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 |
|---|---|---|---|---|---|---|---|---|---|
| 45249 | SO5adj1nf2 | $M_1q_1q_2$ + $ \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]] | [X:[], M:[[3], [2], [2]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ q_2^2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_2q_2^2$, $ M_3q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ M_2q_1^2$, $ M_3q_1^2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^4$, $ M_1M_2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ \phi_1^4q_2$, $ \phi_1^2q_2^3$ | $\phi_1^3q_1q_2$ | -1 | 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^6.24 + 29*t^6.91 + 2*t^7.15 + 14*t^7.39 + t^7.63 + 5*t^7.87 + 19*t^8.07 - 5*t^8.3 + t^8.35 + 2*t^8.54 - 2*t^8.78 - t^4.15/y - t^5.3/y - t^5.54/y - (5*t^6.46)/y - t^6.93/y - (3*t^7.85)/y + (3*t^8.09)/y - t^8.33/y - (8*t^8.76)/y - t^4.15*y - t^5.3*y - t^5.54*y - 5*t^6.46*y - t^6.93*y - 3*t^7.85*y + 3*t^8.09*y - t^8.33*y - 8*t^8.76*y | 4*g1^2*t^2.3 + t^2.78/g1^8 + 2*g1^3*t^3.46 + 12*g1^4*t^4.61 + t^4.85/g1 + (5*t^5.09)/g1^6 + t^5.56/g1^16 + 7*g1^5*t^5.76 - t^6. + t^6.24/g1^5 + 29*g1^6*t^6.91 + 2*g1*t^7.15 + (14*t^7.39)/g1^4 + t^7.63/g1^9 + (5*t^7.87)/g1^14 + 19*g1^7*t^8.07 - 5*g1^2*t^8.3 + t^8.35/g1^24 + (2*t^8.54)/g1^3 - (2*t^8.78)/g1^8 - (g1*t^4.15)/y - (g1^2*t^5.3)/y - t^5.54/(g1^3*y) - (5*g1^3*t^6.46)/y - t^6.93/(g1^7*y) - (3*t^7.85)/(g1*y) + (3*t^8.09)/(g1^6*y) - t^8.33/(g1^11*y) - (8*g1^5*t^8.76)/y - g1*t^4.15*y - g1^2*t^5.3*y - (t^5.54*y)/g1^3 - 5*g1^3*t^6.46*y - (t^6.93*y)/g1^7 - (3*t^7.85*y)/g1 + (3*t^8.09*y)/g1^6 - (t^8.33*y)/g1^11 - 8*g1^5*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 45294 | $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4q_1^2$ | 1.8095 | 1.9498 | 0.928 | [X:[], M:[1.1263, 0.7509, 0.7509, 1.0036], q:[0.4982, 0.3754], qb:[], phi:[0.3754]] | 4*t^2.25 + t^3.01 + 2*t^3.38 + 12*t^4.51 + t^4.87 + t^5.24 + 4*t^5.26 + 7*t^5.63 - t^6. - t^4.13/y - t^5.25/y - t^5.62/y - t^4.13*y - t^5.25*y - t^5.62*y | detail | |
| 45343 | $M_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ q_1^4$ | 1.8094 | 1.9501 | 0.9279 | [X:[], M:[1.125, 0.75, 0.75], q:[0.5, 0.375], qb:[], phi:[0.375]] | 4*t^2.25 + t^3. + 2*t^3.38 + 12*t^4.5 + t^4.88 + 5*t^5.25 + 7*t^5.62 - 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: 14823/8192, c: 15975/8192, M1: 9/8, M2: 3/4, M3: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.16/y - t^5.31/y - t^5.53/y - t^4.16*y - t^5.31*y - t^5.53*y | detail | {a: 29077/16200, c: 15551/8100, M1: 52/45, M2: 104/135, q1: 62/135, q2: 52/135, phi1: 52/135} |