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 |
---|---|---|---|---|---|---|---|---|---|
740 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6493 | 0.8122 | 0.7994 | [X:[], M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]] | [X:[], M:[[-6], [-14], [6], [6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | 0 | t^2.26 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + t^3.74 + t^3.83 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.71 + 2*t^5.81 + 2*t^5.9 + t^6.1 + 3*t^6.19 + 2*t^6.29 + t^6.79 + 3*t^6.89 + 5*t^6.99 + 7*t^7.08 + 8*t^7.18 + 5*t^7.28 + 2*t^7.38 + t^7.57 + t^7.67 + t^7.97 + 2*t^8.07 + 3*t^8.17 + t^8.26 - 2*t^8.36 - 3*t^8.46 + 2*t^8.56 + 5*t^8.65 + 3*t^8.75 - t^4.18/y - t^6.44/y - (2*t^6.54)/y - t^6.64/y + (2*t^7.62)/y + (4*t^7.72)/y + (6*t^7.82)/y + (2*t^7.92)/y + t^8.81/y - t^4.18*y - t^6.44*y - 2*t^6.54*y - t^6.64*y + 2*t^7.62*y + 4*t^7.72*y + 6*t^7.82*y + 2*t^7.92*y + t^8.81*y | t^2.26/g1^14 + (2*t^2.36)/g1^4 + 2*g1^6*t^2.46 + t^3.44/g1^16 + t^3.54/g1^6 + g1^14*t^3.74 + g1^24*t^3.83 + t^4.53/g1^28 + (2*t^4.62)/g1^18 + (5*t^4.72)/g1^8 + 5*g1^2*t^4.82 + 3*g1^12*t^4.92 + t^5.71/g1^30 + (2*t^5.81)/g1^20 + (2*t^5.9)/g1^10 + g1^10*t^6.1 + 3*g1^20*t^6.19 + 2*g1^30*t^6.29 + t^6.79/g1^42 + (3*t^6.89)/g1^32 + (5*t^6.99)/g1^22 + (7*t^7.08)/g1^12 + (8*t^7.18)/g1^2 + 5*g1^8*t^7.28 + 2*g1^18*t^7.38 + g1^38*t^7.57 + g1^48*t^7.67 + t^7.97/g1^44 + (2*t^8.07)/g1^34 + (3*t^8.17)/g1^24 + t^8.26/g1^14 - (2*t^8.36)/g1^4 - 3*g1^6*t^8.46 + 2*g1^16*t^8.56 + 5*g1^26*t^8.65 + 3*g1^36*t^8.75 - t^4.18/(g1^2*y) - t^6.44/(g1^16*y) - (2*t^6.54)/(g1^6*y) - (g1^4*t^6.64)/y + (2*t^7.62)/(g1^18*y) + (4*t^7.72)/(g1^8*y) + (6*g1^2*t^7.82)/y + (2*g1^12*t^7.92)/y + t^8.81/(g1^20*y) - (t^4.18*y)/g1^2 - (t^6.44*y)/g1^16 - (2*t^6.54*y)/g1^6 - g1^4*t^6.64*y + (2*t^7.62*y)/g1^18 + (4*t^7.72*y)/g1^8 + 6*g1^2*t^7.82*y + 2*g1^12*t^7.92*y + (t^8.81*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
1985 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6696 | 0.8513 | 0.7866 | [X:[], M:[1.1754, 0.7427, 0.8246, 0.8246, 0.7836, 0.7018], q:[0.8041, 0.4532], qb:[0.3714, 0.8041], phi:[0.3918]] | t^2.11 + t^2.23 + 2*t^2.35 + 2*t^2.47 + t^3.4 + t^3.53 + t^3.77 + t^4.21 + t^4.33 + 3*t^4.46 + 4*t^4.58 + 5*t^4.7 + 5*t^4.82 + 3*t^4.95 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
441 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ | 0.6321 | 0.7818 | 0.8086 | [X:[], M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.28 + t^2.37 + 2*t^2.45 + t^3.46 + t^3.55 + t^3.63 + t^3.72 + t^3.8 + t^4.56 + t^4.65 + 3*t^4.73 + 3*t^4.82 + 3*t^4.9 + t^5.75 + t^5.83 + 2*t^5.92 + t^6. - t^4.18/y - t^4.18*y | detail |