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 |
|---|---|---|---|---|---|---|---|---|---|
| 45094 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ | 1.386 | 1.4235 | 0.9737 | [X:[1.6], M:[0.8], q:[0.8, 0.6], qb:[], phi:[0.2]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 693/500, c: 2847/2000, X1: 8/5, M1: 4/5, q1: 4/5, q2: 3/5, phi1: 1/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ \phi_1^2q_2$, $ q_2^2$, $ q_1q_2$, $ M_1^2$, $ \phi_1^8$, $ q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_2^2$, $ X_1$, $ \phi_1^6q_2$, $ \phi_1^2q_1q_2$ | $\phi_1^3q_1q_2$, $ 2\phi_1^4q_2^2$ | 2 | 2*t^2.4 + t^3. + t^3.6 + t^4.2 + 6*t^4.8 + t^5.4 + 2*t^6. + 9*t^7.2 + 5*t^7.8 + 6*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^5.4/y - (3*t^6.)/y - t^6.6/y - (2*t^7.2)/y - t^7.8/y - (5*t^8.4)/y - t^3.6*y - t^4.8*y - t^5.4*y - 3*t^6.*y - t^6.6*y - 2*t^7.2*y - t^7.8*y - 5*t^8.4*y + t^8.4*y^2 | 2*t^2.4 + t^3. + t^3.6 + t^4.2 + 6*t^4.8 + t^5.4 + 2*t^6. + 9*t^7.2 + 5*t^7.8 + 6*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^5.4/y - (3*t^6.)/y - t^6.6/y - (2*t^7.2)/y - t^7.8/y - (5*t^8.4)/y - t^3.6*y - t^4.8*y - t^5.4*y - 3*t^6.*y - t^6.6*y - 2*t^7.2*y - t^7.8*y - 5*t^8.4*y + t^8.4*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45177 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ | 1.3695 | 1.3945 | 0.9821 | [X:[1.6], M:[0.8, 1.2], q:[0.8, 0.6], qb:[], phi:[0.2]] | t^2.4 + t^3. + 2*t^3.6 + t^4.2 + 4*t^4.8 + 2*t^6. - t^3.6/y - t^4.8/y - t^5.4/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - t^5.4*y - 2*t^6.*y | detail | {a: 2739/2000, c: 2789/2000, X1: 8/5, M1: 4/5, M2: 6/5, q1: 4/5, q2: 3/5, phi1: 1/5} |
| 45209 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ + $ M_2q_2^2$ | 1.4025 | 1.4525 | 0.9656 | [X:[1.6], M:[0.8, 0.8], q:[0.8, 0.6], qb:[], phi:[0.2]] | 3*t^2.4 + t^3. + t^4.2 + 9*t^4.8 + 2*t^5.4 - t^3.6/y - t^4.8/y - t^5.4/y - (4*t^6.)/y - t^3.6*y - t^4.8*y - t^5.4*y - 4*t^6.*y | detail | {a: 561/400, c: 581/400, X1: 8/5, M1: 4/5, M2: 4/5, q1: 4/5, q2: 3/5, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44962 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ | 1.7827 | 1.8963 | 0.9401 | [X:[], M:[0.8949], q:[0.4203, 0.5525], qb:[], phi:[0.3424]] | t^2.05 + t^2.52 + t^2.68 + t^2.92 + t^3.32 + t^3.71 + t^3.95 + 2*t^4.11 + 2*t^4.58 + t^4.74 + 2*t^4.97 + t^5.04 + t^5.21 + 3*t^5.37 + t^5.44 + t^5.77 + 2*t^5.84 + t^6. - t^4.03/y - t^5.29/y - t^5.68/y - t^4.03*y - t^5.29*y - t^5.68*y | detail |