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 |
---|---|---|---|---|---|---|---|---|---|
46718 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ | 0.6343 | 0.7825 | 0.8106 | [X:[], M:[0.8386, 0.7904, 1.2096, 0.8867], q:[0.7422, 0.4193], qb:[0.7904, 0.3711], phi:[0.4193]] | [X:[], M:[[-4], [1], [-1], [-9]], q:[[6], [-2]], qb:[[1], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$ | $M_2\phi_1q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$ | 2 | t^2.37 + 2*t^2.52 + t^2.66 + 2*t^3.48 + 2*t^3.63 + t^3.77 + 2*t^4.6 + 2*t^4.74 + t^4.89 + 3*t^5.03 + 2*t^5.18 + t^5.32 + t^5.71 + t^5.86 + 2*t^6. + 3*t^6.14 + 3*t^6.29 + t^6.43 + t^6.97 + 3*t^7.11 + 4*t^7.26 + 3*t^7.4 + 5*t^7.55 + 3*t^7.69 + 2*t^7.84 + t^7.98 + 2*t^8.08 + 3*t^8.23 - t^8.37 + t^8.66 + 3*t^8.8 + 3*t^8.95 - t^4.26/y - (2*t^6.77)/y - t^6.92/y + t^7.6/y + (2*t^7.74)/y + (2*t^7.89)/y + (2*t^8.03)/y + (2*t^8.18)/y + (2*t^8.86)/y - t^4.26*y - 2*t^6.77*y - t^6.92*y + t^7.6*y + 2*t^7.74*y + 2*t^7.89*y + 2*t^8.03*y + 2*t^8.18*y + 2*t^8.86*y | g1*t^2.37 + (2*t^2.52)/g1^4 + t^2.66/g1^9 + 2*g1^4*t^3.48 + (2*t^3.63)/g1 + t^3.77/g1^6 + 2*g1^7*t^4.6 + 2*g1^2*t^4.74 + t^4.89/g1^3 + (3*t^5.03)/g1^8 + (2*t^5.18)/g1^13 + t^5.32/g1^18 + g1^10*t^5.71 + g1^5*t^5.86 + 2*t^6. + (3*t^6.14)/g1^5 + (3*t^6.29)/g1^10 + t^6.43/g1^15 + g1^8*t^6.97 + 3*g1^3*t^7.11 + (4*t^7.26)/g1^2 + (3*t^7.4)/g1^7 + (5*t^7.55)/g1^12 + (3*t^7.69)/g1^17 + (2*t^7.84)/g1^22 + t^7.98/g1^27 + 2*g1^11*t^8.08 + 3*g1^6*t^8.23 - g1*t^8.37 + t^8.66/g1^9 + (3*t^8.8)/g1^14 + (3*t^8.95)/g1^19 - t^4.26/(g1^2*y) - (2*t^6.77)/(g1^6*y) - t^6.92/(g1^11*y) + (g1^7*t^7.6)/y + (2*g1^2*t^7.74)/y + (2*t^7.89)/(g1^3*y) + (2*t^8.03)/(g1^8*y) + (2*t^8.18)/(g1^13*y) + (2*g1^5*t^8.86)/y - (t^4.26*y)/g1^2 - (2*t^6.77*y)/g1^6 - (t^6.92*y)/g1^11 + g1^7*t^7.6*y + 2*g1^2*t^7.74*y + (2*t^7.89*y)/g1^3 + (2*t^8.03*y)/g1^8 + (2*t^8.18*y)/g1^13 + 2*g1^5*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
46998 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_4\phi_1^2$ | 0.615 | 0.7592 | 0.81 | [X:[], M:[0.9231, 0.7692, 1.2308, 1.0769], q:[0.6154, 0.4615], qb:[0.7692, 0.3077], phi:[0.4615]] | t^2.31 + 2*t^2.77 + 3*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 2*t^5.08 + 4*t^5.54 + 4*t^6. - t^4.38/y - t^4.38*y | detail | {a: 10809/17576, c: 1668/2197, M1: 12/13, M2: 10/13, M3: 16/13, M4: 14/13, q1: 8/13, q2: 6/13, qb1: 10/13, qb2: 4/13, phi1: 6/13} |
47123 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6487 | 0.8083 | 0.8026 | [X:[], M:[0.8266, 0.7934, 1.2066, 0.8598, 0.8266], q:[0.7601, 0.4133], qb:[0.7934, 0.3801], phi:[0.4133]] | t^2.38 + 3*t^2.48 + t^2.58 + t^3.52 + 2*t^3.62 + t^3.72 + 2*t^4.66 + 2*t^4.76 + 2*t^4.86 + 6*t^4.96 + 3*t^5.06 + t^5.16 + t^5.8 + t^6. - t^4.24/y - t^4.24*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 |
---|---|---|---|---|---|---|---|---|---|
46214 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.9814, 0.7904], q:[0.6433, 0.4522], qb:[0.5292, 0.5663], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |