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 |
---|---|---|---|---|---|---|---|---|---|
8203 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ | 1.1219 | 1.2307 | 0.9116 | [X:[1.6518], M:[1.0447], q:[0.5647, 0.3906], qb:[], phi:[0.1741]] | [X:[[4]], M:[[-12]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^4$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1\phi_1^4$, $ \phi_1^2q_2^4$ | $M_1\phi_1q_2^2$, $ \phi_1^7q_2^2$ | 1 | t^2.09 + t^2.87 + t^3.13 + t^3.39 + 3*t^3.91 + t^4.18 + t^4.43 + 3*t^4.96 + t^5.22 + t^5.73 + t^6. + t^6.25 + 2*t^6.27 - t^6.52 + 4*t^6.78 + 3*t^7.04 + 4*t^7.3 + t^7.31 - t^7.57 + 8*t^7.82 + 3*t^8.09 + 4*t^8.34 + 2*t^8.36 + t^8.6 - 2*t^8.61 + 4*t^8.87 + t^8.09/y^2 - t^8.61/y^2 - t^3.52/y - t^4.57/y - t^5.61/y - t^6.39/y - (2*t^6.66)/y - t^6.91/y - (2*t^7.43)/y - (2*t^7.7)/y + t^8.22/y - t^8.48/y - (2*t^8.75)/y - t^3.52*y - t^4.57*y - t^5.61*y - t^6.39*y - 2*t^6.66*y - t^6.91*y - 2*t^7.43*y - 2*t^7.7*y + t^8.22*y - t^8.48*y - 2*t^8.75*y + t^8.09*y^2 - t^8.61*y^2 | t^2.09/g1^8 + g1^12*t^2.87 + t^3.13/g1^12 + g1^10*t^3.39 + 3*g1^8*t^3.91 + t^4.18/g1^16 + g1^6*t^4.43 + 3*g1^4*t^4.96 + t^5.22/g1^20 + g1^24*t^5.73 + t^6. + g1^22*t^6.25 + (2*t^6.27)/g1^24 - t^6.52/g1^2 + 4*g1^20*t^6.78 + (3*t^7.04)/g1^4 + 4*g1^18*t^7.3 + t^7.31/g1^28 - t^7.57/g1^6 + 8*g1^16*t^7.82 + (3*t^8.09)/g1^8 + 4*g1^14*t^8.34 + (2*t^8.36)/g1^32 + g1^36*t^8.6 - (2*t^8.61)/g1^10 + 4*g1^12*t^8.87 + t^8.09/(g1^8*y^2) - t^8.61/(g1^10*y^2) - t^3.52/(g1^2*y) - t^4.57/(g1^6*y) - t^5.61/(g1^10*y) - (g1^10*t^6.39)/y - (2*t^6.66)/(g1^14*y) - (g1^8*t^6.91)/y - (2*g1^6*t^7.43)/y - (2*t^7.7)/(g1^18*y) + t^8.22/(g1^20*y) - (g1^2*t^8.48)/y - (2*t^8.75)/(g1^22*y) - (t^3.52*y)/g1^2 - (t^4.57*y)/g1^6 - (t^5.61*y)/g1^10 - g1^10*t^6.39*y - (2*t^6.66*y)/g1^14 - g1^8*t^6.91*y - 2*g1^6*t^7.43*y - (2*t^7.7*y)/g1^18 + (t^8.22*y)/g1^20 - g1^2*t^8.48*y - (2*t^8.75*y)/g1^22 + (t^8.09*y^2)/g1^8 - (t^8.61*y^2)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
8382 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1344 | 1.2498 | 0.9077 | [X:[1.6615], M:[1.0154, 0.8462], q:[0.5769, 0.4077], qb:[], phi:[0.1692]] | t^2.03 + t^2.54 + t^2.95 + t^3.05 + 3*t^3.97 + t^4.06 + t^4.48 + t^4.57 + 3*t^4.98 + 2*t^5.08 + t^5.58 + t^5.91 + t^6. - t^3.51/y - t^4.52/y - t^5.54/y - t^3.51*y - t^4.52*y - t^5.54*y | detail | |
8384 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1425 | 1.27 | 0.8996 | [X:[1.6533], M:[1.0401, 0.6934], q:[0.5666, 0.3933], qb:[], phi:[0.1734]] | 2*t^2.08 + t^2.88 + t^3.12 + t^3.4 + 2*t^3.92 + 3*t^4.16 + t^4.44 + 4*t^4.96 + 2*t^5.2 + t^5.48 + t^5.76 + 2*t^6. - t^3.52/y - t^4.56/y - (2*t^5.6)/y - t^3.52*y - t^4.56*y - 2*t^5.6*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
8185 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ | 1.128 | 1.2465 | 0.9049 | [X:[1.6379], M:[], q:[0.5474, 0.3663], qb:[], phi:[0.1811]] | t^2.17 + 2*t^2.74 + t^3.28 + 3*t^3.83 + t^4.35 + t^4.37 + 4*t^4.91 + 3*t^5.48 - t^3.54/y - t^4.63/y - t^5.72/y - t^3.54*y - t^4.63*y - t^5.72*y | detail |