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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[[2]], M:[[-1]], q:[[0], [3]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2^2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ M_1$, $ q_2^4$, $ \phi_1^4q_2^2$, $ X_1$, $ \phi_1^8$, $ \phi_1^2q_2^4$, $ M_1q_2^2$ | $\phi_1^6q_2^2$ | 0 | 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^6.4 + 3*t^6.85 + t^7.07 + 3*t^7.29 + t^7.69 + t^7.73 + t^7.91 + 2*t^8.36 + t^8.54 + t^8.58 - 2*t^8.78 + 3*t^8.98 + t^8.36/y^2 + t^8.58/y^2 - t^8.78/y^2 - t^3.64/y - t^4.71/y - t^4.93/y - t^5.78/y - t^6.22/y - t^6.85/y - t^7.07/y - t^7.29/y - t^7.51/y + t^7.71/y - t^7.91/y - t^8.13/y - (2*t^8.36)/y + t^8.56/y + t^8.78/y - t^8.8/y - t^8.98/y - t^3.64*y - t^4.71*y - t^4.93*y - t^5.78*y - t^6.22*y - t^6.85*y - t^7.07*y - t^7.29*y - t^7.51*y + t^7.71*y - t^7.91*y - t^8.13*y - 2*t^8.36*y + t^8.56*y + t^8.78*y - t^8.8*y - t^8.98*y + t^8.36*y^2 + t^8.58*y^2 - t^8.78*y^2 | g1^6*t^2.13 + t^2.58/g1^4 + g1^4*t^3.42 + t^3.64/g1 + g1^12*t^4.27 + 2*g1^2*t^4.71 + t^5.15/g1^8 + g1^10*t^5.56 + g1^5*t^5.78 + g1^18*t^6.4 + 3*g1^8*t^6.85 + g1^3*t^7.07 + (3*t^7.29)/g1^2 + g1^16*t^7.69 + t^7.73/g1^12 + g1^11*t^7.91 + 2*g1*t^8.36 + g1^24*t^8.54 + t^8.58/g1^4 - 2*g1^5*t^8.78 + 3*g1^14*t^8.98 + (g1*t^8.36)/y^2 + t^8.58/(g1^4*y^2) - (g1^5*t^8.78)/y^2 - t^3.64/(g1*y) - (g1^2*t^4.71)/y - t^4.93/(g1^3*y) - (g1^5*t^5.78)/y - t^6.22/(g1^5*y) - (g1^8*t^6.85)/y - (g1^3*t^7.07)/y - t^7.29/(g1^2*y) - t^7.51/(g1^7*y) + (g1^2*t^7.71)/y - (g1^11*t^7.91)/y - (g1^6*t^8.13)/y - (2*g1*t^8.36)/y + (g1^10*t^8.56)/y + (g1^5*t^8.78)/y - t^8.8/(g1^9*y) - (g1^14*t^8.98)/y - (t^3.64*y)/g1 - g1^2*t^4.71*y - (t^4.93*y)/g1^3 - g1^5*t^5.78*y - (t^6.22*y)/g1^5 - g1^8*t^6.85*y - g1^3*t^7.07*y - (t^7.29*y)/g1^2 - (t^7.51*y)/g1^7 + g1^2*t^7.71*y - g1^11*t^7.91*y - g1^6*t^8.13*y - 2*g1*t^8.36*y + g1^10*t^8.56*y + g1^5*t^8.78*y - (t^8.8*y)/g1^9 - g1^14*t^8.98*y + g1*t^8.36*y^2 + (t^8.58*y^2)/g1^4 - g1^5*t^8.78*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 |
---|---|---|---|---|---|---|---|---|
45079 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2\phi_1^2q_2^2$ | 1.1699 | 1.1961 | 0.9781 | [X:[1.5805], M:[1.2098, 0.8391], q:[1.0, 0.3707], qb:[], phi:[0.2098]] | t^2.22 + 2*t^2.52 + t^3.63 + t^4.45 + 3*t^4.74 + 3*t^5.03 + t^5.85 - t^6. - t^3.63/y - t^4.74/y - t^4.89/y - t^5.85/y - t^3.63*y - t^4.74*y - t^4.89*y - t^5.85*y | detail | |
45069 | $q_1^2$ + $ \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]] | 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 | |
45004 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ | 1.1367 | 1.1367 | 1 | [X:[1.5774], M:[1.2113, 1.2679], q:[1.0, 0.366], qb:[], phi:[0.2113]] | t^2.54 + t^3.46 + t^3.63 + t^3.8 + t^4.73 + t^5.07 - t^3.63/y - t^4.73/y - t^4.9/y - t^3.63*y - t^4.73*y - t^4.9*y | detail | |
45038 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ \phi_1^8$ + $ q_2^2X_2$ | 1.1074 | 1.1074 | 1 | [X:[1.5, 1.5], M:[1.25], q:[1.0, 0.25], qb:[], phi:[0.25]] | 2*t^3. + t^3.75 + 2*t^4.5 + 2*t^6. - t^3.75/y - t^4.5/y - t^5.25/y - t^3.75*y - t^4.5*y - t^5.25*y | detail | {a: 567/512, c: 567/512, X1: 3/2, X2: 3/2, M1: 5/4, q1: 1, q2: 1/4, phi1: 1/4} |
45039 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2^2$ + $ M_2q_2^2$ | 1.1679 | 1.1917 | 0.98 | [X:[1.5877], M:[0.8246, 1.2369], q:[1.0, 0.3815], qb:[], phi:[0.2062]] | t^2.38 + 2*t^2.47 + t^3.71 + 2*t^4.76 + 2*t^4.86 + 3*t^4.95 - t^6. - t^3.62/y - t^4.76/y - t^4.86/y - t^6./y - t^3.62*y - t^4.76*y - t^4.86*y - t^6.*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 |
---|---|---|---|---|---|---|---|---|---|
8280 | SO5adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ | 1.1567 | 1.1748 | 0.9846 | [X:[1.5704], M:[1.2148], q:[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 |
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 |
---|---|---|---|---|---|---|---|---|---|
44924 | SO5adj1nf2 | $q_1^2$ + $ \phi_1^2X_1$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[1.0, 0.3528], qb:[], phi:[0.2157]] | t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y | detail |