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 |
---|---|---|---|---|---|---|---|---|---|
2873 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.5573 | 0.6931 | 0.804 | [X:[1.4085], M:[0.9183, 0.5915, 1.0817, 1.0, 0.7549, 1.1634], q:[0.8317, 0.75], qb:[0.25, 0.4951], phi:[0.4183]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-3], [2]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_1$, $ M_4$, $ M_3$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_5M_6$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.24 + t^2.26 + t^2.75 + t^3. + t^3.25 + 2*t^3.49 + t^3.98 + t^4.23 + t^4.47 + t^4.5 + t^4.53 + t^4.75 + t^4.99 + t^5.02 + t^5.24 + t^5.48 + t^5.51 + 2*t^5.73 + 2*t^5.75 - t^6. + t^6.22 + 2*t^6.25 + t^6.46 + 2*t^6.49 - t^6.52 + t^6.71 + 2*t^6.74 + t^6.79 + 3*t^6.98 + 2*t^7.23 - t^7.25 + t^7.28 + 3*t^7.47 - t^7.5 + 2*t^7.72 + t^7.77 + 3*t^7.96 + t^7.99 + t^8.02 + t^8.21 - t^8.24 - 2*t^8.26 + 2*t^8.45 + t^8.48 + t^8.51 + t^8.7 + 2*t^8.73 - 2*t^8.75 - t^8.78 + t^8.94 + 2*t^8.97 - t^4.25/y - t^6.52/y + t^7.5/y + (2*t^7.99)/y + t^8.02/y + t^8.24/y + t^8.26/y + t^8.48/y + t^8.51/y + (2*t^8.73)/y + (3*t^8.75)/y - t^8.78/y - t^4.25*y - t^6.52*y + t^7.5*y + 2*t^7.99*y + t^8.02*y + t^8.24*y + t^8.26*y + t^8.48*y + t^8.51*y + 2*t^8.73*y + 3*t^8.75*y - t^8.78*y | g1^3*t^2.24 + t^2.26/g1^3 + t^2.75/g1 + t^3. + g1*t^3.25 + 2*g1^2*t^3.49 + g1^4*t^3.98 + g1^5*t^4.23 + g1^6*t^4.47 + t^4.5 + t^4.53/g1^6 + g1*t^4.75 + g1^2*t^4.99 + t^5.02/g1^4 + g1^3*t^5.24 + g1^4*t^5.48 + t^5.51/g1^2 + 2*g1^5*t^5.73 + (2*t^5.75)/g1 - t^6. + g1^7*t^6.22 + 2*g1*t^6.25 + g1^8*t^6.46 + 2*g1^2*t^6.49 - t^6.52/g1^4 + g1^9*t^6.71 + 2*g1^3*t^6.74 + t^6.79/g1^9 + 3*g1^4*t^6.98 + 2*g1^5*t^7.23 - t^7.25/g1 + t^7.28/g1^7 + 3*g1^6*t^7.47 - t^7.5 + 2*g1^7*t^7.72 + t^7.77/g1^5 + 3*g1^8*t^7.96 + g1^2*t^7.99 + t^8.02/g1^4 + g1^9*t^8.21 - g1^3*t^8.24 - (2*t^8.26)/g1^3 + 2*g1^10*t^8.45 + g1^4*t^8.48 + t^8.51/g1^2 + g1^11*t^8.7 + 2*g1^5*t^8.73 - (2*t^8.75)/g1 - t^8.78/g1^7 + g1^12*t^8.94 + 2*g1^6*t^8.97 - t^4.25/(g1*y) - t^6.52/(g1^4*y) + t^7.5/y + (2*g1^2*t^7.99)/y + t^8.02/(g1^4*y) + (g1^3*t^8.24)/y + t^8.26/(g1^3*y) + (g1^4*t^8.48)/y + t^8.51/(g1^2*y) + (2*g1^5*t^8.73)/y + (3*t^8.75)/(g1*y) - t^8.78/(g1^7*y) - (t^4.25*y)/g1 - (t^6.52*y)/g1^4 + t^7.5*y + 2*g1^2*t^7.99*y + (t^8.02*y)/g1^4 + g1^3*t^8.24*y + (t^8.26*y)/g1^3 + g1^4*t^8.48*y + (t^8.51*y)/g1^2 + 2*g1^5*t^8.73*y + (3*t^8.75*y)/g1 - (t^8.78*y)/g1^7 |
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 |
---|---|---|---|---|---|---|---|---|
3437 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.55 | 0.682 | 0.8064 | [X:[1.3879], M:[0.9224, 0.6121, 1.0776, 1.0, 0.7672, 1.1552, 1.0776], q:[0.8276, 0.75], qb:[0.25, 0.4828], phi:[0.4224]] | t^2.2 + t^2.3 + t^3. + 2*t^3.23 + 2*t^3.47 + t^3.93 + t^4.16 + t^4.4 + t^4.5 + t^4.6 + t^4.73 + t^5.2 + 2*t^5.43 + t^5.53 + 2*t^5.66 + t^5.77 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
3438 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.5781 | 0.7344 | 0.7872 | [X:[1.4109], M:[0.9178, 0.5891, 1.0822, 1.0, 0.7535, 1.1643, 0.6713], q:[0.8322, 0.75], qb:[0.25, 0.4965], phi:[0.4178]] | t^2.01 + t^2.24 + t^2.26 + t^2.75 + t^3. + t^3.25 + 2*t^3.49 + t^4.03 + t^4.23 + t^4.25 + t^4.27 + t^4.48 + t^4.5 + t^4.52 + t^4.75 + t^4.77 + t^4.99 + 2*t^5.01 + t^5.24 + t^5.26 + t^5.49 + 3*t^5.51 + 2*t^5.73 + 2*t^5.75 - t^6. - t^4.25/y - t^4.25*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 |
---|---|---|---|---|---|---|---|---|---|
1858 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5q_2\tilde{q}_2$ | 0.5719 | 0.7171 | 0.7975 | [X:[1.4402], M:[0.912, 0.5598, 1.088, 1.0, 0.7359], q:[0.838, 0.75], qb:[0.25, 0.5141], phi:[0.412]] | t^2.21 + t^2.29 + t^2.47 + t^2.74 + t^3. + t^3.26 + t^3.53 + t^4.06 + t^4.32 + t^4.42 + t^4.5 + t^4.58 + t^4.68 + 2*t^4.76 + 2*t^4.94 + t^5.03 + t^5.21 + t^5.29 + 2*t^5.47 + t^5.56 + 2*t^5.74 + t^5.82 - t^4.24/y - t^4.24*y | detail |