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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46386 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.6202 | 0.7595 | 0.8166 | [X:[1.6143], M:[0.3857, 0.6998, 1.1571, 0.8429], q:[0.8429, 0.7714], qb:[0.4573, 0.3857], phi:[0.3857]] | [X:[[1]], M:[[-1], [-7], [-3], [3]], q:[[3], [-2]], qb:[[4], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $M_2\phi_1\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | 1 | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + 3*t^3.69 + t^3.9 + t^4.2 + t^4.41 + 2*t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + 3*t^5.79 + t^6. + 2*t^6.21 + t^6.3 + t^6.43 + t^6.51 + 2*t^6.73 + 4*t^6.94 + 3*t^7.16 + 3*t^7.37 + 2*t^7.59 + 2*t^7.67 + t^7.8 + 3*t^7.88 + t^8.1 + t^8.31 + t^8.4 - t^8.53 + t^8.61 + t^8.74 + 2*t^8.83 + t^8.96 - t^4.16/y - t^6.26/y - t^6.47/y + t^7.41/y + t^7.63/y + (2*t^7.84)/y + t^8.06/y - t^8.36/y + t^8.57/y + (4*t^8.79)/y - t^4.16*y - t^6.26*y - t^6.47*y + t^7.41*y + t^7.63*y + 2*t^7.84*y + t^8.06*y - t^8.36*y + t^8.57*y + 4*t^8.79*y | t^2.1/g1^7 + t^2.31/g1^2 + g1^3*t^2.53 + (2*t^3.47)/g1^3 + 3*g1^2*t^3.69 + g1^7*t^3.9 + t^4.2/g1^14 + t^4.41/g1^9 + (2*t^4.63)/g1^4 + 2*g1*t^4.84 + g1^6*t^5.06 + (2*t^5.57)/g1^10 + (3*t^5.79)/g1^5 + t^6. + 2*g1^5*t^6.21 + t^6.3/g1^21 + g1^10*t^6.43 + t^6.51/g1^16 + (2*t^6.73)/g1^11 + (4*t^6.94)/g1^6 + (3*t^7.16)/g1 + 3*g1^4*t^7.37 + 2*g1^9*t^7.59 + (2*t^7.67)/g1^17 + g1^14*t^7.8 + (3*t^7.88)/g1^12 + t^8.1/g1^7 + t^8.31/g1^2 + t^8.4/g1^28 - g1^3*t^8.53 + t^8.61/g1^23 + g1^8*t^8.74 + (2*t^8.83)/g1^18 + g1^13*t^8.96 - t^4.16/(g1*y) - t^6.26/(g1^8*y) - t^6.47/(g1^3*y) + t^7.41/(g1^9*y) + t^7.63/(g1^4*y) + (2*g1*t^7.84)/y + (g1^6*t^8.06)/y - t^8.36/(g1^15*y) + t^8.57/(g1^10*y) + (4*t^8.79)/(g1^5*y) - (t^4.16*y)/g1 - (t^6.26*y)/g1^8 - (t^6.47*y)/g1^3 + (t^7.41*y)/g1^9 + (t^7.63*y)/g1^4 + 2*g1*t^7.84*y + g1^6*t^8.06*y - (t^8.36*y)/g1^15 + (t^8.57*y)/g1^10 + (4*t^8.79*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
47056 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_2^2$ | 0.5625 | 0.6964 | 0.8077 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143], q:[0.7143, 0.8571], qb:[0.2857, 0.4286], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + 3*t^5.14 + 3*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 9/16, c: 39/56, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, q1: 5/7, q2: 6/7, qb1: 2/7, qb2: 3/7, phi1: 3/7} |
48271 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6408 | 0.7997 | 0.8014 | [X:[1.6157], M:[0.3843, 0.6904, 1.153, 0.847, 0.6904], q:[0.847, 0.7687], qb:[0.4626, 0.3843], phi:[0.3843]] | 2*t^2.07 + t^2.31 + t^2.54 + 2*t^3.46 + 3*t^3.69 + 3*t^4.14 + 2*t^4.38 + 3*t^4.61 + 2*t^4.85 + t^5.08 + 4*t^5.53 + 6*t^5.77 - 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 |
---|---|---|---|---|---|---|---|---|---|
46187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.3838, 0.6865, 1.1513, 0.8487], q:[0.8689, 0.7473], qb:[0.4446, 0.4041], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |