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 |
|---|---|---|---|---|---|---|---|---|---|
| 45413 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ q_1q_2^3$ + $ M_4q_1q_2$ | 1.7655 | 1.8857 | 0.9363 | [X:[1.3846], M:[0.7692, 0.7692, 0.7692, 0.9231], q:[0.6154, 0.4615], qb:[], phi:[0.3077]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 62061/35152, c: 33143/17576, X1: 18/13, M1: 10/13, M2: 10/13, M3: 10/13, M4: 12/13, q1: 8/13, q2: 6/13, phi1: 4/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ M_2q_2^2$, $ M_3q_2^2$, $ M_4^2$, $ \phi_1^2q_1^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_4q_2^2$, $ q_2^4$ | $M_4\phi_1^2q_2$, $ \phi_1^3q_1q_2$, $ \phi_1^2q_2^3$ | 0 | 3*t^2.31 + 2*t^2.77 + t^3.23 + 2*t^4.15 + 7*t^4.62 + 7*t^5.08 + 6*t^5.54 + 4*t^6.46 + 16*t^6.92 + 17*t^7.38 + 17*t^7.85 + 4*t^8.31 + 5*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - (3*t^6.23)/y - (2*t^6.69)/y - t^7.15/y - (2*t^8.08)/y - (6*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - 3*t^6.23*y - 2*t^6.69*y - t^7.15*y - 2*t^8.08*y - 6*t^8.54*y | 3*t^2.31 + 2*t^2.77 + t^3.23 + 2*t^4.15 + 7*t^4.62 + 7*t^5.08 + 6*t^5.54 + 4*t^6.46 + 16*t^6.92 + 17*t^7.38 + 17*t^7.85 + 4*t^8.31 + 5*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - (3*t^6.23)/y - (2*t^6.69)/y - t^7.15/y - (2*t^8.08)/y - (6*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - 3*t^6.23*y - 2*t^6.69*y - t^7.15*y - 2*t^8.08*y - 6*t^8.54*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 |
|---|---|---|---|---|---|---|---|---|
| 45561 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ q_1q_2^3$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ | 1.7726 | 1.8976 | 0.9341 | [X:[1.3846], M:[0.7692, 0.7692, 0.7692, 0.9231, 0.9231], q:[0.6154, 0.4615], qb:[], phi:[0.3077]] | 3*t^2.31 + 3*t^2.77 + 2*t^4.15 + 7*t^4.62 + 10*t^5.08 + 6*t^5.54 - 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 31155/17576, c: 4169/2197, X1: 18/13, M1: 10/13, M2: 10/13, M3: 10/13, M4: 12/13, M5: 12/13, q1: 8/13, q2: 6/13, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45377 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ q_1q_2^3$ | 1.7584 | 1.8738 | 0.9384 | [X:[1.3846], M:[0.7692, 0.7692, 0.7692], q:[0.6154, 0.4615], qb:[], phi:[0.3077]] | 3*t^2.31 + t^2.77 + 2*t^3.23 + 2*t^4.15 + 7*t^4.62 + 4*t^5.08 + 7*t^5.54 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 15453/8788, c: 16467/8788, X1: 18/13, M1: 10/13, M2: 10/13, M3: 10/13, q1: 8/13, q2: 6/13, phi1: 4/13} |