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 |
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4335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ + $ M_8\phi_1q_2^2$ | 0.5849 | 0.7406 | 0.7897 | [X:[], M:[1.0, 1.0726, 0.8547, 0.6816, 0.7821, 1.1453, 1.2179, 1.0726], q:[0.7682, 0.2318], qb:[0.6229, 0.5224], phi:[0.4637]] | [X:[], M:[[0], [4], [-8], [10], [-12], [8], [12], [4]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ M_8$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_4$, $ M_4M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_6q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.26 + t^2.56 + t^3. + 2*t^3.22 + t^3.44 + t^3.65 + t^3.87 + t^4.09 + t^4.17 + t^4.31 + 2*t^4.53 + t^4.61 + t^4.83 + t^5.04 + t^5.13 + 3*t^5.26 + 3*t^5.48 + t^5.56 + t^5.7 + t^5.78 + 2*t^5.92 - 2*t^6. + 2*t^6.13 + 2*t^6.22 - t^6.3 + t^6.35 + 4*t^6.44 - t^6.52 + 2*t^6.57 + 2*t^6.65 + 2*t^6.79 + 3*t^6.87 - 2*t^6.96 + 4*t^7.09 + 4*t^7.31 + 5*t^7.53 - t^7.61 + 5*t^7.74 + t^7.83 - t^7.91 + 3*t^7.96 - t^8.04 + 4*t^8.18 - t^8.26 + 3*t^8.4 + 4*t^8.48 - 4*t^8.56 + 2*t^8.61 + 6*t^8.7 - t^8.78 + 2*t^8.83 + 2*t^8.92 - t^4.39/y - t^6.44/y + t^7.17/y + t^7.31/y + t^7.83/y + t^8.04/y + (3*t^8.26)/y + t^8.35/y + (2*t^8.48)/y + t^8.56/y + (2*t^8.7)/y + (2*t^8.78)/y + (2*t^8.92)/y - t^4.39*y - t^6.44*y + t^7.17*y + t^7.31*y + t^7.83*y + t^8.04*y + 3*t^8.26*y + t^8.35*y + 2*t^8.48*y + t^8.56*y + 2*t^8.7*y + 2*t^8.78*y + 2*t^8.92*y | g1^10*t^2.04 + g1^14*t^2.26 + t^2.56/g1^8 + t^3. + 2*g1^4*t^3.22 + g1^8*t^3.44 + g1^12*t^3.65 + g1^16*t^3.87 + g1^20*t^4.09 + t^4.17/g1^6 + g1^24*t^4.31 + 2*g1^28*t^4.53 + g1^2*t^4.61 + g1^6*t^4.83 + g1^10*t^5.04 + t^5.13/g1^16 + 3*g1^14*t^5.26 + 3*g1^18*t^5.48 + t^5.56/g1^8 + g1^22*t^5.7 + t^5.78/g1^4 + 2*g1^26*t^5.92 - 2*t^6. + 2*g1^30*t^6.13 + 2*g1^4*t^6.22 - t^6.3/g1^22 + g1^34*t^6.35 + 4*g1^8*t^6.44 - t^6.52/g1^18 + 2*g1^38*t^6.57 + 2*g1^12*t^6.65 + 2*g1^42*t^6.79 + 3*g1^16*t^6.87 - (2*t^6.96)/g1^10 + 4*g1^20*t^7.09 + 4*g1^24*t^7.31 + 5*g1^28*t^7.53 - g1^2*t^7.61 + 5*g1^32*t^7.74 + g1^6*t^7.83 - t^7.91/g1^20 + 3*g1^36*t^7.96 - g1^10*t^8.04 + 4*g1^40*t^8.18 - g1^14*t^8.26 + 3*g1^44*t^8.4 + 4*g1^18*t^8.48 - (4*t^8.56)/g1^8 + 2*g1^48*t^8.61 + 6*g1^22*t^8.7 - t^8.78/g1^4 + 2*g1^52*t^8.83 + 2*g1^26*t^8.92 - t^4.39/(g1^2*y) - (g1^8*t^6.44)/y + t^7.17/(g1^6*y) + (g1^24*t^7.31)/y + (g1^6*t^7.83)/y + (g1^10*t^8.04)/y + (3*g1^14*t^8.26)/y + t^8.35/(g1^12*y) + (2*g1^18*t^8.48)/y + t^8.56/(g1^8*y) + (2*g1^22*t^8.7)/y + (2*t^8.78)/(g1^4*y) + (2*g1^26*t^8.92)/y - (t^4.39*y)/g1^2 - g1^8*t^6.44*y + (t^7.17*y)/g1^6 + g1^24*t^7.31*y + g1^6*t^7.83*y + g1^10*t^8.04*y + 3*g1^14*t^8.26*y + (t^8.35*y)/g1^12 + 2*g1^18*t^8.48*y + (t^8.56*y)/g1^8 + 2*g1^22*t^8.7*y + (2*t^8.78*y)/g1^4 + 2*g1^26*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
5784 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ + $ M_8\phi_1q_2^2$ + $ M_6M_9$ | 0.598 | 0.7613 | 0.7855 | [X:[], M:[1.0, 1.0775, 0.845, 0.6938, 0.7675, 1.155, 1.2325, 1.0775, 0.845], q:[0.7694, 0.2306], qb:[0.6144, 0.5407], phi:[0.4612]] | t^2.08 + t^2.31 + 2*t^2.53 + t^3. + 2*t^3.23 + t^3.7 + t^3.93 + t^4.15 + t^4.16 + t^4.4 + 2*t^4.62 + 2*t^4.63 + 2*t^4.85 + 3*t^5.07 + t^5.08 + 3*t^5.31 + 2*t^5.53 + 2*t^5.55 + 3*t^5.77 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
5785 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ + $ M_8\phi_1q_2^2$ + $ M_7M_9$ | 0.6028 | 0.7709 | 0.7819 | [X:[], M:[1.0, 1.0774, 0.8451, 0.6936, 0.7677, 1.1549, 1.2323, 1.0774, 0.7677], q:[0.7694, 0.2306], qb:[0.6145, 0.5404], phi:[0.4613]] | t^2.08 + t^2.3 + t^2.31 + t^2.54 + t^3. + 2*t^3.23 + t^3.46 + t^3.93 + t^4.15 + t^4.16 + t^4.38 + t^4.39 + t^4.61 + 2*t^4.62 + 2*t^4.63 + t^4.84 + t^4.85 + t^5.07 + t^5.08 + t^5.3 + 3*t^5.31 + 3*t^5.54 + 3*t^5.55 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
2344 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ | 0.5917 | 0.7509 | 0.788 | [X:[], M:[1.0, 1.0756, 0.8489, 0.6889, 0.7733, 1.1511, 1.2267], q:[0.7689, 0.2311], qb:[0.6178, 0.5334], phi:[0.4622]] | t^2.07 + t^2.29 + t^2.55 + t^2.77 + t^3. + t^3.23 + t^3.45 + t^3.68 + t^3.91 + t^4.13 + t^4.16 + t^4.36 + 2*t^4.59 + t^4.61 + 2*t^4.84 + 2*t^5.07 + t^5.09 + 2*t^5.29 + t^5.32 + 2*t^5.52 + 2*t^5.55 + t^5.75 + t^5.77 + 2*t^5.97 - t^6. - t^4.39/y - t^4.39*y | detail |