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 |
---|---|---|---|---|---|---|---|---|---|
46638 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ | 0.6485 | 0.8133 | 0.7973 | [X:[], M:[0.8791, 1.2198, 0.7802, 0.6813], q:[0.6813, 0.4396], qb:[0.3407, 0.7802], phi:[0.4396]] | [X:[], M:[[-4], [-1], [1], [6]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.04 + t^2.34 + 2*t^2.64 + t^3.07 + 2*t^3.36 + 2*t^3.66 + t^4.09 + 3*t^4.38 + 4*t^4.68 + t^4.98 + t^5.11 + 2*t^5.27 + 4*t^5.41 + 5*t^5.7 + 2*t^6. + 2*t^6.13 + 5*t^6.43 - t^6.59 + 7*t^6.73 + 4*t^7.02 + t^7.15 + 2*t^7.32 + 6*t^7.45 - t^7.62 + 9*t^7.75 + 3*t^7.91 + 6*t^8.04 + 2*t^8.18 - 2*t^8.34 + 7*t^8.47 - 4*t^8.64 + 12*t^8.77 - 2*t^8.93 - t^4.32/y - t^6.36/y - (2*t^6.96)/y + t^7.38/y + (4*t^7.68)/y + (2*t^7.98)/y + t^8.11/y + (2*t^8.27)/y + (2*t^8.41)/y + (6*t^8.7)/y - t^4.32*y - t^6.36*y - 2*t^6.96*y + t^7.38*y + 4*t^7.68*y + 2*t^7.98*y + t^8.11*y + 2*t^8.27*y + 2*t^8.41*y + 6*t^8.7*y | g1^6*t^2.04 + g1*t^2.34 + (2*t^2.64)/g1^4 + g1^9*t^3.07 + 2*g1^4*t^3.36 + (2*t^3.66)/g1 + g1^12*t^4.09 + 3*g1^7*t^4.38 + 4*g1^2*t^4.68 + t^4.98/g1^3 + g1^15*t^5.11 + (2*t^5.27)/g1^8 + 4*g1^10*t^5.41 + 5*g1^5*t^5.7 + 2*t^6. + 2*g1^18*t^6.13 + 5*g1^13*t^6.43 - t^6.59/g1^10 + 7*g1^8*t^6.73 + 4*g1^3*t^7.02 + g1^21*t^7.15 + (2*t^7.32)/g1^2 + 6*g1^16*t^7.45 - t^7.62/g1^7 + 9*g1^11*t^7.75 + (3*t^7.91)/g1^12 + 6*g1^6*t^8.04 + 2*g1^24*t^8.18 - 2*g1*t^8.34 + 7*g1^19*t^8.47 - (4*t^8.64)/g1^4 + 12*g1^14*t^8.77 - (2*t^8.93)/g1^9 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - (2*t^6.96)/(g1^6*y) + (g1^7*t^7.38)/y + (4*g1^2*t^7.68)/y + (2*t^7.98)/(g1^3*y) + (g1^15*t^8.11)/y + (2*t^8.27)/(g1^8*y) + (2*g1^10*t^8.41)/y + (6*g1^5*t^8.7)/y - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (2*t^6.96*y)/g1^6 + g1^7*t^7.38*y + 4*g1^2*t^7.68*y + (2*t^7.98*y)/g1^3 + g1^15*t^8.11*y + (2*t^8.27*y)/g1^8 + 2*g1^10*t^8.41*y + 6*g1^5*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
47290 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ | 0.6661 | 0.8451 | 0.7882 | [X:[], M:[0.8812, 1.2203, 0.7797, 0.6782, 0.7797], q:[0.6782, 0.4406], qb:[0.3391, 0.7797], phi:[0.4406]] | t^2.03 + 2*t^2.34 + 2*t^2.64 + t^3.05 + 2*t^3.36 + t^3.66 + t^4.07 + 4*t^4.37 + 6*t^4.68 + 3*t^4.98 + t^5.09 + 2*t^5.29 + 5*t^5.39 + 6*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*y | detail | |
46951 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6598 | 0.8306 | 0.7944 | [X:[], M:[0.8664, 1.2166, 0.7834, 0.7003, 0.8664], q:[0.7003, 0.4332], qb:[0.3502, 0.7834], phi:[0.4332]] | t^2.1 + t^2.35 + 3*t^2.6 + t^3.15 + t^3.4 + 2*t^3.65 + t^4.2 + 3*t^4.45 + 5*t^4.7 + 2*t^4.95 + 5*t^5.2 + t^5.25 + 3*t^5.5 + 5*t^5.75 + t^6. - t^4.3/y - t^4.3*y | detail | |
47108 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6539 | 0.8186 | 0.7988 | [X:[], M:[0.8471, 1.2118, 0.7882, 0.7294, 0.9059], q:[0.7294, 0.4235], qb:[0.3647, 0.7882], phi:[0.4235]] | t^2.19 + t^2.36 + 2*t^2.54 + t^2.72 + 2*t^3.46 + 2*t^3.64 + t^4.38 + 3*t^4.55 + 4*t^4.73 + 2*t^4.91 + 3*t^5.08 + 2*t^5.26 + t^5.44 + 3*t^5.65 + 3*t^5.82 + 2*t^6. - t^4.27/y - t^4.27*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 |
---|---|---|---|---|---|---|---|---|---|
46123 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.6277 | 0.7724 | 0.8127 | [X:[], M:[0.8767, 1.2192, 0.7808], q:[0.6849, 0.4384], qb:[0.3425, 0.7808], phi:[0.4384]] | t^2.34 + 2*t^2.63 + t^3.08 + 2*t^3.37 + 2*t^3.66 + t^3.95 + 2*t^4.4 + 2*t^4.68 + t^4.97 + 2*t^5.26 + 2*t^5.42 + 3*t^5.71 + 2*t^6. - t^4.32/y - t^4.32*y | detail |