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 |
---|---|---|---|---|---|---|---|---|---|
3554 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ | 0.6688 | 0.8425 | 0.7938 | [X:[], M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-30], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_7$, $ M_1$, $ M_6$, $ M_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_6M_7$, $ M_2M_4$, $ M_4M_5$, $ M_2M_7$, $ M_5M_7$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_3M_7$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$ | . | -2 | 2*t^2.1 + t^2.46 + t^3.15 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.84 + t^3.87 + 3*t^4.2 + t^4.23 + t^4.26 + 2*t^4.56 + t^4.62 + t^4.92 + 2*t^5.25 + 4*t^5.28 + 2*t^5.61 + 3*t^5.64 + 2*t^5.94 + 2*t^5.97 - 2*t^6. - t^6.03 + 6*t^6.3 + 4*t^6.33 + 2*t^6.36 - t^6.39 + 4*t^6.66 + 2*t^6.69 + 3*t^6.72 + t^6.99 + 4*t^7.02 - t^7.08 + 4*t^7.35 + 8*t^7.38 + t^7.68 + 4*t^7.71 + 5*t^7.74 + 3*t^8.04 + 4*t^8.07 - 3*t^8.1 - 3*t^8.13 + 9*t^8.4 + 7*t^8.43 + 2*t^8.46 - 3*t^8.49 + 7*t^8.76 + 4*t^8.79 + 3*t^8.82 + t^8.88 - t^4.41/y - (2*t^6.51)/y + t^7.2/y + t^7.23/y + t^7.26/y + t^7.56/y - t^7.59/y + (2*t^8.25)/y + (4*t^8.28)/y + (2*t^8.31)/y + (4*t^8.64)/y + (2*t^8.94)/y + (3*t^8.97)/y - t^4.41*y - 2*t^6.51*y + t^7.2*y + t^7.23*y + t^7.26*y + t^7.56*y - t^7.59*y + 2*t^8.25*y + 4*t^8.28*y + 2*t^8.31*y + 4*t^8.64*y + 2*t^8.94*y + 3*t^8.97*y | (2*t^2.1)/g1^20 + t^2.46/g1^12 + t^3.15/g1^30 + 2*g1^4*t^3.18 + t^3.51/g1^22 + g1^12*t^3.54 + t^3.84/g1^48 + t^3.87/g1^14 + (3*t^4.2)/g1^40 + t^4.23/g1^6 + g1^28*t^4.26 + (2*t^4.56)/g1^32 + g1^36*t^4.62 + t^4.92/g1^24 + (2*t^5.25)/g1^50 + (4*t^5.28)/g1^16 + (2*t^5.61)/g1^42 + (3*t^5.64)/g1^8 + (2*t^5.94)/g1^68 + (2*t^5.97)/g1^34 - 2*t^6. - g1^34*t^6.03 + (6*t^6.3)/g1^60 + (4*t^6.33)/g1^26 + 2*g1^8*t^6.36 - g1^42*t^6.39 + (4*t^6.66)/g1^52 + (2*t^6.69)/g1^18 + 3*g1^16*t^6.72 + t^6.99/g1^78 + (4*t^7.02)/g1^44 - g1^24*t^7.08 + (4*t^7.35)/g1^70 + (8*t^7.38)/g1^36 + t^7.68/g1^96 + (4*t^7.71)/g1^62 + (5*t^7.74)/g1^28 + (3*t^8.04)/g1^88 + (4*t^8.07)/g1^54 - (3*t^8.1)/g1^20 - 3*g1^14*t^8.13 + (9*t^8.4)/g1^80 + (7*t^8.43)/g1^46 + (2*t^8.46)/g1^12 - 3*g1^22*t^8.49 + (7*t^8.76)/g1^72 + (4*t^8.79)/g1^38 + (3*t^8.82)/g1^4 + g1^64*t^8.88 - t^4.41/(g1^2*y) - (2*t^6.51)/(g1^22*y) + t^7.2/(g1^40*y) + t^7.23/(g1^6*y) + (g1^28*t^7.26)/y + t^7.56/(g1^32*y) - (g1^2*t^7.59)/y + (2*t^8.25)/(g1^50*y) + (4*t^8.28)/(g1^16*y) + (2*g1^18*t^8.31)/y + (4*t^8.64)/(g1^8*y) + (2*t^8.94)/(g1^68*y) + (3*t^8.97)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.51*y)/g1^22 + (t^7.2*y)/g1^40 + (t^7.23*y)/g1^6 + g1^28*t^7.26*y + (t^7.56*y)/g1^32 - g1^2*t^7.59*y + (2*t^8.25*y)/g1^50 + (4*t^8.28*y)/g1^16 + 2*g1^18*t^8.31*y + (4*t^8.64*y)/g1^8 + (2*t^8.94*y)/g1^68 + (3*t^8.97*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
5228 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ + $ M_8q_2\tilde{q}_1$ | 0.6838 | 0.867 | 0.7887 | [X:[], M:[0.8278, 1.0574, 1.1722, 0.713, 1.0574, 1.0695, 0.713, 0.8157], q:[0.4078, 0.7643], qb:[0.42, 0.5226], phi:[0.4713]] | 2*t^2.14 + t^2.45 + t^2.48 + 2*t^3.17 + t^3.21 + t^3.52 + t^3.9 + t^3.93 + t^4.21 + t^4.24 + 3*t^4.28 + t^4.55 + 2*t^4.59 + 2*t^4.62 + t^4.89 + t^4.93 + t^4.97 + 4*t^5.31 + 2*t^5.35 + 2*t^5.62 + 4*t^5.66 - 2*t^6. - t^4.41/y - t^4.41*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 |
---|---|---|---|---|---|---|---|---|---|
2961 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6483 | 0.8029 | 0.8074 | [X:[], M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.47 + t^3.17 + 2*t^3.18 + t^3.52 + t^3.53 + t^3.86 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + t^4.25 + t^4.58 + t^4.6 + t^4.93 + t^5.28 + 2*t^5.29 + t^5.63 + 2*t^5.64 + t^5.97 + t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail |