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 |
---|---|---|---|---|---|---|---|---|---|
55269 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ | 0.5709 | 0.6949 | 0.8216 | [X:[1.4103], M:[1.1795, 0.9829, 0.8205, 0.5897, 1.0171, 0.9829], q:[0.2949, 0.5257], qb:[0.7222, 0.8846], phi:[0.3932]] | [X:[[6]], M:[[-12], [-10], [12], [-6], [10], [-10]], q:[[-3], [15]], qb:[[13], [-9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_3$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_1\phi_1^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.36 + t^2.46 + 2*t^2.95 + t^3.54 + t^3.64 + t^3.74 + t^4.23 + t^4.33 + t^4.72 + 2*t^4.82 + t^4.92 + t^5.31 + t^5.41 + 3*t^5.9 - t^6. + t^6.1 + t^6.21 + t^6.49 + 2*t^6.69 + t^6.79 + t^7.08 + 2*t^7.18 + 2*t^7.28 + t^7.38 + t^7.49 + t^7.67 + t^7.77 + t^7.97 + t^8.08 + t^8.26 - t^8.46 + 2*t^8.56 + 2*t^8.67 + 3*t^8.85 - 4*t^8.95 - t^4.18/y - t^6.54/y - t^7.13/y + t^7.23/y + (2*t^7.82)/y + (2*t^8.31)/y + (2*t^8.41)/y + t^8.9/y - t^4.18*y - t^6.54*y - t^7.13*y + t^7.23*y + 2*t^7.82*y + 2*t^8.31*y + 2*t^8.41*y + t^8.9*y | t^2.36/g1^8 + g1^12*t^2.46 + (2*t^2.95)/g1^10 + t^3.54/g1^12 + g1^8*t^3.64 + g1^28*t^3.74 + g1^6*t^4.23 + g1^26*t^4.33 + t^4.72/g1^16 + 2*g1^4*t^4.82 + g1^24*t^4.92 + t^5.31/g1^18 + g1^2*t^5.41 + (3*t^5.9)/g1^20 - t^6. + g1^20*t^6.1 + g1^40*t^6.21 + t^6.49/g1^22 + 2*g1^18*t^6.69 + g1^38*t^6.79 + t^7.08/g1^24 + (2*t^7.18)/g1^4 + 2*g1^16*t^7.28 + g1^36*t^7.38 + g1^56*t^7.49 + t^7.67/g1^26 + t^7.77/g1^6 + g1^34*t^7.97 + g1^54*t^8.08 + t^8.26/g1^28 - g1^12*t^8.46 + 2*g1^32*t^8.56 + 2*g1^52*t^8.67 + (3*t^8.85)/g1^30 - (4*t^8.95)/g1^10 - t^4.18/(g1^4*y) - t^6.54/(g1^12*y) - t^7.13/(g1^14*y) + (g1^6*t^7.23)/y + (2*g1^4*t^7.82)/y + (2*t^8.31)/(g1^18*y) + (2*g1^2*t^8.41)/y + t^8.9/(g1^20*y) - (t^4.18*y)/g1^4 - (t^6.54*y)/g1^12 - (t^7.13*y)/g1^14 + g1^6*t^7.23*y + 2*g1^4*t^7.82*y + (2*t^8.31*y)/g1^18 + 2*g1^2*t^8.41*y + (t^8.9*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
56924 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ + $ M_7q_2\tilde{q}_1$ | 0.5906 | 0.7314 | 0.8075 | [X:[1.4176], M:[1.1649, 0.9707, 0.8351, 0.5824, 1.0293, 0.9707, 0.7181], q:[0.2912, 0.5439], qb:[0.738, 0.8737], phi:[0.3883]] | t^2.15 + t^2.33 + t^2.51 + 2*t^2.91 + t^3.49 + t^3.67 + t^4.25 + t^4.31 + t^4.43 + t^4.48 + 2*t^4.66 + 2*t^4.84 + t^5.01 + 2*t^5.07 + t^5.24 + t^5.42 + t^5.65 + 4*t^5.82 - t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
46915 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | t^2.39 + t^2.41 + t^2.99 + t^3.01 + t^3.59 + t^3.61 + t^3.62 + t^4.2 + t^4.22 + t^4.79 + 2*t^4.8 + t^4.82 + t^5.4 + t^5.42 + t^5.99 - t^4.2/y - t^4.2*y | detail |