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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2243 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ | 0.6679 | 0.8375 | 0.7975 | [X:[], M:[1.1174, 0.7277, 0.8826, 0.8826, 1.2207, 0.7277, 0.6761], q:[0.8052, 0.5188], qb:[0.3639, 0.7535], phi:[0.3897]] | [X:[], M:[[16], [14], [-16], [-16], [-4], [14], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_2$, $ M_6$, $ M_3$, $ M_4$, $ M_1$, $ q_1\tilde{q}_1$, $ M_5$, $ M_7^2$, $ M_2M_7$, $ M_6M_7$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_7$, $ M_4M_7$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_6$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_7$, $ M_1M_2$, $ M_1M_6$, $ M_7q_1\tilde{q}_1$, $ M_5M_7$, $ M_2q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_5M_6$ | . | -2 | t^2.03 + 2*t^2.18 + 2*t^2.65 + t^3.35 + t^3.51 + t^3.66 + t^4.06 + 2*t^4.21 + t^4.28 + 3*t^4.37 + t^4.52 + 3*t^4.68 + 3*t^4.83 + t^4.99 + 2*t^5.3 + t^5.38 + 2*t^5.54 + 4*t^5.69 + t^5.85 - 2*t^6. + t^6.08 + t^6.15 + 2*t^6.24 + 2*t^6.31 + 3*t^6.39 + 5*t^6.55 + 4*t^6.7 + 5*t^6.86 + 2*t^6.93 + 5*t^7.01 + t^7.17 + 2*t^7.32 + t^7.41 + 2*t^7.48 + 2*t^7.56 + 5*t^7.72 + 6*t^7.87 + 2*t^7.94 + t^8.11 - 4*t^8.18 + 2*t^8.27 + 3*t^8.34 + 3*t^8.42 - t^8.49 + t^8.56 + 5*t^8.58 - 5*t^8.65 + 9*t^8.73 + 6*t^8.89 + 2*t^8.96 - t^4.17/y - t^6.2/y - (2*t^6.35)/y - t^6.82/y + (2*t^7.21)/y + t^7.37/y + t^7.52/y + (2*t^7.68)/y + (4*t^7.83)/y + (2*t^7.99)/y + t^8.14/y - t^8.23/y + t^8.3/y - t^8.38/y + (3*t^8.69)/y + t^8.85/y - t^4.17*y - t^6.2*y - 2*t^6.35*y - t^6.82*y + 2*t^7.21*y + t^7.37*y + t^7.52*y + 2*t^7.68*y + 4*t^7.83*y + 2*t^7.99*y + t^8.14*y - t^8.23*y + t^8.3*y - t^8.38*y + 3*t^8.69*y + t^8.85*y | g1^24*t^2.03 + 2*g1^14*t^2.18 + (2*t^2.65)/g1^16 + g1^16*t^3.35 + g1^6*t^3.51 + t^3.66/g1^4 + g1^48*t^4.06 + 2*g1^38*t^4.21 + t^4.28/g1^44 + 3*g1^28*t^4.37 + g1^18*t^4.52 + 3*g1^8*t^4.68 + (3*t^4.83)/g1^2 + t^4.99/g1^12 + (2*t^5.3)/g1^32 + g1^40*t^5.38 + 2*g1^30*t^5.54 + 4*g1^20*t^5.69 + g1^10*t^5.85 - 2*t^6. + g1^72*t^6.08 + t^6.15/g1^10 + 2*g1^62*t^6.24 + (2*t^6.31)/g1^20 + 3*g1^52*t^6.39 + 5*g1^42*t^6.55 + 4*g1^32*t^6.7 + 5*g1^22*t^6.86 + (2*t^6.93)/g1^60 + 5*g1^12*t^7.01 + g1^2*t^7.17 + (2*t^7.32)/g1^8 + g1^64*t^7.41 + (2*t^7.48)/g1^18 + 2*g1^54*t^7.56 + 5*g1^44*t^7.72 + 6*g1^34*t^7.87 + (2*t^7.94)/g1^48 + g1^96*t^8.11 - 4*g1^14*t^8.18 + 2*g1^86*t^8.27 + 3*g1^4*t^8.34 + 3*g1^76*t^8.42 - t^8.49/g1^6 + t^8.56/g1^88 + 5*g1^66*t^8.58 - (5*t^8.65)/g1^16 + 9*g1^56*t^8.73 + 6*g1^46*t^8.89 + (2*t^8.96)/g1^36 - (g1^2*t^4.17)/y - (g1^26*t^6.2)/y - (2*g1^16*t^6.35)/y - t^6.82/(g1^14*y) + (2*g1^38*t^7.21)/y + (g1^28*t^7.37)/y + (g1^18*t^7.52)/y + (2*g1^8*t^7.68)/y + (4*t^7.83)/(g1^2*y) + (2*t^7.99)/(g1^12*y) + t^8.14/(g1^22*y) - (g1^50*t^8.23)/y + t^8.3/(g1^32*y) - (g1^40*t^8.38)/y + (3*g1^20*t^8.69)/y + (g1^10*t^8.85)/y - g1^2*t^4.17*y - g1^26*t^6.2*y - 2*g1^16*t^6.35*y - (t^6.82*y)/g1^14 + 2*g1^38*t^7.21*y + g1^28*t^7.37*y + g1^18*t^7.52*y + 2*g1^8*t^7.68*y + (4*t^7.83*y)/g1^2 + (2*t^7.99*y)/g1^12 + (t^8.14*y)/g1^22 - g1^50*t^8.23*y + (t^8.3*y)/g1^32 - g1^40*t^8.38*y + 3*g1^20*t^8.69*y + g1^10*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
4239 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ + $ M_1M_8$ | 0.679 | 0.8556 | 0.7936 | [X:[], M:[1.1302, 0.7389, 0.8698, 0.8698, 1.2175, 0.7389, 0.6953, 0.8698], q:[0.8044, 0.5004], qb:[0.3695, 0.7607], phi:[0.3913]] | t^2.09 + 2*t^2.22 + 3*t^2.61 + t^3.52 + t^3.65 + t^4.17 + t^4.18 + 2*t^4.3 + 3*t^4.43 + t^4.56 + 4*t^4.7 + 5*t^4.83 + t^4.96 + 5*t^5.22 + 4*t^5.74 + t^5.87 - 4*t^6. - t^4.17/y - t^4.17*y | detail | |
4240 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.6824 | 0.8623 | 0.7914 | [X:[], M:[1.1216, 0.7314, 0.8784, 0.8784, 1.2196, 0.7314, 0.6824, 0.8294], q:[0.8049, 0.5127], qb:[0.3657, 0.7559], phi:[0.3902]] | t^2.05 + 2*t^2.19 + t^2.49 + 2*t^2.64 + t^3.36 + t^3.66 + t^4.09 + 2*t^4.24 + t^4.25 + 3*t^4.39 + 2*t^4.54 + 5*t^4.68 + 3*t^4.83 + 2*t^4.98 + 2*t^5.12 + 2*t^5.27 + t^5.41 + t^5.56 + 2*t^5.71 + 2*t^5.85 - 2*t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
1194 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6471 | 0.7965 | 0.8125 | [X:[], M:[1.119, 0.7291, 0.881, 0.881, 1.2203, 0.7291], q:[0.8051, 0.5165], qb:[0.3645, 0.7544], phi:[0.3899]] | 2*t^2.19 + 2*t^2.64 + t^3.36 + t^3.51 + t^3.66 + t^3.96 + t^4.27 + 3*t^4.37 + t^4.53 + t^4.68 + 3*t^4.83 + t^4.98 + 2*t^5.29 + t^5.54 + 3*t^5.7 + t^5.85 - 2*t^6. - t^4.17/y - t^4.17*y | detail |