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 |
---|---|---|---|---|---|---|---|---|---|
44926 | SO5adj1nf2 | $\phi_1^4q_1$ | 1.7908 | 1.9123 | 0.9365 | [X:[], M:[], q:[0.445, 0.3887], qb:[], phi:[0.3887]] | [X:[], M:[], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ q_2^4$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^3q_2$, $ q_1^4$, $ \phi_1^2q_2^3$ | $2\phi_1^3q_1q_2$, $ 2\phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ | 4 | 2*t^2.33 + t^2.5 + t^2.67 + t^3.5 + 2*t^3.67 + 5*t^4.66 + 3*t^4.83 + 4*t^5. + t^5.17 + t^5.34 + t^5.83 + 4*t^6. + 2*t^6.17 + 2*t^6.34 + 7*t^7. + 7*t^7.17 + 11*t^7.34 + 5*t^7.5 + 4*t^7.67 + t^7.84 + t^8.01 + 2*t^8.16 + 7*t^8.33 + 3*t^8.5 + 6*t^8.67 + 2*t^8.84 - t^4.17/y - t^5.33/y - t^5.5/y - (3*t^6.5)/y - t^6.67/y - t^6.84/y - (2*t^7.66)/y - (2*t^7.83)/y - (4*t^8.83)/y - t^4.17*y - t^5.33*y - t^5.5*y - 3*t^6.5*y - t^6.67*y - t^6.84*y - 2*t^7.66*y - 2*t^7.83*y - 4*t^8.83*y | 2*g1^2*t^2.33 + t^2.5/g1^3 + t^2.67/g1^8 + g1^3*t^3.5 + (2*t^3.67)/g1^2 + 5*g1^4*t^4.66 + (3*t^4.83)/g1 + (4*t^5.)/g1^6 + t^5.17/g1^11 + t^5.34/g1^16 + g1^5*t^5.83 + 4*t^6. + (2*t^6.17)/g1^5 + (2*t^6.34)/g1^10 + 7*g1^6*t^7. + 7*g1*t^7.17 + (11*t^7.34)/g1^4 + (5*t^7.5)/g1^9 + (4*t^7.67)/g1^14 + t^7.84/g1^19 + t^8.01/g1^24 + 2*g1^7*t^8.16 + 7*g1^2*t^8.33 + (3*t^8.5)/g1^3 + (6*t^8.67)/g1^8 + (2*t^8.84)/g1^13 - (g1*t^4.17)/y - (g1^2*t^5.33)/y - t^5.5/(g1^3*y) - (3*g1^3*t^6.5)/y - t^6.67/(g1^2*y) - t^6.84/(g1^7*y) - (2*g1^4*t^7.66)/y - (2*t^7.83)/(g1*y) - (4*g1^5*t^8.83)/y - g1*t^4.17*y - g1^2*t^5.33*y - (t^5.5*y)/g1^3 - 3*g1^3*t^6.5*y - (t^6.67*y)/g1^2 - (t^6.84*y)/g1^7 - 2*g1^4*t^7.66*y - (2*t^7.83*y)/g1 - 4*g1^5*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
44944 | $\phi_1^4q_1$ + $ M_1q_1^2$ | 1.7837 | 1.8999 | 0.9389 | [X:[], M:[1.0431], q:[0.4784, 0.3804], qb:[], phi:[0.3804]] | 2*t^2.28 + t^2.58 + t^3.13 + t^3.42 + 2*t^3.72 + 5*t^4.56 + 3*t^4.86 + 2*t^5.15 + 2*t^5.41 + 2*t^5.71 + 4*t^6. - t^4.14/y - t^5.28/y - t^5.58/y - t^4.14*y - t^5.28*y - t^5.58*y | detail | |
44930 | $\phi_1^4q_1$ + $ \phi_1^2q_2^3$ | 1.785 | 1.91 | 0.9346 | [X:[], M:[], q:[0.4, 0.4], qb:[], phi:[0.4]] | 4*t^2.4 + 3*t^3.6 + 14*t^4.8 + 9*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 357/200, c: 191/100, q1: 2/5, q2: 2/5, phi1: 2/5} |
44955 | $\phi_1^4q_1$ + $ q_1^3q_2$ | 1.7637 | 1.8773 | 0.9395 | [X:[], M:[], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 2*t^2.18 + t^2.73 + 2*t^3.27 + 2*t^3.82 + 5*t^4.36 + 3*t^4.91 + 5*t^5.45 + 5*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: 4695/2662, c: 9995/5324, q1: 6/11, q2: 4/11, phi1: 4/11} |
44959 | $\phi_1^4q_1$ + $ q_1^4$ | 1.7825 | 1.8997 | 0.9383 | [X:[], M:[], q:[0.5, 0.375], qb:[], phi:[0.375]] | 2*t^2.25 + t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 5*t^4.5 + 3*t^4.88 + 4*t^5.25 + 2*t^5.62 + 5*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: 29205/16384, c: 31125/16384, 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
44917 | SO5adj1nf2 | . | 1.802 | 1.9168 | 0.9401 | [X:[], M:[], q:[0.4488, 0.4488], qb:[], phi:[0.3674]] | t^2.2 + 3*t^2.69 + 2*t^3.55 + t^3.8 + 2*t^4.41 + 6*t^4.9 + 6*t^5.39 + 2*t^5.76 - 2*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y | detail |