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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[], M:[[0], [4], [-8], [10], [-12], [8], [12]], 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$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ 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$, $ M_4\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4M_6$, $ M_2q_2\tilde{q}_2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_6q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_2$ | . | -1 | 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. + 2*t^6.2 + 2*t^6.23 - t^6.25 + t^6.43 + 3*t^6.45 - t^6.48 + 2*t^6.65 + 2*t^6.68 + 2*t^6.88 + 3*t^6.91 - t^6.93 + 4*t^7.13 + 5*t^7.36 + 4*t^7.59 + t^7.61 + 3*t^7.81 + 2*t^7.84 + 3*t^8.04 + t^8.09 + 4*t^8.27 + t^8.32 + 3*t^8.49 + 2*t^8.52 - 3*t^8.55 + 2*t^8.72 + 5*t^8.75 - 3*t^8.77 + 2*t^8.95 + 3*t^8.97 - t^4.39/y - t^6.45/y + t^7.36/y + t^7.61/y + (2*t^7.84)/y + (2*t^8.07)/y + (2*t^8.29)/y + (2*t^8.32)/y + t^8.52/y + t^8.55/y + (2*t^8.75)/y + (2*t^8.77)/y + (2*t^8.97)/y - t^4.39*y - t^6.45*y + t^7.36*y + t^7.61*y + 2*t^7.84*y + 2*t^8.07*y + 2*t^8.29*y + 2*t^8.32*y + t^8.52*y + t^8.55*y + 2*t^8.75*y + 2*t^8.77*y + 2*t^8.97*y | g1^10*t^2.07 + g1^14*t^2.29 + t^2.55/g1^8 + t^2.77/g1^4 + t^3. + g1^4*t^3.23 + g1^8*t^3.45 + g1^12*t^3.68 + g1^16*t^3.91 + g1^20*t^4.13 + t^4.16/g1^6 + g1^24*t^4.36 + 2*g1^28*t^4.59 + g1^2*t^4.61 + 2*g1^6*t^4.84 + 2*g1^10*t^5.07 + t^5.09/g1^16 + 2*g1^14*t^5.29 + t^5.32/g1^12 + 2*g1^18*t^5.52 + (2*t^5.55)/g1^8 + g1^22*t^5.75 + t^5.77/g1^4 + 2*g1^26*t^5.97 - t^6. + 2*g1^30*t^6.2 + 2*g1^4*t^6.23 - t^6.25/g1^22 + g1^34*t^6.43 + 3*g1^8*t^6.45 - t^6.48/g1^18 + 2*g1^38*t^6.65 + 2*g1^12*t^6.68 + 2*g1^42*t^6.88 + 3*g1^16*t^6.91 - t^6.93/g1^10 + 4*g1^20*t^7.13 + 5*g1^24*t^7.36 + 4*g1^28*t^7.59 + g1^2*t^7.61 + 3*g1^32*t^7.81 + 2*g1^6*t^7.84 + 3*g1^36*t^8.04 + t^8.09/g1^16 + 4*g1^40*t^8.27 + t^8.32/g1^12 + 3*g1^44*t^8.49 + 2*g1^18*t^8.52 - (3*t^8.55)/g1^8 + 2*g1^48*t^8.72 + 5*g1^22*t^8.75 - (3*t^8.77)/g1^4 + 2*g1^52*t^8.95 + 3*g1^26*t^8.97 - t^4.39/(g1^2*y) - (g1^8*t^6.45)/y + (g1^24*t^7.36)/y + (g1^2*t^7.61)/y + (2*g1^6*t^7.84)/y + (2*g1^10*t^8.07)/y + (2*g1^14*t^8.29)/y + (2*t^8.32)/(g1^12*y) + (g1^18*t^8.52)/y + t^8.55/(g1^8*y) + (2*g1^22*t^8.75)/y + (2*t^8.77)/(g1^4*y) + (2*g1^26*t^8.97)/y - (t^4.39*y)/g1^2 - g1^8*t^6.45*y + g1^24*t^7.36*y + g1^2*t^7.61*y + 2*g1^6*t^7.84*y + 2*g1^10*t^8.07*y + 2*g1^14*t^8.29*y + (2*t^8.32*y)/g1^12 + g1^18*t^8.52*y + (t^8.55*y)/g1^8 + 2*g1^22*t^8.75*y + (2*t^8.77*y)/g1^4 + 2*g1^26*t^8.97*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 |
---|---|---|---|---|---|---|---|---|
4336 | $M_1q_1q_2$ + $ 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_6M_8$ | 0.6053 | 0.7727 | 0.7834 | [X:[], M:[1.0, 1.0804, 0.8392, 0.701, 0.7588, 1.1608, 1.2412, 0.8392], q:[0.7701, 0.2299], qb:[0.6093, 0.5515], phi:[0.4598]] | t^2.1 + t^2.34 + 2*t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.72 + t^3.96 + t^4.14 + t^4.21 + t^4.45 + 2*t^4.62 + 2*t^4.69 + 3*t^4.86 + 3*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + t^5.59 + 2*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
4335 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
1298 | 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$ | 0.61 | 0.7825 | 0.7796 | [X:[], M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | t^2.1 + t^2.28 + t^2.34 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^3.96 + t^4.14 + t^4.2 + t^4.38 + t^4.44 + t^4.56 + 2*t^4.62 + 2*t^4.68 + t^4.8 + 2*t^4.86 + 2*t^5.04 + 2*t^5.1 + 2*t^5.28 + 2*t^5.34 + 3*t^5.52 + 2*t^5.58 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y | detail |