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 |
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1135 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6818 | 0.8582 | 0.7944 | [X:[], M:[0.9502, 1.0922, 1.1347, 0.8653, 0.6808, 0.7233], q:[0.7731, 0.5461], qb:[0.5037, 0.3616], phi:[0.4539]] | [X:[], M:[[13], [-4], [5], [-5], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_6\phi_1^2$, $ M_1M_6$, $ M_4^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_6\phi_1\tilde{q}_2^2$ | $M_5q_1q_2$ | 0 | t^2.04 + t^2.17 + t^2.6 + t^2.72 + t^2.85 + t^3.28 + t^3.4 + t^3.53 + t^3.96 + 2*t^4.08 + t^4.21 + t^4.34 + t^4.38 + t^4.51 + 2*t^4.64 + 2*t^4.77 + 2*t^4.89 + t^5.02 + t^5.19 + 2*t^5.32 + 3*t^5.45 + 2*t^5.57 + 2*t^5.7 + 4*t^6.13 + 4*t^6.25 + 2*t^6.38 + t^6.51 + t^6.55 + 3*t^6.68 + 4*t^6.81 + 4*t^6.94 + t^6.98 + 3*t^7.06 + t^7.11 + t^7.19 + t^7.23 + 3*t^7.36 + 5*t^7.49 + 5*t^7.62 + 3*t^7.74 + 2*t^7.87 + t^8.04 + 4*t^8.17 + 6*t^8.3 + 5*t^8.42 - t^8.47 + 3*t^8.55 - 2*t^8.6 + t^8.68 + 2*t^8.72 + t^8.77 + 3*t^8.85 + t^8.89 + 7*t^8.98 - t^4.36/y - t^6.4/y - t^6.53/y + t^7.51/y + t^7.64/y + (2*t^7.77)/y + (2*t^7.89)/y + t^8.02/y + t^8.19/y + (3*t^8.32)/y + (2*t^8.45)/y + (2*t^8.57)/y + t^8.87/y - t^4.36*y - t^6.4*y - t^6.53*y + t^7.51*y + t^7.64*y + 2*t^7.77*y + 2*t^7.89*y + t^8.02*y + t^8.19*y + 3*t^8.32*y + 2*t^8.45*y + 2*t^8.57*y + t^8.87*y | g1^3*t^2.04 + g1^12*t^2.17 + t^2.6/g1^5 + g1^4*t^2.72 + g1^13*t^2.85 + t^3.28/g1^4 + g1^5*t^3.4 + g1^14*t^3.53 + t^3.96/g1^3 + 2*g1^6*t^4.08 + g1^15*t^4.21 + g1^24*t^4.34 + t^4.38/g1^20 + t^4.51/g1^11 + (2*t^4.64)/g1^2 + 2*g1^7*t^4.77 + 2*g1^16*t^4.89 + g1^25*t^5.02 + t^5.19/g1^10 + (2*t^5.32)/g1 + 3*g1^8*t^5.45 + 2*g1^17*t^5.57 + 2*g1^26*t^5.7 + 4*g1^9*t^6.13 + 4*g1^18*t^6.25 + 2*g1^27*t^6.38 + g1^36*t^6.51 + t^6.55/g1^8 + 3*g1*t^6.68 + 4*g1^10*t^6.81 + 4*g1^19*t^6.94 + t^6.98/g1^25 + 3*g1^28*t^7.06 + t^7.11/g1^16 + g1^37*t^7.19 + t^7.23/g1^7 + 3*g1^2*t^7.36 + 5*g1^11*t^7.49 + 5*g1^20*t^7.62 + 3*g1^29*t^7.74 + 2*g1^38*t^7.87 + g1^3*t^8.04 + 4*g1^12*t^8.17 + 6*g1^21*t^8.3 + 5*g1^30*t^8.42 - t^8.47/g1^14 + 3*g1^39*t^8.55 - (2*t^8.6)/g1^5 + g1^48*t^8.68 + 2*g1^4*t^8.72 + t^8.77/g1^40 + 3*g1^13*t^8.85 + t^8.89/g1^31 + 7*g1^22*t^8.98 - (g1^2*t^4.36)/y - (g1^5*t^6.4)/y - (g1^14*t^6.53)/y + t^7.51/(g1^11*y) + t^7.64/(g1^2*y) + (2*g1^7*t^7.77)/y + (2*g1^16*t^7.89)/y + (g1^25*t^8.02)/y + t^8.19/(g1^10*y) + (3*t^8.32)/(g1*y) + (2*g1^8*t^8.45)/y + (2*g1^17*t^8.57)/y + t^8.87/(g1^9*y) - g1^2*t^4.36*y - g1^5*t^6.4*y - g1^14*t^6.53*y + (t^7.51*y)/g1^11 + (t^7.64*y)/g1^2 + 2*g1^7*t^7.77*y + 2*g1^16*t^7.89*y + g1^25*t^8.02*y + (t^8.19*y)/g1^10 + (3*t^8.32*y)/g1 + 2*g1^8*t^8.45*y + 2*g1^17*t^8.57*y + (t^8.87*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
2173 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6939 | 0.8782 | 0.7902 | [X:[], M:[0.9634, 1.0882, 1.1398, 0.8602, 0.6839, 0.7355, 0.8602], q:[0.772, 0.5441], qb:[0.4925, 0.3677], phi:[0.4559]] | t^2.05 + t^2.21 + 2*t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.57 + t^3.95 + 2*t^4.1 + t^4.26 + t^4.32 + t^4.41 + t^4.48 + 3*t^4.63 + 3*t^4.79 + 2*t^4.94 + t^5.1 + 3*t^5.16 + 3*t^5.32 + 3*t^5.47 + t^5.63 + 2*t^5.78 + t^5.85 - t^6. - t^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
700 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |