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 |
---|---|---|---|---|---|---|---|---|---|
50939 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2^2$ + $ M_6\phi_1^2$ | 0.5865 | 0.7334 | 0.7996 | [X:[], M:[1.2568, 1.0, 0.7432, 0.6757, 0.9054, 1.1622], q:[0.3378, 0.4054], qb:[0.6622, 0.9189], phi:[0.4189]] | [X:[], M:[[3], [0], [-3], [4], [-5], [-2]], q:[[2], [-5]], qb:[[-2], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_5$, $ M_2$, $ q_2\tilde{q}_1$, $ M_6$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_3q_2\tilde{q}_1$, $ M_4M_6$, $ M_4\phi_1q_1q_2$, $ M_2M_5$, $ M_3M_6$, $ M_4\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_5q_2\tilde{q}_1$ | . | -1 | t^2.03 + t^2.23 + t^2.72 + t^3. + t^3.2 + 2*t^3.49 + t^3.69 + t^3.77 + t^4.05 + t^4.26 + t^4.46 + 2*t^4.74 + t^4.95 + t^5.03 + 2*t^5.23 + 2*t^5.43 + t^5.51 + 3*t^5.72 + 2*t^5.92 - t^6. + t^6.08 + 2*t^6.2 + 2*t^6.41 + 2*t^6.49 + 3*t^6.69 + t^6.77 + t^6.89 + 2*t^6.97 + 2*t^7.18 + t^7.26 + t^7.38 + 3*t^7.46 + t^7.54 + 2*t^7.66 + t^7.74 + 4*t^7.95 - 3*t^8.03 + t^8.11 + 3*t^8.15 + 4*t^8.43 + 3*t^8.63 - t^8.72 + 5*t^8.92 - t^4.26/y - t^6.28/y - t^6.97/y + t^7.26/y + t^7.54/y + t^7.74/y + t^7.95/y + t^8.03/y + (3*t^8.23)/y - t^8.31/y + t^8.43/y + (2*t^8.51)/y + (4*t^8.72)/y + t^8.8/y + (2*t^8.92)/y - t^4.26*y - t^6.28*y - t^6.97*y + t^7.26*y + t^7.54*y + t^7.74*y + t^7.95*y + t^8.03*y + 3*t^8.23*y - t^8.31*y + t^8.43*y + 2*t^8.51*y + 4*t^8.72*y + t^8.8*y + 2*t^8.92*y | g1^4*t^2.03 + t^2.23/g1^3 + t^2.72/g1^5 + t^3. + t^3.2/g1^7 + (2*t^3.49)/g1^2 + t^3.69/g1^9 + g1^3*t^3.77 + g1^8*t^4.05 + g1*t^4.26 + t^4.46/g1^6 + (2*t^4.74)/g1 + t^4.95/g1^8 + g1^4*t^5.03 + (2*t^5.23)/g1^3 + (2*t^5.43)/g1^10 + g1^2*t^5.51 + (3*t^5.72)/g1^5 + (2*t^5.92)/g1^12 - t^6. + g1^12*t^6.08 + (2*t^6.2)/g1^7 + (2*t^6.41)/g1^14 + (2*t^6.49)/g1^2 + (3*t^6.69)/g1^9 + g1^3*t^6.77 + t^6.89/g1^16 + (2*t^6.97)/g1^4 + (2*t^7.18)/g1^11 + g1*t^7.26 + t^7.38/g1^18 + (3*t^7.46)/g1^6 + g1^6*t^7.54 + (2*t^7.66)/g1^13 + t^7.74/g1 + (4*t^7.95)/g1^8 - 3*g1^4*t^8.03 + g1^16*t^8.11 + (3*t^8.15)/g1^15 + (4*t^8.43)/g1^10 + (3*t^8.63)/g1^17 - t^8.72/g1^5 + (5*t^8.92)/g1^12 - (g1*t^4.26)/y - (g1^5*t^6.28)/y - t^6.97/(g1^4*y) + (g1*t^7.26)/y + (g1^6*t^7.54)/y + t^7.74/(g1*y) + t^7.95/(g1^8*y) + (g1^4*t^8.03)/y + (3*t^8.23)/(g1^3*y) - (g1^9*t^8.31)/y + t^8.43/(g1^10*y) + (2*g1^2*t^8.51)/y + (4*t^8.72)/(g1^5*y) + (g1^7*t^8.8)/y + (2*t^8.92)/(g1^12*y) - g1*t^4.26*y - g1^5*t^6.28*y - (t^6.97*y)/g1^4 + g1*t^7.26*y + g1^6*t^7.54*y + (t^7.74*y)/g1 + (t^7.95*y)/g1^8 + g1^4*t^8.03*y + (3*t^8.23*y)/g1^3 - g1^9*t^8.31*y + (t^8.43*y)/g1^10 + 2*g1^2*t^8.51*y + (4*t^8.72*y)/g1^5 + g1^7*t^8.8*y + (2*t^8.92*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
56052 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2^2$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.5744 | 0.7027 | 0.8173 | [X:[1.3568], M:[1.2324, 1.0, 0.7676, 0.6432, 0.9459, 1.1784, 0.8757], q:[0.3216, 0.4459], qb:[0.6784, 0.9108], phi:[0.4108]] | t^2.3 + t^2.63 + t^2.84 + t^3. + 2*t^3.54 + t^3.7 + t^3.91 + t^4.07 + t^4.61 + t^4.77 + t^4.93 + t^5.14 + t^5.25 + t^5.3 + t^5.68 + 2*t^5.84 - t^6. - t^4.23/y - t^4.23*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 |
---|---|---|---|---|---|---|---|---|---|
47268 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2^2$ | 0.6006 | 0.757 | 0.7934 | [X:[], M:[1.2513, 1.0, 0.7487, 0.6685, 0.9144], q:[0.3342, 0.4144], qb:[0.6658, 0.9171], phi:[0.4171]] | t^2.01 + t^2.25 + t^2.5 + t^2.74 + t^3. + t^3.24 + t^3.5 + t^3.74 + t^3.75 + t^4.01 + t^4.25 + t^4.49 + t^4.51 + 3*t^4.75 + t^4.99 + 2*t^5.01 + 3*t^5.25 + 2*t^5.49 + t^5.5 + 3*t^5.74 + 2*t^5.98 - t^4.25/y - t^4.25*y | detail |