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 |
|---|---|---|---|---|---|---|---|---|---|
| 45231 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ | 1.6334 | 1.7137 | 0.9531 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 2241/1372, c: 9405/5488, X1: 10/7, M1: 6/7, M2: 6/7, q1: 3/7, q2: 5/7, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1^2$, $ \phi_1q_1q_2$, $ q_2^2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1^2$, $ M_2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1\phi_1^2q_1$, $ M_2\phi_1^2q_1$ | $\phi_1^4q_1^2$, $ \phi_1^3q_1q_2$ | 0 | 3*t^2.57 + t^3. + t^3.86 + 4*t^4.29 + 6*t^5.14 + 2*t^5.57 + 2*t^6.43 + 10*t^6.86 + 4*t^7.29 + 8*t^7.71 + 6*t^8.14 + 7*t^8.57 - t^3.86/y - t^5.14/y - t^5.57/y - t^6./y - (3*t^6.43)/y - t^6.86/y - (3*t^7.71)/y - (3*t^8.14)/y + t^8.57/y - t^3.86*y - t^5.14*y - t^5.57*y - t^6.*y - 3*t^6.43*y - t^6.86*y - 3*t^7.71*y - 3*t^8.14*y + t^8.57*y | 3*t^2.57 + t^3. + t^3.86 + 4*t^4.29 + 6*t^5.14 + 2*t^5.57 + 2*t^6.43 + 10*t^6.86 + 4*t^7.29 + 8*t^7.71 + 6*t^8.14 + 7*t^8.57 - t^3.86/y - t^5.14/y - t^5.57/y - t^6./y - (3*t^6.43)/y - t^6.86/y - (3*t^7.71)/y - (3*t^8.14)/y + t^8.57/y - t^3.86*y - t^5.14*y - t^5.57*y - t^6.*y - 3*t^6.43*y - t^6.86*y - 3*t^7.71*y - 3*t^8.14*y + t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 45390 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3\phi_1^2q_2$ | 1.6536 | 1.7518 | 0.9439 | [X:[1.4286], M:[0.8571, 0.8571, 0.7143], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | t^2.14 + 3*t^2.57 + t^3. + 5*t^4.29 + 3*t^4.71 + 7*t^5.14 + 2*t^5.57 - t^3.86/y - t^5.14/y - t^5.57/y - (2*t^6.)/y - t^3.86*y - t^5.14*y - t^5.57*y - 2*t^6.*y | detail | {a: 9075/5488, c: 4807/2744, X1: 10/7, M1: 6/7, M2: 6/7, M3: 5/7, q1: 3/7, q2: 5/7, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45091 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.6208 | 1.6922 | 0.9578 | [X:[1.4286], M:[0.8571], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | 2*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 3*t^5.14 + t^5.57 + 2*t^6. - t^3.86/y - t^5.14/y - t^5.57/y - t^6./y - t^3.86*y - t^5.14*y - t^5.57*y - t^6.*y | detail | {a: 8895/5488, c: 9287/5488, X1: 10/7, M1: 6/7, q1: 3/7, q2: 5/7, phi1: 2/7} |