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 |
---|---|---|---|---|---|---|---|---|---|
55537 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.576 | 0.7183 | 0.8019 | [X:[1.5743], M:[0.4257, 0.9801, 1.2772, 0.7228, 1.0199, 0.8515], q:[0.6386, 0.9357], qb:[0.3813, 0.3415], phi:[0.4257]] | [X:[[2]], M:[[-2], [-14], [-6], [6], [14], [-4]], q:[[-3], [5]], qb:[[17], [-11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_4\phi_1^2$, $ X_1$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | . | -1 | t^2.17 + 2*t^2.55 + t^2.94 + t^3.06 + t^3.33 + t^3.56 + t^3.83 + t^3.95 + t^4.34 + 3*t^4.72 + 4*t^5.11 + t^5.23 + 2*t^5.49 + t^5.61 + t^5.73 + 2*t^5.88 - t^6. + 3*t^6.12 + t^6.27 + t^6.39 + 2*t^6.51 + t^6.62 + t^6.65 - t^6.77 + 2*t^6.89 + t^7.13 + 4*t^7.28 + t^7.52 + 6*t^7.66 + t^7.78 + 2*t^7.9 + 3*t^8.05 - 2*t^8.17 + 3*t^8.29 + 3*t^8.44 - 4*t^8.55 + 4*t^8.67 + t^8.79 + 2*t^8.82 - 2*t^8.94 - t^4.28/y - (2*t^6.83)/y + (4*t^7.72)/y + (2*t^8.11)/y + t^8.23/y + (3*t^8.49)/y + (2*t^8.61)/y + t^8.73/y + (2*t^8.88)/y - t^4.28*y - 2*t^6.83*y + 4*t^7.72*y + 2*t^8.11*y + t^8.23*y + 3*t^8.49*y + 2*t^8.61*y + t^8.73*y + 2*t^8.88*y | g1^6*t^2.17 + (2*t^2.55)/g1^4 + t^2.94/g1^14 + g1^14*t^3.06 + t^3.33/g1^24 + g1^32*t^3.56 + t^3.83/g1^6 + g1^22*t^3.95 + g1^12*t^4.34 + 3*g1^2*t^4.72 + (4*t^5.11)/g1^8 + g1^20*t^5.23 + (2*t^5.49)/g1^18 + g1^10*t^5.61 + g1^38*t^5.73 + (2*t^5.88)/g1^28 - t^6. + 3*g1^28*t^6.12 + t^6.27/g1^38 + t^6.39/g1^10 + 2*g1^18*t^6.51 + g1^46*t^6.62 + t^6.65/g1^48 - t^6.77/g1^20 + 2*g1^8*t^6.89 + g1^64*t^7.13 + (4*t^7.28)/g1^2 + g1^54*t^7.52 + (6*t^7.66)/g1^12 + g1^16*t^7.78 + 2*g1^44*t^7.9 + (3*t^8.05)/g1^22 - 2*g1^6*t^8.17 + 3*g1^34*t^8.29 + (3*t^8.44)/g1^32 - (4*t^8.55)/g1^4 + 4*g1^24*t^8.67 + g1^52*t^8.79 + (2*t^8.82)/g1^42 - (2*t^8.94)/g1^14 - t^4.28/(g1^2*y) - (2*t^6.83)/(g1^6*y) + (4*g1^2*t^7.72)/y + (2*t^8.11)/(g1^8*y) + (g1^20*t^8.23)/y + (3*t^8.49)/(g1^18*y) + (2*g1^10*t^8.61)/y + (g1^38*t^8.73)/y + (2*t^8.88)/(g1^28*y) - (t^4.28*y)/g1^2 - (2*t^6.83*y)/g1^6 + 4*g1^2*t^7.72*y + (2*t^8.11*y)/g1^8 + g1^20*t^8.23*y + (3*t^8.49*y)/g1^18 + 2*g1^10*t^8.61*y + g1^38*t^8.73*y + (2*t^8.88*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
57093 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.5751 | 0.718 | 0.801 | [X:[1.5714], M:[0.4286, 1.0002, 1.2858, 0.7142, 0.9998, 0.8572, 0.9998], q:[0.6429, 0.9285], qb:[0.3569, 0.3573], phi:[0.4286]] | t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + t^4.29 + 3*t^4.71 + 5*t^5.14 + 4*t^5.57 + 4*t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
48117 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 0.9848, 1.2792, 0.7208, 1.0152], q:[0.6396, 0.934], qb:[0.3756, 0.3452], phi:[0.4264]] | t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.35 + t^3.44 + t^3.53 + t^3.84 + t^3.93 + t^4.32 + 2*t^4.72 + 2*t^5.12 + t^5.21 + t^5.51 + t^5.6 + t^5.7 + t^5.91 - t^4.28/y - t^4.28*y | detail |