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 |
|---|---|---|---|---|---|---|---|---|---|
| 45011 | SO5adj1nf2 | $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ | 1.7949 | 1.9199 | 0.9349 | [X:[], M:[1.1556, 0.7704], q:[0.4593, 0.3852], qb:[], phi:[0.3852]] | [X:[], M:[[3], [2]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 | {a: 29077/16200, c: 15551/8100, M1: 52/45, M2: 104/135, q1: 62/135, q2: 52/135, phi1: 52/135} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ q_2^2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^4$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ \phi_1^2q_2^3$ | $M_2\phi_1^2q_1$, $ \phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$ | 2 | 3*t^2.31 + t^2.76 + 2*t^3.47 + t^3.69 + 8*t^4.62 + t^4.84 + 4*t^5.07 + t^5.51 + 5*t^5.78 + 2*t^6. + t^6.22 + t^6.44 + 17*t^6.93 + 3*t^7.16 + 10*t^7.38 + t^7.6 + 4*t^7.82 + 12*t^8.09 + t^8.27 + 4*t^8.31 + 2*t^8.53 + 2*t^8.76 + t^8.98 - t^4.16/y - t^5.31/y - t^5.53/y - (4*t^6.47)/y - t^6.91/y - (2*t^7.62)/y - (3*t^7.84)/y + (2*t^8.07)/y - t^8.29/y - (5*t^8.78)/y - t^4.16*y - t^5.31*y - t^5.53*y - 4*t^6.47*y - t^6.91*y - 2*t^7.62*y - 3*t^7.84*y + 2*t^8.07*y - t^8.29*y - 5*t^8.78*y | 3*g1^2*t^2.31 + t^2.76/g1^8 + 2*g1^3*t^3.47 + t^3.69/g1^2 + 8*g1^4*t^4.62 + t^4.84/g1 + (4*t^5.07)/g1^6 + t^5.51/g1^16 + 5*g1^5*t^5.78 + 2*t^6. + t^6.22/g1^5 + t^6.44/g1^10 + 17*g1^6*t^6.93 + 3*g1*t^7.16 + (10*t^7.38)/g1^4 + t^7.6/g1^9 + (4*t^7.82)/g1^14 + 12*g1^7*t^8.09 + t^8.27/g1^24 + 4*g1^2*t^8.31 + (2*t^8.53)/g1^3 + (2*t^8.76)/g1^8 + t^8.98/g1^13 - (g1*t^4.16)/y - (g1^2*t^5.31)/y - t^5.53/(g1^3*y) - (4*g1^3*t^6.47)/y - t^6.91/(g1^7*y) - (2*g1^4*t^7.62)/y - (3*t^7.84)/(g1*y) + (2*t^8.07)/(g1^6*y) - t^8.29/(g1^11*y) - (5*g1^5*t^8.78)/y - g1*t^4.16*y - g1^2*t^5.31*y - (t^5.53*y)/g1^3 - 4*g1^3*t^6.47*y - (t^6.91*y)/g1^7 - 2*g1^4*t^7.62*y - (3*t^7.84*y)/g1 + (2*t^8.07*y)/g1^6 - (t^8.29*y)/g1^11 - 5*g1^5*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 45249 | $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ | 1.8131 | 1.9525 | 0.9286 | [X:[], M:[1.1522, 0.7682, 0.7682], q:[0.4637, 0.3841], qb:[], phi:[0.3841]] | 4*t^2.3 + t^2.78 + 2*t^3.46 + 12*t^4.61 + t^4.85 + 5*t^5.09 + t^5.56 + 7*t^5.76 - t^6. - t^4.15/y - t^5.3/y - t^5.54/y - t^4.15*y - t^5.3*y - t^5.54*y | detail | |
| 45103 | $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ + $ q_1^4$ | 1.7904 | 1.9154 | 0.9347 | [X:[], M:[1.125, 0.75], q:[0.5, 0.375], qb:[], phi:[0.375]] | 3*t^2.25 + t^3. + 2*t^3.38 + t^3.75 + 8*t^4.5 + t^4.88 + 4*t^5.25 + 5*t^5.62 + 3*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 14667/8192, c: 15691/8192, M1: 9/8, M2: 3/4, q1: 1/2, q2: 3/8, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44950 | SO5adj1nf2 | $M_1q_1q_2$ + $ \phi_1^4q_1$ | 1.7768 | 1.8876 | 0.9413 | [X:[], M:[1.159], q:[0.4547, 0.3863], qb:[], phi:[0.3863]] | 2*t^2.32 + t^2.73 + 2*t^3.48 + 2*t^3.68 + 5*t^4.64 + t^4.84 + 3*t^5.05 + t^5.46 + 3*t^5.79 + 3*t^6. - t^4.16/y - t^5.32/y - t^5.52/y - t^4.16*y - t^5.32*y - t^5.52*y | detail |