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 |
|---|---|---|---|---|---|---|---|---|---|
| 45308 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ + $ M_1M_2$ + $ M_3\phi_1^2$ | 1.7743 | 1.8681 | 0.9498 | [X:[], M:[0.8571, 1.1429, 1.2857], q:[0.5, 0.4286], qb:[], phi:[0.3571]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 22257/12544, c: 23433/12544, M1: 6/7, M2: 8/7, M3: 9/7, q1: 1/2, q2: 3/7, phi1: 5/14} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1q_2$, $ q_1^2$, $ M_2$, $ \phi_1^2q_1$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ M_1q_1^2$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 1 | t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 2*t^5.57 + t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 2*t^6.86 + t^7.07 + 4*t^7.29 + 4*t^7.5 + 7*t^7.71 + 3*t^7.93 + 5*t^8.14 + t^8.36 + 4*t^8.57 + 2*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^6.21/y - t^6.64/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.71/y - (2*t^7.93)/y - (2*t^8.14)/y - (2*t^8.36)/y + t^8.57/y - t^4.07*y - t^5.36*y - t^5.57*y - t^6.21*y - t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.71*y - 2*t^7.93*y - 2*t^8.14*y - 2*t^8.36*y + t^8.57*y | t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 2*t^5.57 + t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 2*t^6.86 + t^7.07 + 4*t^7.29 + 4*t^7.5 + 7*t^7.71 + 3*t^7.93 + 5*t^8.14 + t^8.36 + 4*t^8.57 + 2*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^6.21/y - t^6.64/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.71/y - (2*t^7.93)/y - (2*t^8.14)/y - (2*t^8.36)/y + t^8.57/y - t^4.07*y - t^5.36*y - t^5.57*y - t^6.21*y - t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.71*y - 2*t^7.93*y - 2*t^8.14*y - 2*t^8.36*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 |
|---|---|---|---|---|---|---|---|---|
| 45493 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ + $ M_1M_2$ + $ M_3\phi_1^2$ + $ M_1M_4$ | 1.7617 | 1.8466 | 0.9541 | [X:[], M:[0.8571, 1.1429, 1.2857, 1.1429], q:[0.5, 0.4286], qb:[], phi:[0.3571]] | t^2.79 + t^3. + 2*t^3.43 + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + t^5.14 + t^5.57 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 154695/87808, c: 162143/87808, M1: 6/7, M2: 8/7, M3: 9/7, M4: 8/7, q1: 1/2, q2: 3/7, phi1: 5/14} |
| 45461 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ + $ M_1M_2$ + $ M_3\phi_1^2$ + $ M_2M_4$ | 1.7869 | 1.8896 | 0.9457 | [X:[], M:[0.8571, 1.1429, 1.2857, 0.8571], q:[0.5, 0.4286], qb:[], phi:[0.3571]] | 2*t^2.57 + t^2.79 + t^3. + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + 4*t^5.14 + 2*t^5.36 + 3*t^5.57 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 156903/87808, c: 165919/87808, M1: 6/7, M2: 8/7, M3: 9/7, M4: 6/7, q1: 1/2, q2: 3/7, phi1: 5/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45184 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ + $ M_1M_2$ | 1.7945 | 1.9061 | 0.9414 | [X:[], M:[0.8571, 1.1429], q:[0.5, 0.4286], qb:[], phi:[0.3571]] | t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.64 + t^3.86 + 2*t^4.29 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + t^5.36 + 3*t^5.57 + t^5.79 + 2*t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 157575/87808, c: 167375/87808, M1: 6/7, M2: 8/7, q1: 1/2, q2: 3/7, phi1: 5/14} |