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 |
---|---|---|---|---|---|---|---|---|---|
1884 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.6183 | 0.7529 | 0.8212 | [X:[1.6154], M:[0.7932, 1.2309, 0.745, 1.1537, 0.3846, 0.8463], q:[0.4497, 0.757], qb:[0.3966, 0.8584], phi:[0.3846]] | [X:[[0, 1]], M:[[2, -8], [0, 2], [-2, 4], [0, -3], [0, -1], [0, 3]], q:[[-1, 7], [-1, 1]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ M_6$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_3M_6$, $ \phi_1q_1q_2$, $ X_1$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_3$ | . | -2 | t^2.23 + t^2.38 + t^2.54 + t^3.46 + t^3.53 + 2*t^3.69 + t^3.85 + t^3.92 + t^4.47 + t^4.61 + t^4.76 + t^4.77 + t^4.85 + t^4.92 + t^5.08 + t^5.7 + t^5.91 + t^5.93 - 2*t^6. + 2*t^6.07 + t^6.09 + 2*t^6.23 + t^6.3 + t^6.39 + t^6.46 + t^6.7 + t^6.85 + t^6.99 + t^7.01 + t^7.07 + t^7.14 + t^7.23 + t^7.3 + 2*t^7.39 + t^7.46 + t^7.54 + 2*t^7.62 + t^7.7 + t^7.78 + t^7.85 + t^7.93 + t^8.16 - 2*t^8.23 + t^8.29 + t^8.31 + t^8.32 - 3*t^8.38 + 2*t^8.45 - 2*t^8.54 + t^8.61 + t^8.63 + t^8.68 + 2*t^8.77 + t^8.84 + t^8.93 + t^8.94 - t^4.15/y - t^6.39/y - t^6.53/y + t^7.61/y + (2*t^7.77)/y + (2*t^7.92)/y - t^8.62/y + t^8.7/y + t^8.84/y + (2*t^8.93)/y - t^4.15*y - t^6.39*y - t^6.53*y + t^7.61*y + 2*t^7.77*y + 2*t^7.92*y - t^8.62*y + t^8.7*y + t^8.84*y + 2*t^8.93*y | (g2^4*t^2.23)/g1^2 + (g1^2*t^2.38)/g2^8 + g2^3*t^2.54 + t^3.46/g2^3 + (g1^2*t^3.53)/g2^9 + 2*g2^2*t^3.69 + (g2^13*t^3.85)/g1^2 + g2^7*t^3.92 + (g2^8*t^4.47)/g1^4 + t^4.61/g2^4 + (g1^4*t^4.76)/g2^16 + (g2^7*t^4.77)/g1^2 + g2*t^4.85 + (g1^2*t^4.92)/g2^5 + g2^6*t^5.08 + (g2*t^5.7)/g1^2 + (g1^4*t^5.91)/g2^17 + (g2^6*t^5.93)/g1^2 - 2*t^6. + (2*g1^2*t^6.07)/g2^6 + (g2^17*t^6.09)/g1^4 + 2*g2^5*t^6.23 + (g1^2*t^6.3)/g2 + (g2^16*t^6.39)/g1^2 + g2^10*t^6.46 + (g2^12*t^6.7)/g1^6 + t^6.85/g1^2 + (g1^2*t^6.99)/g2^12 + (g2^11*t^7.01)/g1^4 + (g1^4*t^7.07)/g2^18 + (g1^6*t^7.14)/g2^24 + (g1^2*t^7.23)/g2^7 + (g1^4*t^7.3)/g2^13 + 2*g2^4*t^7.39 + (g1^2*t^7.46)/g2^2 + (g2^15*t^7.54)/g1^2 + 2*g2^9*t^7.62 + (g2^26*t^7.7)/g1^4 + (g2^20*t^7.78)/g1^2 + g2^14*t^7.85 + (g2^5*t^7.93)/g1^4 + (g2^10*t^8.16)/g1^4 - (2*g2^4*t^8.23)/g1^2 + (g1^6*t^8.29)/g2^25 + t^8.31/g2^2 + (g2^21*t^8.32)/g1^6 - (3*g1^2*t^8.38)/g2^8 + (2*g1^4*t^8.45)/g2^14 - 2*g2^3*t^8.54 + (g1^2*t^8.61)/g2^3 + (g2^20*t^8.63)/g1^4 + (g1^4*t^8.68)/g2^9 + 2*g2^8*t^8.77 + g1^2*g2^2*t^8.84 + (g2^19*t^8.93)/g1^2 + (g2^16*t^8.94)/g1^8 - t^4.15/(g2*y) - (g2^3*t^6.39)/(g1^2*y) - (g1^2*t^6.53)/(g2^9*y) + t^7.61/(g2^4*y) + (2*g2^7*t^7.77)/(g1^2*y) + (2*g1^2*t^7.92)/(g2^5*y) - (g2^7*t^8.62)/(g1^4*y) + (g2*t^8.7)/(g1^2*y) + (g1^2*t^8.84)/(g2^11*y) + (2*g2^6*t^8.93)/(g1^2*y) - (t^4.15*y)/g2 - (g2^3*t^6.39*y)/g1^2 - (g1^2*t^6.53*y)/g2^9 + (t^7.61*y)/g2^4 + (2*g2^7*t^7.77*y)/g1^2 + (2*g1^2*t^7.92*y)/g2^5 - (g2^7*t^8.62*y)/g1^4 + (g2*t^8.7*y)/g1^2 + (g1^2*t^8.84*y)/g2^11 + (2*g2^6*t^8.93*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2901 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6181 | 0.7529 | 0.821 | [X:[1.6147], M:[0.8073, 1.2294, 0.7339, 1.1559, 0.3853, 0.8441], q:[0.4404, 0.7522], qb:[0.4037, 0.8625], phi:[0.3853]] | t^2.2 + t^2.42 + t^2.53 + t^3.47 + t^3.58 + 2*t^3.69 + t^3.8 + t^3.91 + t^4.4 + t^4.62 + t^4.73 + 2*t^4.84 + t^4.95 + t^5.06 + t^5.67 + t^5.89 - t^4.16/y - t^4.16*y | detail | |
2902 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
535 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |