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 |
---|---|---|---|---|---|---|---|---|---|
46951 | 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$ + $ 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]] | [X:[], M:[[-4], [-1], [1], [6], [-4]], 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$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \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_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_5q_1\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | 1 | 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. + 2*t^6.25 + 2*t^6.3 - t^6.5 + 4*t^6.55 + 6*t^6.8 + 5*t^7.05 + 7*t^7.3 + t^7.35 + t^7.55 + 5*t^7.6 + 8*t^7.8 + 7*t^7.85 + 5*t^8.1 + 2*t^8.35 + 2*t^8.4 - 5*t^8.6 + 6*t^8.65 + 10*t^8.9 - t^4.3/y - t^6.4/y - (3*t^6.9)/y + t^7.45/y + (6*t^7.7)/y + (3*t^7.95)/y + (4*t^8.2)/y + t^8.25/y + t^8.5/y + (6*t^8.75)/y - t^4.3*y - t^6.4*y - 3*t^6.9*y + t^7.45*y + 6*t^7.7*y + 3*t^7.95*y + 4*t^8.2*y + t^8.25*y + t^8.5*y + 6*t^8.75*y | g1^6*t^2.1 + g1*t^2.35 + (3*t^2.6)/g1^4 + g1^9*t^3.15 + g1^4*t^3.4 + (2*t^3.65)/g1 + g1^12*t^4.2 + 3*g1^7*t^4.45 + 5*g1^2*t^4.7 + (2*t^4.95)/g1^3 + (5*t^5.2)/g1^8 + g1^15*t^5.25 + 3*g1^10*t^5.5 + 5*g1^5*t^5.75 + t^6. + (2*t^6.25)/g1^5 + 2*g1^18*t^6.3 - t^6.5/g1^10 + 4*g1^13*t^6.55 + 6*g1^8*t^6.8 + 5*g1^3*t^7.05 + (7*t^7.3)/g1^2 + g1^21*t^7.35 + t^7.55/g1^7 + 5*g1^16*t^7.6 + (8*t^7.8)/g1^12 + 7*g1^11*t^7.85 + 5*g1^6*t^8.1 + 2*g1*t^8.35 + 2*g1^24*t^8.4 - (5*t^8.6)/g1^4 + 6*g1^19*t^8.65 + 10*g1^14*t^8.9 - t^4.3/(g1^2*y) - (g1^4*t^6.4)/y - (3*t^6.9)/(g1^6*y) + (g1^7*t^7.45)/y + (6*g1^2*t^7.7)/y + (3*t^7.95)/(g1^3*y) + (4*t^8.2)/(g1^8*y) + (g1^15*t^8.25)/y + (g1^10*t^8.5)/y + (6*g1^5*t^8.75)/y - (t^4.3*y)/g1^2 - g1^4*t^6.4*y - (3*t^6.9*y)/g1^6 + g1^7*t^7.45*y + 6*g1^2*t^7.7*y + (3*t^7.95*y)/g1^3 + (4*t^8.2*y)/g1^8 + g1^15*t^8.25*y + g1^10*t^8.5*y + 6*g1^5*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
55412 | $M_1q_1q_2$ + $ \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$ + $ M_2M_6$ | 0.6773 | 0.8619 | 0.7858 | [X:[], M:[0.8686, 1.2171, 0.7829, 0.6971, 0.8686, 0.7829], q:[0.6971, 0.4343], qb:[0.3486, 0.7829], phi:[0.4343]] | t^2.09 + 2*t^2.35 + 3*t^2.61 + t^3.14 + t^3.39 + t^3.65 + t^4.18 + 4*t^4.44 + 7*t^4.7 + 5*t^4.95 + 5*t^5.21 + t^5.23 + 4*t^5.49 + 5*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | |
55381 | $M_1q_1q_2$ + $ \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$ + $ M_6q_1\tilde{q}_1$ | 0.6676 | 0.842 | 0.7928 | [X:[], M:[0.8363, 1.2091, 0.7909, 0.7455, 0.8363, 0.8818], q:[0.7455, 0.4182], qb:[0.3727, 0.7909], phi:[0.4182]] | t^2.24 + t^2.37 + 3*t^2.51 + t^2.65 + t^3.49 + 2*t^3.63 + t^4.47 + 3*t^4.61 + 5*t^4.75 + 3*t^4.88 + 6*t^5.02 + 3*t^5.15 + t^5.29 + 2*t^5.73 + 2*t^5.86 + t^6. - t^4.25/y - t^4.25*y | detail | |
55287 | $M_1q_1q_2$ + $ \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$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6721 | 0.8505 | 0.7903 | [X:[], M:[0.8543, 1.2136, 0.7864, 0.7185, 0.8543, 0.8543], q:[0.7185, 0.4272], qb:[0.3593, 0.7864], phi:[0.4272]] | t^2.16 + t^2.36 + 4*t^2.56 + t^3.23 + 2*t^3.64 + t^4.31 + 3*t^4.51 + 6*t^4.72 + 3*t^4.92 + 9*t^5.13 + t^5.39 + 2*t^5.59 + 5*t^5.8 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.32/y - t^4.32*y | detail |