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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709 | 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_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6779 | 0.8345 | 0.8124 | [X:[], M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]] | [X:[], M:[[32], [-12], [22], [12], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_1^2$ | . | -2 | t^2.26 + 2*t^2.61 + t^2.79 + t^2.97 + t^3.56 + t^3.74 + t^3.92 + t^4.1 + t^4.16 + t^4.34 + 2*t^4.52 + 2*t^4.87 + t^4.94 + t^5.05 + 4*t^5.23 + t^5.4 + 2*t^5.58 + t^5.76 + t^5.93 - 2*t^6. + t^6.18 + 3*t^6.35 + 3*t^6.53 + 3*t^6.71 + 2*t^6.77 + t^6.89 + t^6.95 + t^7.06 + 3*t^7.13 + t^7.19 + t^7.31 + 4*t^7.48 + t^7.55 + 2*t^7.66 + 7*t^7.84 + 3*t^8.02 + t^8.08 + 4*t^8.19 - 2*t^8.26 + 2*t^8.37 - t^8.44 + t^8.5 + 2*t^8.55 - 3*t^8.61 + t^8.68 + t^8.72 - t^8.79 + t^8.9 + t^8.97 - t^4.31/y - t^6.56/y - t^6.92/y - t^7.1/y - t^7.27/y + t^7.34/y + t^7.52/y + t^7.69/y + (2*t^7.87)/y + (2*t^8.05)/y + (2*t^8.23)/y + (2*t^8.4)/y + (2*t^8.58)/y + t^8.76/y - t^4.31*y - t^6.56*y - t^6.92*y - t^7.1*y - t^7.27*y + t^7.34*y + t^7.52*y + t^7.69*y + 2*t^7.87*y + 2*t^8.05*y + 2*t^8.23*y + 2*t^8.4*y + 2*t^8.58*y + t^8.76*y | t^2.26/g1^8 + 2*g1^12*t^2.61 + g1^22*t^2.79 + g1^32*t^2.97 + t^3.56/g1^2 + g1^8*t^3.74 + g1^18*t^3.92 + g1^28*t^4.1 + t^4.16/g1^36 + t^4.34/g1^26 + (2*t^4.52)/g1^16 + 2*g1^4*t^4.87 + t^4.94/g1^60 + g1^14*t^5.05 + 4*g1^24*t^5.23 + g1^34*t^5.4 + 2*g1^44*t^5.58 + g1^54*t^5.76 + g1^64*t^5.93 - 2*t^6. + g1^10*t^6.18 + 3*g1^20*t^6.35 + 3*g1^30*t^6.53 + 3*g1^40*t^6.71 + (2*t^6.77)/g1^24 + g1^50*t^6.89 + t^6.95/g1^14 + g1^60*t^7.06 + (3*t^7.13)/g1^4 + t^7.19/g1^68 + g1^6*t^7.31 + 4*g1^16*t^7.48 + t^7.55/g1^48 + 2*g1^26*t^7.66 + 7*g1^36*t^7.84 + 3*g1^46*t^8.02 + t^8.08/g1^18 + 4*g1^56*t^8.19 - (2*t^8.26)/g1^8 + 2*g1^66*t^8.37 - g1^2*t^8.44 + t^8.5/g1^62 + 2*g1^76*t^8.55 - 3*g1^12*t^8.61 + t^8.68/g1^52 + g1^86*t^8.72 - g1^22*t^8.79 + g1^96*t^8.9 + g1^32*t^8.97 - (g1^6*t^4.31)/y - t^6.56/(g1^2*y) - (g1^18*t^6.92)/y - (g1^28*t^7.1)/y - (g1^38*t^7.27)/y + t^7.34/(g1^26*y) + t^7.52/(g1^16*y) + t^7.69/(g1^6*y) + (2*g1^4*t^7.87)/y + (2*g1^14*t^8.05)/y + (2*g1^24*t^8.23)/y + (2*g1^34*t^8.4)/y + (2*g1^44*t^8.58)/y + (g1^54*t^8.76)/y - g1^6*t^4.31*y - (t^6.56*y)/g1^2 - g1^18*t^6.92*y - g1^28*t^7.1*y - g1^38*t^7.27*y + (t^7.34*y)/g1^26 + (t^7.52*y)/g1^16 + (t^7.69*y)/g1^6 + 2*g1^4*t^7.87*y + 2*g1^14*t^8.05*y + 2*g1^24*t^8.23*y + 2*g1^34*t^8.4*y + 2*g1^44*t^8.58*y + g1^54*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
1157 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ | 0.6758 | 0.8309 | 0.8133 | [X:[], M:[1.037, 1.1111, 0.963, 0.8889, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.22 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + 2*t^4.89 + t^5.11 + 4*t^5.33 + t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 23647/34992, c: 14537/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 8/9, M5: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
1158 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6792 | 0.8367 | 0.8118 | [X:[], M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], phi:[0.4447]] | t^2.22 + 2*t^2.67 + t^2.88 + t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.23 + 2*t^4.44 + t^4.66 + 2*t^4.89 + 2*t^5.11 + 3*t^5.34 + 2*t^5.55 + t^5.56 + t^5.77 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
1159 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6969 | 0.8688 | 0.8021 | [X:[], M:[0.9948, 1.127, 0.9339, 0.873, 0.7513, 0.7513], q:[0.7817, 0.4061], qb:[0.5992, 0.4669], phi:[0.4365]] | 2*t^2.25 + 2*t^2.62 + t^2.8 + t^2.98 + t^3.56 + t^3.93 + t^4.11 + t^4.14 + t^4.33 + 4*t^4.51 + 4*t^4.87 + t^4.9 + 2*t^5.06 + 5*t^5.24 + t^5.42 + 2*t^5.6 + t^5.79 + t^5.82 + t^5.97 - 3*t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
424 | 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_2\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ | 0.6815 | 0.8422 | 0.8091 | [X:[], M:[0.9604, 1.1268, 0.9689, 0.8732, 0.6818], q:[0.7817, 0.4408], qb:[0.5988, 0.4324], phi:[0.4366]] | t^2.05 + 2*t^2.62 + t^2.88 + t^2.91 + t^3.64 + t^3.67 + t^3.9 + t^3.93 + t^4.09 + t^4.14 + t^4.4 + t^4.43 + 2*t^4.66 + t^4.9 + t^4.93 + t^4.95 + 3*t^5.24 + t^5.5 + t^5.53 + t^5.69 + t^5.71 + t^5.76 + t^5.79 + t^5.81 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail |