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 |
---|---|---|---|---|---|---|---|---|---|
3240 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_3M_5$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.9032, 0.7527, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | [X:[[2], [4]], M:[[-5], [-2], [-6], [-5], [6]], q:[[1], [1]], qb:[[4], [2]], phi:[[-2]]] | 1 | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 28/31, M4: 70/93, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ X_1$, $ M_1M_5$, $ M_4M_5$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | . | -4 | 2*t^2.26 + 2*t^3.29 + 2*t^4.19 + 3*t^4.52 + 2*t^4.65 + t^5.1 + 2*t^5.55 - 4*t^6. + 3*t^6.58 + 4*t^6.77 + t^6.9 + 3*t^7.48 + 3*t^7.81 + 2*t^7.94 - 6*t^8.26 + t^8.39 + 2*t^8.84 - t^3.9/y - (2*t^6.16)/y + t^7.52/y + (2*t^7.65)/y - (3*t^8.42)/y + (4*t^8.55)/y - t^3.9*y - 2*t^6.16*y + t^7.52*y + 2*t^7.65*y - 3*t^8.42*y + 4*t^8.55*y | (2*t^2.26)/g1^5 + 2*g1^6*t^3.29 + 2*g1^4*t^4.19 + (3*t^4.52)/g1^10 + 2*g1^3*t^4.65 + g1^2*t^5.1 + 2*g1*t^5.55 - 4*t^6. + 3*g1^12*t^6.58 + (4*t^6.77)/g1^15 + t^6.9/g1^2 + 3*g1^10*t^7.48 + (3*t^7.81)/g1^4 + 2*g1^9*t^7.94 - (6*t^8.26)/g1^5 + g1^8*t^8.39 + 2*g1^7*t^8.84 - t^3.9/(g1^2*y) - (2*t^6.16)/(g1^7*y) + t^7.52/(g1^10*y) + (2*g1^3*t^7.65)/y - (3*t^8.42)/(g1^12*y) + (4*g1*t^8.55)/y - (t^3.9*y)/g1^2 - (2*t^6.16*y)/g1^7 + (t^7.52*y)/g1^10 + 2*g1^3*t^7.65*y - (3*t^8.42*y)/g1^12 + 4*g1*t^8.55*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 |
---|---|---|---|---|---|---|---|---|
3660 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_3M_5$ + $ M_1M_6$ | 0.5546 | 0.6416 | 0.8644 | [X:[1.6908, 1.3815], M:[0.7731, 0.3092, 0.9277, 0.7731, 1.0723, 1.2269], q:[0.8454, 0.8454], qb:[0.3815, 0.6908], phi:[0.3092]] | t^2.32 + 2*t^3.22 + t^3.68 + 2*t^4.14 + 2*t^4.61 + t^4.64 + t^5.07 - 3*t^6. - t^3.93/y - t^3.93*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 |
---|---|---|---|---|---|---|---|---|---|
2724 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.5838 | 0.6909 | 0.845 | [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.8588, 0.7156], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] | 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. - t^3.86/y - t^3.86*y | detail |