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 |
---|---|---|---|---|---|---|---|---|---|
45069 | SO5adj1nf2 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2\phi_1^4$ | 1.1452 | 1.1579 | 0.989 | [X:[1.5593], M:[1.2204, 1.1185], q:[1.0, 0.3389], qb:[], phi:[0.2204]] | [X:[[2]], M:[[-1], [4]], q:[[0], [3]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2^2$, $ M_2$, $ \phi_1^2q_2^2$, $ M_1$, $ q_2^4$, $ X_1$, $ M_2q_2^2$, $ \phi_1^2q_2^4$, $ M_1q_2^2$ | . | -1 | t^2.03 + 2*t^3.36 + t^3.66 + t^4.07 + t^4.68 + 2*t^5.39 + t^5.69 - t^6. + t^6.1 - t^6.31 + 4*t^6.71 + 2*t^7.02 + t^7.32 + 2*t^7.42 + t^7.73 + t^8.13 + t^8.34 + t^8.64 - 2*t^8.69 + 4*t^8.74 + t^8.34/y^2 + t^8.64/y^2 - t^8.69/y^2 - t^3.66/y - t^4.68/y - t^4.98/y - t^5.69/y - t^6.71/y - (2*t^7.02)/y - t^7.73/y - (2*t^8.03)/y - (2*t^8.34)/y + (2*t^8.39)/y + t^8.69/y - t^8.74/y - t^3.66*y - t^4.68*y - t^4.98*y - t^5.69*y - t^6.71*y - 2*t^7.02*y - t^7.73*y - 2*t^8.03*y - 2*t^8.34*y + 2*t^8.39*y + t^8.69*y - t^8.74*y + t^8.34*y^2 + t^8.64*y^2 - t^8.69*y^2 | g1^6*t^2.03 + 2*g1^4*t^3.36 + t^3.66/g1 + g1^12*t^4.07 + g1^2*t^4.68 + 2*g1^10*t^5.39 + g1^5*t^5.69 - t^6. + g1^18*t^6.1 - t^6.31/g1^5 + 4*g1^8*t^6.71 + 2*g1^3*t^7.02 + t^7.32/g1^2 + 2*g1^16*t^7.42 + g1^11*t^7.73 + g1^24*t^8.13 + g1*t^8.34 + t^8.64/g1^4 - 2*g1^5*t^8.69 + 4*g1^14*t^8.74 + (g1*t^8.34)/y^2 + t^8.64/(g1^4*y^2) - (g1^5*t^8.69)/y^2 - t^3.66/(g1*y) - (g1^2*t^4.68)/y - t^4.98/(g1^3*y) - (g1^5*t^5.69)/y - (g1^8*t^6.71)/y - (2*g1^3*t^7.02)/y - (g1^11*t^7.73)/y - (2*g1^6*t^8.03)/y - (2*g1*t^8.34)/y + (2*g1^10*t^8.39)/y + (g1^5*t^8.69)/y - (g1^14*t^8.74)/y - (t^3.66*y)/g1 - g1^2*t^4.68*y - (t^4.98*y)/g1^3 - g1^5*t^5.69*y - g1^8*t^6.71*y - 2*g1^3*t^7.02*y - g1^11*t^7.73*y - 2*g1^6*t^8.03*y - 2*g1*t^8.34*y + 2*g1^10*t^8.39*y + g1^5*t^8.69*y - g1^14*t^8.74*y + g1*t^8.34*y^2 + (t^8.64*y^2)/g1^4 - g1^5*t^8.69*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
45203 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2\phi_1^4$ + $ M_1q_2^2$ | 1.134 | 1.134 | 1 | [X:[1.6], M:[1.2, 1.2], q:[1.0, 0.4], qb:[], phi:[0.2]] | t^2.4 + 3*t^3.6 + 2*t^4.8 + t^6. - t^3.6/y - (2*t^4.8)/y - t^6./y - t^3.6*y - 2*t^4.8*y - t^6.*y | detail | {a: 567/500, c: 567/500, X1: 8/5, M1: 6/5, M2: 6/5, q1: 1, q2: 2/5, phi1: 1/5} |
45191 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2\phi_1^4$ + $ M_3q_2^2$ | 1.1244 | 1.1167 | 1.0069 | [X:[1.5613], M:[1.2194, 1.1226, 1.3162], q:[1.0, 0.3419], qb:[], phi:[0.2194]] | 2*t^3.37 + t^3.66 + t^3.95 + t^4.68 - t^6. - t^3.66/y - t^4.68/y - t^4.97/y - t^3.66*y - t^4.68*y - t^4.97*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
8288 | SO5adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^4$ | 1.1452 | 1.1579 | 0.989 | [X:[1.5593], M:[1.2204, 1.1185], q:[0.3389], qb:[], phi:[0.2204]] | t^2.03 + 2*t^3.36 + t^3.66 + t^4.07 + t^4.68 + 2*t^5.39 + t^5.69 - t^6. - t^3.66/y - t^4.68/y - t^4.98/y - t^5.69/y - t^3.66*y - t^4.68*y - t^4.98*y - t^5.69*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
44975 | SO5adj1nf2 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ | 1.1567 | 1.1748 | 0.9846 | [X:[1.5704], M:[1.2148], q:[1.0, 0.3557], qb:[], phi:[0.2148]] | t^2.13 + t^2.58 + t^3.42 + t^3.64 + t^4.27 + 2*t^4.71 + t^5.15 + t^5.56 + t^5.78 - t^3.64/y - t^4.71/y - t^4.93/y - t^5.78/y - t^3.64*y - t^4.71*y - t^4.93*y - t^5.78*y | detail |