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 |
---|---|---|---|---|---|---|---|---|---|
54444 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1M_6$ | 0.6051 | 0.7779 | 0.7779 | [X:[], M:[0.754, 0.7593, 1.0, 0.9947, 0.9947, 1.246], q:[0.7487, 0.4974], qb:[0.4921, 0.2513], phi:[0.5026]] | [X:[], M:[[3], [7], [0], [-4], [-4], [-3]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ M_3$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_3q_2\tilde{q}_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_5$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -2 | t^2.23 + t^2.25 + t^2.28 + t^2.97 + 2*t^2.98 + t^3. + 2*t^3.74 + t^3.75 + 2*t^4.46 + 2*t^4.48 + 2*t^4.49 + t^4.51 + t^4.52 + t^4.56 + t^5.2 + 3*t^5.21 + 3*t^5.23 + 2*t^5.25 + t^5.26 + t^5.94 + 2*t^5.95 + 5*t^5.97 + 3*t^5.98 - 2*t^6. + t^6.03 + 2*t^6.69 + 4*t^6.71 + 5*t^6.72 + 4*t^6.74 + t^6.8 + t^6.83 + 2*t^7.43 + 5*t^7.44 + 6*t^7.46 + 6*t^7.48 + t^7.49 - t^7.51 + t^7.54 + t^8.17 + 3*t^8.18 + 8*t^8.2 + 7*t^8.21 + t^8.23 - 2*t^8.25 - 2*t^8.26 - 3*t^8.28 + t^8.31 + t^8.9 + 5*t^8.92 + 8*t^8.94 + 10*t^8.95 + 4*t^8.97 - 3*t^8.98 - t^4.51/y - t^6.79/y + t^7.48/y - t^7.49/y + t^7.51/y + (2*t^7.52)/y + t^8.2/y + (3*t^8.21)/y + (4*t^8.23)/y + (2*t^8.25)/y + (2*t^8.26)/y + t^8.28/y + (2*t^8.95)/y + (4*t^8.97)/y + (5*t^8.98)/y - t^4.51*y - t^6.79*y + t^7.48*y - t^7.49*y + t^7.51*y + 2*t^7.52*y + t^8.2*y + 3*t^8.21*y + 4*t^8.23*y + 2*t^8.25*y + 2*t^8.26*y + t^8.28*y + 2*t^8.95*y + 4*t^8.97*y + 5*t^8.98*y | t^2.23/g1^5 + t^2.25/g1 + g1^7*t^2.28 + t^2.97/g1^8 + (2*t^2.98)/g1^4 + t^3. + (2*t^3.74)/g1^3 + g1*t^3.75 + (2*t^4.46)/g1^10 + (2*t^4.48)/g1^6 + (2*t^4.49)/g1^2 + g1^2*t^4.51 + g1^6*t^4.52 + g1^14*t^4.56 + t^5.2/g1^13 + (3*t^5.21)/g1^9 + (3*t^5.23)/g1^5 + (2*t^5.25)/g1 + g1^3*t^5.26 + t^5.94/g1^16 + (2*t^5.95)/g1^12 + (5*t^5.97)/g1^8 + (3*t^5.98)/g1^4 - 2*t^6. + g1^8*t^6.03 + (2*t^6.69)/g1^15 + (4*t^6.71)/g1^11 + (5*t^6.72)/g1^7 + (4*t^6.74)/g1^3 + g1^13*t^6.8 + g1^21*t^6.83 + (2*t^7.43)/g1^18 + (5*t^7.44)/g1^14 + (6*t^7.46)/g1^10 + (6*t^7.48)/g1^6 + t^7.49/g1^2 - g1^2*t^7.51 + g1^10*t^7.54 + t^8.17/g1^21 + (3*t^8.18)/g1^17 + (8*t^8.2)/g1^13 + (7*t^8.21)/g1^9 + t^8.23/g1^5 - (2*t^8.25)/g1 - 2*g1^3*t^8.26 - 3*g1^7*t^8.28 + g1^15*t^8.31 + t^8.9/g1^24 + (5*t^8.92)/g1^20 + (8*t^8.94)/g1^16 + (10*t^8.95)/g1^12 + (4*t^8.97)/g1^8 - (3*t^8.98)/g1^4 - (g1^2*t^4.51)/y - (g1^9*t^6.79)/y + t^7.48/(g1^6*y) - t^7.49/(g1^2*y) + (g1^2*t^7.51)/y + (2*g1^6*t^7.52)/y + t^8.2/(g1^13*y) + (3*t^8.21)/(g1^9*y) + (4*t^8.23)/(g1^5*y) + (2*t^8.25)/(g1*y) + (2*g1^3*t^8.26)/y + (g1^7*t^8.28)/y + (2*t^8.95)/(g1^12*y) + (4*t^8.97)/(g1^8*y) + (5*t^8.98)/(g1^4*y) - g1^2*t^4.51*y - g1^9*t^6.79*y + (t^7.48*y)/g1^6 - (t^7.49*y)/g1^2 + g1^2*t^7.51*y + 2*g1^6*t^7.52*y + (t^8.2*y)/g1^13 + (3*t^8.21*y)/g1^9 + (4*t^8.23*y)/g1^5 + (2*t^8.25*y)/g1 + 2*g1^3*t^8.26*y + g1^7*t^8.28*y + (2*t^8.95*y)/g1^12 + (4*t^8.97*y)/g1^8 + (5*t^8.98*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56559 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_1M_6$ + $ M_7q_2\tilde{q}_1$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[0.7321, 0.7083, 1.0, 1.0238, 1.0238, 1.2679, 0.9523], q:[0.756, 0.5119], qb:[0.5358, 0.244], phi:[0.4881]] | t^2.12 + t^2.27 + t^2.34 + t^2.86 + t^3. + 2*t^3.07 + t^3.73 + 2*t^3.8 + t^4.25 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + t^4.98 + t^5.12 + 2*t^5.2 + t^5.27 + 3*t^5.34 + 2*t^5.41 + t^5.71 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
48298 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[0.7503, 0.7508, 1.0, 0.9996, 0.9996], q:[0.7499, 0.4998], qb:[0.4993, 0.2501], phi:[0.5002]] | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. - t^4.5/y - t^4.5*y | detail |