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 |
---|---|---|---|---|---|---|---|---|---|
8215 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ | 1.1302 | 1.2274 | 0.9208 | [X:[1.635], M:[1.27, 1.095], q:[0.4525, 0.4525], qb:[], phi:[0.1825]] | [X:[[0, 2]], M:[[0, 4], [0, -6]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$ | . | -4 | 3*t^3.26 + t^3.29 + 2*t^3.81 + 3*t^4.36 + t^4.9 - 4*t^6. + 6*t^6.52 + t^6.57 + 6*t^7.07 - t^7.1 + 11*t^7.62 + 6*t^8.17 + 2*t^8.19 + 6*t^8.71 + t^8.74 + t^8.19/y^2 - t^3.55/y - t^4.64/y - (3*t^6.81)/y - t^6.83/y - t^7.36/y - (3*t^7.9)/y - t^7.93/y - t^8.45/y - t^3.55*y - t^4.64*y - 3*t^6.81*y - t^6.83*y - t^7.36*y - 3*t^7.9*y - t^7.93*y - t^8.45*y + t^8.19*y^2 | (g1^2*t^3.26)/g2 + g2^5*t^3.26 + (g2^11*t^3.26)/g1^2 + t^3.29/g2^6 + 2*g2^4*t^3.81 + (g1^2*t^4.36)/g2^3 + g2^3*t^4.36 + (g2^9*t^4.36)/g1^2 + g2^2*t^4.9 - 2*t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (g1^4*t^6.52)/g2^2 + g1^2*g2^4*t^6.52 + 2*g2^10*t^6.52 + (g2^16*t^6.52)/g1^2 + (g2^22*t^6.52)/g1^4 + t^6.57/g2^12 + 2*g1^2*g2^3*t^7.07 + 2*g2^9*t^7.07 + (2*g2^15*t^7.07)/g1^2 - (g1^2*t^7.1)/g2^8 + t^7.1/g2^2 - (g2^4*t^7.1)/g1^2 + (g1^4*t^7.62)/g2^4 + 2*g1^2*g2^2*t^7.62 + 5*g2^8*t^7.62 + (2*g2^14*t^7.62)/g1^2 + (g2^20*t^7.62)/g1^4 + 2*g1^2*g2*t^8.17 + 2*g2^7*t^8.17 + (2*g2^13*t^8.17)/g1^2 + (2*t^8.19)/g2^4 + g1^2*t^8.71 + (g1^4*t^8.71)/g2^6 + 2*g2^6*t^8.71 + (g2^12*t^8.71)/g1^2 + (g2^18*t^8.71)/g1^4 + t^8.74/g2^5 + t^8.19/(g2^4*y^2) - t^3.55/(g2*y) - t^4.64/(g2^3*y) - (g1^2*t^6.81)/(g2^2*y) - (g2^4*t^6.81)/y - (g2^10*t^6.81)/(g1^2*y) - t^6.83/(g2^7*y) - (g2^3*t^7.36)/y - (g1^2*t^7.9)/(g2^4*y) - (g2^2*t^7.9)/y - (g2^8*t^7.9)/(g1^2*y) - t^7.93/(g2^9*y) - (g2*t^8.45)/y - (t^3.55*y)/g2 - (t^4.64*y)/g2^3 - (g1^2*t^6.81*y)/g2^2 - g2^4*t^6.81*y - (g2^10*t^6.81*y)/g1^2 - (t^6.83*y)/g2^7 - g2^3*t^7.36*y - (g1^2*t^7.9*y)/g2^4 - g2^2*t^7.9*y - (g2^8*t^7.9*y)/g1^2 - (t^7.93*y)/g2^9 - g2*t^8.45*y + (t^8.19*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
8421 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ | 1.1397 | 1.2387 | 0.9201 | [X:[1.648], M:[1.296, 1.056, 0.88], q:[0.472, 0.472], qb:[], phi:[0.176]] | t^2.64 + t^3.17 + 2*t^3.36 + 2*t^3.89 + 3*t^4.42 + t^4.94 + t^5.28 + t^5.81 - 2*t^6. - t^3.53/y - t^4.58/y - t^3.53*y - t^4.58*y | detail | |
8419 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1413 | 1.2432 | 0.9181 | [X:[1.6469], M:[1.2937, 1.0594, 0.8422], q:[0.4906, 0.4499], qb:[], phi:[0.1766]] | t^2.53 + t^3.18 + t^3.23 + t^3.35 + 2*t^3.88 + t^4.29 + t^4.41 + t^4.53 + t^4.94 + t^5.05 + t^5.7 + t^5.76 - 2*t^6. - t^3.53/y - t^4.59/y - t^3.53*y - t^4.59*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 |
---|---|---|---|---|---|---|---|---|---|
8188 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1408 | 1.2531 | 0.9104 | [X:[1.6203], M:[1.2406], q:[0.4305, 0.4305], qb:[], phi:[0.1898]] | t^2.58 + 3*t^3.15 + 2*t^3.72 + 3*t^4.29 + t^4.86 + t^5.17 + 3*t^5.74 - 4*t^6. - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*y | detail |