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 |
---|---|---|---|---|---|---|---|---|---|
54349 | 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6242 | 0.8107 | 0.7699 | [X:[], M:[0.7441, 0.7363, 1.0, 1.2559, 0.752, 1.0078], q:[0.752, 0.5039], qb:[0.5117, 0.248], phi:[0.4961]] | [X:[], M:[[3], [7], [0], [-3], [-1], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_6$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$, $ M_2M_4$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_6\phi_1\tilde{q}_2^2$ | -2 | t^2.21 + 2*t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.05 + 2*t^3.77 + t^4.42 + 2*t^4.46 + t^4.49 + 4*t^4.51 + 3*t^4.54 + 2*t^4.56 + t^5.19 + 2*t^5.23 + 4*t^5.26 + 3*t^5.28 + 3*t^5.3 + t^5.33 + t^5.95 + t^5.98 - 2*t^6. + 4*t^6.02 + 3*t^6.05 + t^6.07 + t^6.09 + t^6.63 + 2*t^6.67 + 2*t^6.72 + 2*t^6.74 + 6*t^6.77 + 5*t^6.79 + 6*t^6.81 + 2*t^6.84 + t^7.39 + 2*t^7.44 + t^7.46 + t^7.49 + 4*t^7.51 + 9*t^7.54 + 7*t^7.56 + 4*t^7.58 + 2*t^7.61 + t^8.16 - 2*t^8.21 + t^8.23 - 5*t^8.26 + 3*t^8.28 + 6*t^8.3 + 6*t^8.33 + 3*t^8.35 + t^8.37 + t^8.84 + 2*t^8.88 + 4*t^8.93 + t^8.95 - t^8.98 - t^4.49/y - t^6.7/y - t^6.74/y + (2*t^7.46)/y + t^7.49/y + t^7.51/y + (2*t^7.54)/y + t^8.19/y + t^8.21/y + (4*t^8.23)/y + (4*t^8.26)/y + (4*t^8.28)/y + (3*t^8.3)/y + t^8.33/y - t^8.91/y - t^8.95/y + (3*t^8.98)/y - t^4.49*y - t^6.7*y - t^6.74*y + 2*t^7.46*y + t^7.49*y + t^7.51*y + 2*t^7.54*y + t^8.19*y + t^8.21*y + 4*t^8.23*y + 4*t^8.26*y + 4*t^8.28*y + 3*t^8.3*y + t^8.33*y - t^8.91*y - t^8.95*y + 3*t^8.98*y | g1^7*t^2.21 + (2*t^2.26)/g1 + t^2.28/g1^5 + g1^4*t^2.98 + t^3. + t^3.02/g1^4 + t^3.05/g1^8 + (2*t^3.77)/g1^3 + g1^14*t^4.42 + 2*g1^6*t^4.46 + g1^2*t^4.49 + (4*t^4.51)/g1^2 + (3*t^4.54)/g1^6 + (2*t^4.56)/g1^10 + g1^11*t^5.19 + 2*g1^3*t^5.23 + (4*t^5.26)/g1 + (3*t^5.28)/g1^5 + (3*t^5.3)/g1^9 + t^5.33/g1^13 + g1^8*t^5.95 + g1^4*t^5.98 - 2*t^6. + (4*t^6.02)/g1^4 + (3*t^6.05)/g1^8 + t^6.07/g1^12 + t^6.09/g1^16 + g1^21*t^6.63 + 2*g1^13*t^6.67 + 2*g1^5*t^6.72 + 2*g1*t^6.74 + (6*t^6.77)/g1^3 + (5*t^6.79)/g1^7 + (6*t^6.81)/g1^11 + (2*t^6.84)/g1^15 + g1^18*t^7.39 + 2*g1^10*t^7.44 + g1^6*t^7.46 + g1^2*t^7.49 + (4*t^7.51)/g1^2 + (9*t^7.54)/g1^6 + (7*t^7.56)/g1^10 + (4*t^7.58)/g1^14 + (2*t^7.61)/g1^18 + g1^15*t^8.16 - 2*g1^7*t^8.21 + g1^3*t^8.23 - (5*t^8.26)/g1 + (3*t^8.28)/g1^5 + (6*t^8.3)/g1^9 + (6*t^8.33)/g1^13 + (3*t^8.35)/g1^17 + t^8.37/g1^21 + g1^28*t^8.84 + 2*g1^20*t^8.88 + 4*g1^12*t^8.93 + g1^8*t^8.95 - g1^4*t^8.98 - (g1^2*t^4.49)/y - (g1^9*t^6.7)/y - (g1*t^6.74)/y + (2*g1^6*t^7.46)/y + (g1^2*t^7.49)/y + t^7.51/(g1^2*y) + (2*t^7.54)/(g1^6*y) + (g1^11*t^8.19)/y + (g1^7*t^8.21)/y + (4*g1^3*t^8.23)/y + (4*t^8.26)/(g1*y) + (4*t^8.28)/(g1^5*y) + (3*t^8.3)/(g1^9*y) + t^8.33/(g1^13*y) - (g1^16*t^8.91)/y - (g1^8*t^8.95)/y + (3*g1^4*t^8.98)/y - g1^2*t^4.49*y - g1^9*t^6.7*y - g1*t^6.74*y + 2*g1^6*t^7.46*y + g1^2*t^7.49*y + (t^7.51*y)/g1^2 + (2*t^7.54*y)/g1^6 + g1^11*t^8.19*y + g1^7*t^8.21*y + 4*g1^3*t^8.23*y + (4*t^8.26*y)/g1 + (4*t^8.28*y)/g1^5 + (3*t^8.3*y)/g1^9 + (t^8.33*y)/g1^13 - g1^16*t^8.91*y - g1^8*t^8.95*y + 3*g1^4*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
56521 | $M_1q_1q_2$ + $ 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6242 | 0.813 | 0.7678 | [X:[], M:[0.7551, 0.762, 1.0, 1.2449, 0.7483, 0.9931, 0.9931], q:[0.7483, 0.4966], qb:[0.4897, 0.2517], phi:[0.5034]] | t^2.22 + 2*t^2.24 + t^2.29 + t^2.96 + 2*t^2.98 + t^3. + 2*t^3.73 + 2*t^4.45 + 3*t^4.47 + 4*t^4.49 + t^4.51 + 2*t^4.53 + t^4.57 + t^5.18 + 4*t^5.2 + 5*t^5.22 + 3*t^5.24 + t^5.27 + t^5.92 + 2*t^5.94 + 5*t^5.96 + 4*t^5.98 - 3*t^6. - t^4.51/y - t^4.51*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 |
---|---|---|---|---|---|---|---|---|---|
46813 | 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_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6256 | 0.8117 | 0.7708 | [X:[], M:[0.7331, 0.7105, 1.0, 1.2669, 0.7556], q:[0.7556, 0.5113], qb:[0.5339, 0.2444], phi:[0.4887]] | t^2.13 + 2*t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.14 + 2*t^3.8 + t^4.26 + 2*t^4.4 + t^4.47 + 4*t^4.53 + 3*t^4.6 + 2*t^4.67 + 2*t^5.06 + 3*t^5.2 + 5*t^5.27 + t^5.33 + 2*t^5.4 + t^5.47 + 3*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*y | detail |