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 |
|---|---|---|---|---|---|---|---|---|---|
| 44947 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ | 1.8087 | 1.9438 | 0.9305 | [X:[], M:[0.7752], q:[0.4496, 0.3876], qb:[], phi:[0.3876]] | [X:[], M:[[2]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ M_1q_1q_2$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^3q_2$, $ q_1^4$, $ M_1\phi_1^2q_2$, $ \phi_1^4q_2$, $ \phi_1^2q_2^3$ | $M_1\phi_1^2q_1$, $ \phi_1^3q_1q_2$, $ 2\phi_1^2q_1q_2^2$ | 3 | 3*t^2.33 + t^2.51 + t^2.7 + t^3.49 + t^3.67 + 8*t^4.65 + 4*t^4.84 + 5*t^5.02 + t^5.21 + t^5.39 + 2*t^5.81 + 3*t^6. + t^6.19 + t^6.37 + 15*t^6.98 + 10*t^7.16 + 14*t^7.35 + 6*t^7.53 + 5*t^7.72 + t^7.91 + t^8.09 + 4*t^8.14 + 5*t^8.33 + t^8.51 + 3*t^8.7 + t^8.88 - t^4.16/y - t^5.33/y - t^5.51/y - (4*t^6.49)/y - t^6.67/y - t^6.86/y - t^7.65/y - t^7.84/y + t^8.02/y - (7*t^8.81)/y - t^4.16*y - t^5.33*y - t^5.51*y - 4*t^6.49*y - t^6.67*y - t^6.86*y - t^7.65*y - t^7.84*y + t^8.02*y - 7*t^8.81*y | 3*g1^2*t^2.33 + t^2.51/g1^3 + t^2.7/g1^8 + g1^3*t^3.49 + t^3.67/g1^2 + 8*g1^4*t^4.65 + (4*t^4.84)/g1 + (5*t^5.02)/g1^6 + t^5.21/g1^11 + t^5.39/g1^16 + 2*g1^5*t^5.81 + 3*t^6. + t^6.19/g1^5 + t^6.37/g1^10 + 15*g1^6*t^6.98 + 10*g1*t^7.16 + (14*t^7.35)/g1^4 + (6*t^7.53)/g1^9 + (5*t^7.72)/g1^14 + t^7.91/g1^19 + t^8.09/g1^24 + 4*g1^7*t^8.14 + 5*g1^2*t^8.33 + t^8.51/g1^3 + (3*t^8.7)/g1^8 + t^8.88/g1^13 - (g1*t^4.16)/y - (g1^2*t^5.33)/y - t^5.51/(g1^3*y) - (4*g1^3*t^6.49)/y - t^6.67/(g1^2*y) - t^6.86/(g1^7*y) - (g1^4*t^7.65)/y - t^7.84/(g1*y) + t^8.02/(g1^6*y) - (7*g1^5*t^8.81)/y - g1*t^4.16*y - g1^2*t^5.33*y - (t^5.51*y)/g1^3 - 4*g1^3*t^6.49*y - (t^6.67*y)/g1^2 - (t^6.86*y)/g1^7 - g1^4*t^7.65*y - (t^7.84*y)/g1 + (t^8.02*y)/g1^6 - 7*g1^5*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 45040 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ | 1.8266 | 1.9758 | 0.9245 | [X:[], M:[0.773, 0.773], q:[0.454, 0.3865], qb:[], phi:[0.3865]] | 4*t^2.32 + t^2.52 + t^2.72 + t^3.48 + 12*t^4.64 + 5*t^4.84 + 6*t^5.04 + t^5.25 + t^5.45 + 3*t^5.8 - 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 | |
| 45031 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ \phi_1^4q_2$ | 1.8015 | 1.939 | 0.9291 | [X:[], M:[0.8], q:[0.4, 0.4], qb:[], phi:[0.4]] | 5*t^2.4 + 2*t^3.6 + 19*t^4.8 + 7*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 3603/2000, c: 1939/1000, M1: 4/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| 45027 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ q_1^3q_2$ | 1.7836 | 1.9143 | 0.9317 | [X:[], M:[0.7273], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 3*t^2.18 + t^2.73 + 2*t^3.27 + t^3.82 + 8*t^4.36 + 4*t^4.91 + 7*t^5.45 + 4*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 3453/1936, c: 1853/968, M1: 8/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
| 45002 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ q_1^4$ | 1.8016 | 1.9344 | 0.9313 | [X:[], M:[0.75], q:[0.5, 0.375], qb:[], phi:[0.375]] | 3*t^2.25 + t^2.62 + t^3. + t^3.38 + t^3.75 + 8*t^4.5 + 4*t^4.88 + 5*t^5.25 + 3*t^5.62 + 4*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: 29517/16384, c: 31693/16384, M1: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 44920 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ | 1.8217 | 1.9527 | 0.9329 | [X:[], M:[0.7308], q:[0.4519, 0.4519], qb:[], phi:[0.3654]] | 2*t^2.19 + 3*t^2.71 + 2*t^3.55 + 4*t^4.38 + 9*t^4.9 + 6*t^5.42 + 4*t^5.74 - 3*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y | detail |