^7.95)/g1^2 + 14*g1^4*t^8.1 + 5*g1^7*t^8.17 + 5*g1^10*t^8.24 + g1^13*t^8.32 + g1^16*t^8.39 + t^8.78/g1^9 + t^8.85/g1^6 - t^3.98/(g1*y) - (g1*t^5.02)/y - t^5.93/(g1^3*y) - (2*t^6.)/y - (g1^3*t^6.07)/y - t^6.9/(g1^4*y) - t^6.98/(g1*y) - (g1^2*t^7.05)/y - t^7.88/(g1^5*y) - (4*g1*t^8.02)/y - (g1^4*t^8.1)/y - (g1^7*t^8.17)/y - t^8.85/(g1^6*y) - (t^3.98*y)/g1 - g1*t^5.02*y - (t^5.93*y)/g1^3 - 2*t^6.*y - g1^3*t^6.07*y - (t^6.9*y)/g1^4 - (t^6.98*y)/g1 - g1^2*t^7.05*y - (t^7.88*y)/g1^5 - 4*g1*t^8.02*y - g1^4*t^8.1*y - g1^7*t^8.17*y - (t^8.85*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45181 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ + $ \phi_1^2q_2^3$ | 1.5718 | 1.6499 | 0.9526 | [X:[1.5], M:[0.75, 0.75], q:[0.75, 0.5], qb:[], phi:[0.25]] | 2*t^2.25 + 3*t^3. + 7*t^4.5 + 5*t^5.25 + 4*t^6. - t^3.75/y - (2*t^5.25)/y - (3*t^6.)/y - t^3.75*y - 2*t^5.25*y - 3*t^6.*y | detail | {a: 3219/2048, c: 3379/2048, X1: 3/2, M1: 3/4, M2: 3/4, q1: 3/4, q2: 1/2, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44966 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ | 1.8092 | 1.9284 | 0.9382 | [X:[], M:[1.0801, 0.8129], q:[0.467, 0.4529], qb:[], phi:[0.36]] | t^2.16 + t^2.44 + t^2.72 + t^2.8 + t^3.24 + t^3.52 + t^3.84 + 2*t^4.32 + t^4.6 + 3*t^4.88 + t^4.92 + 2*t^4.96 + t^5.16 + t^5.24 + t^5.4 + t^5.44 + t^5.52 + t^5.6 + 2*t^5.68 + t^5.96 - t^4.08/y - t^5.44/y - t^5.48/y - t^4.08*y - t^5.44*y - t^5.48*y | detail |