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 |
---|---|---|---|---|---|---|---|---|---|
8753 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ | 1.1229 | 1.2316 | 0.9117 | [X:[1.6086], M:[1.2172, 1.1743, 1.0214, 0.9786], q:[0.3914, 0.4343], qb:[], phi:[0.1957]] | [X:[[2]], M:[[4], [-6], [5], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ \phi_1q_2^2$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$ | . | -1 | t^2.94 + t^3.06 + t^3.19 + t^3.52 + 2*t^3.65 + t^4.11 + t^4.24 + t^4.37 + t^4.83 - t^6. + t^6.13 + t^6.26 + t^6.39 + 2*t^6.59 + 2*t^6.72 + 2*t^6.84 + t^7.05 + 3*t^7.17 + 4*t^7.3 + 2*t^7.43 + t^7.56 + 2*t^7.76 + 2*t^7.89 + 2*t^8.02 + t^8.22 + 3*t^8.35 + 2*t^8.48 + t^8.61 + t^8.73 - t^8.94 + t^8.35/y^2 - t^3.59/y - t^4.76/y - t^6.52/y - t^6.65/y - t^6.78/y - t^7.11/y - t^7.24/y - t^7.7/y - t^7.83/y - t^7.95/y - t^8.28/y - t^8.41/y - t^3.59*y - t^4.76*y - t^6.52*y - t^6.65*y - t^6.78*y - t^7.11*y - t^7.24*y - t^7.7*y - t^7.83*y - t^7.95*y - t^8.28*y - t^8.41*y + t^8.35*y^2 | t^2.94/g1^5 + g1^5*t^3.06 + g1^15*t^3.19 + t^3.52/g1^6 + 2*g1^4*t^3.65 + t^4.11/g1^7 + g1^3*t^4.24 + g1^13*t^4.37 + g1^2*t^4.83 - t^6. + g1^10*t^6.13 + g1^20*t^6.26 + g1^30*t^6.39 + (2*t^6.59)/g1 + 2*g1^9*t^6.72 + 2*g1^19*t^6.84 + t^7.05/g1^12 + (3*t^7.17)/g1^2 + 4*g1^8*t^7.3 + 2*g1^18*t^7.43 + g1^28*t^7.56 + (2*t^7.76)/g1^3 + 2*g1^7*t^7.89 + 2*g1^17*t^8.02 + t^8.22/g1^14 + (3*t^8.35)/g1^4 + 2*g1^6*t^8.48 + g1^16*t^8.61 + g1^26*t^8.73 - t^8.94/g1^5 + t^8.35/(g1^4*y^2) - t^3.59/(g1*y) - t^4.76/(g1^3*y) - t^6.52/(g1^6*y) - (g1^4*t^6.65)/y - (g1^14*t^6.78)/y - t^7.11/(g1^7*y) - (g1^3*t^7.24)/y - t^7.7/(g1^8*y) - (g1^2*t^7.83)/y - (g1^12*t^7.95)/y - t^8.28/(g1^9*y) - (g1*t^8.41)/y - (t^3.59*y)/g1 - (t^4.76*y)/g1^3 - (t^6.52*y)/g1^6 - g1^4*t^6.65*y - g1^14*t^6.78*y - (t^7.11*y)/g1^7 - g1^3*t^7.24*y - (t^7.7*y)/g1^8 - g1^2*t^7.83*y - g1^12*t^7.95*y - (t^8.28*y)/g1^9 - g1*t^8.41*y + (t^8.35*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
8874 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ + $ M_3M_5$ | 1.1253 | 1.2344 | 0.9117 | [X:[1.6123], M:[1.2246, 1.1632, 1.0307, 0.9693, 0.9693], q:[0.3877, 0.4491], qb:[], phi:[0.1939]] | 2*t^2.91 + t^3.28 + t^3.49 + 2*t^3.67 + t^4.07 + t^4.26 + t^4.44 + t^4.84 + 2*t^5.82 - 2*t^6. - t^3.58/y - t^4.74/y - t^3.58*y - t^4.74*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 |
---|---|---|---|---|---|---|---|---|---|
8578 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ | 1.153 | 1.2606 | 0.9146 | [X:[1.6579], M:[1.3159, 1.0262, 0.8173, 0.8552], q:[0.5058, 0.468], qb:[], phi:[0.171]] | t^2.45 + t^2.57 + t^3.08 + t^3.32 + 2*t^3.95 + t^4.35 + t^4.46 + t^4.57 + t^4.9 + t^4.97 + t^5.02 + t^5.13 + t^5.53 + t^5.64 + t^5.77 - 2*t^6. - t^3.51/y - t^4.54/y - t^5.97/y - t^3.51*y - t^4.54*y - t^5.97*y | detail |