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 |
---|---|---|---|---|---|---|---|---|---|
46109 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5338 | 0.6682 | 0.7988 | [X:[], M:[0.8489, 1.1511, 0.9711], q:[1.0289, 0.5466], qb:[0.3022, 0.4244], phi:[0.4244]] | [X:[], M:[[2], [-2], [7]], q:[[-7], [6]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | $M_1M_2$ | -1 | t^2.18 + 2*t^2.55 + 2*t^2.91 + t^3.45 + t^3.82 + t^3.99 + 2*t^4.36 + 3*t^4.73 + 4*t^5.09 + 3*t^5.46 + 3*t^5.83 - t^6. + t^6.17 + t^6.37 + 2*t^6.54 + t^6.73 + 3*t^6.91 + 5*t^7.27 + 6*t^7.64 - t^7.81 + t^7.99 + 5*t^8.01 - 4*t^8.18 + 2*t^8.35 + 4*t^8.37 - 4*t^8.55 + 3*t^8.72 + 4*t^8.74 - 5*t^8.91 - t^4.27/y - t^6.82/y - t^7.19/y + t^7.36/y + (3*t^7.73)/y + (3*t^8.09)/y + (4*t^8.46)/y + t^8.63/y + t^8.83/y - t^4.27*y - t^6.82*y - t^7.19*y + t^7.36*y + 3*t^7.73*y + 3*t^8.09*y + 4*t^8.46*y + t^8.63*y + t^8.83*y | t^2.18/g1^3 + 2*g1^2*t^2.55 + 2*g1^7*t^2.91 + t^3.45/g1^2 + g1^3*t^3.82 + t^3.99/g1^11 + (2*t^4.36)/g1^6 + (3*t^4.73)/g1 + 4*g1^4*t^5.09 + 3*g1^9*t^5.46 + 3*g1^14*t^5.83 - t^6. + t^6.17/g1^14 + g1^5*t^6.37 + (2*t^6.54)/g1^9 + g1^10*t^6.73 + (3*t^6.91)/g1^4 + 5*g1*t^7.27 + 6*g1^6*t^7.64 - t^7.81/g1^8 + t^7.99/g1^22 + 5*g1^11*t^8.01 - (4*t^8.18)/g1^3 + (2*t^8.35)/g1^17 + 4*g1^16*t^8.37 - 4*g1^2*t^8.55 + (3*t^8.72)/g1^12 + 4*g1^21*t^8.74 - 5*g1^7*t^8.91 - (g1*t^4.27)/y - (g1^3*t^6.82)/y - (g1^8*t^7.19)/y + t^7.36/(g1^6*y) + (3*t^7.73)/(g1*y) + (3*g1^4*t^8.09)/y + (4*g1^9*t^8.46)/y + t^8.63/(g1^5*y) + (g1^14*t^8.83)/y - g1*t^4.27*y - g1^3*t^6.82*y - g1^8*t^7.19*y + (t^7.36*y)/g1^6 + (3*t^7.73*y)/g1 + 3*g1^4*t^8.09*y + 4*g1^9*t^8.46*y + (t^8.63*y)/g1^5 + g1^14*t^8.83*y |
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 |
---|---|---|---|---|---|---|---|---|
46363 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.5207 | 0.6457 | 0.8064 | [X:[], M:[0.852, 1.148, 0.9821, 1.148], q:[1.0179, 0.5561], qb:[0.2959, 0.426], phi:[0.426]] | t^2.17 + t^2.56 + 2*t^2.95 + 2*t^3.44 + t^3.83 + t^3.94 + 2*t^4.33 + 2*t^4.72 + 2*t^5.11 + t^5.5 + t^5.61 + 3*t^5.89 - t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
46028 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 - t^4.29/y - t^4.29*y | detail |