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 |
---|---|---|---|---|---|---|---|---|---|
48125 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_6^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[1.0414, 0.9805, 0.9586, 1.0207, 0.978, 1.0], q:[0.489, 0.4696], qb:[0.5304, 0.5524], phi:[0.4896]] | [X:[], M:[[4, 4], [-12, 4], [-4, -4], [2, 2], [8, -8], [0, 0]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_2$, $ M_6$, $ M_4$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_2M_5$, $ M_3M_6$, $ M_2^2$, $ M_3M_4$ | $M_2M_4$, $ M_4M_5$ | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 + t^6.06 + t^6.12 + t^6.19 + t^6.25 + t^6.31 + t^6.37 + t^6.5 + t^7.16 + t^7.22 + t^7.23 + t^7.28 + t^7.29 + 2*t^7.34 + t^7.4 + t^7.41 + t^7.46 + t^7.47 + t^7.48 + 3*t^7.53 + 2*t^7.59 + 2*t^7.65 + t^7.66 + 2*t^7.72 + t^7.73 + 2*t^7.78 + t^7.84 + t^7.9 + t^7.91 + t^7.97 + t^8.03 + t^8.57 + t^8.63 + t^8.76 + t^8.8 + 2*t^8.81 + 2*t^8.82 + t^8.87 - 2*t^8.88 - 2*t^8.93 + t^8.95 - t^4.47/y - t^7.4/y - t^7.41/y + (2*t^7.53)/y + t^8.81/y + t^8.82/y + (2*t^8.88)/y + t^8.93/y + (2*t^8.94)/y - t^4.47*y - t^7.4*y - t^7.41*y + 2*t^7.53*y + t^8.81*y + t^8.82*y + 2*t^8.88*y + t^8.93*y + 2*t^8.94*y | t^2.88/(g1^4*g2^4) + (g1^8*t^2.93)/g2^8 + (g2^4*t^2.94)/g1^12 + t^3. + g1^2*g2^2*t^3.06 + g1^4*g2^4*t^3.12 + g1^8*g2^8*t^3.25 + t^4.29/(g1^17*g2) + t^4.34/(g1^5*g2^5) + (g1^7*t^4.4)/g2^9 + t^4.47/(g1*g2) + (g1^11*t^4.53)/g2^5 + (g2^7*t^4.53)/g1^9 + g1^3*g2^3*t^4.59 + (g1^15*t^4.65)/g2 + g1^7*g2^7*t^4.72 + (g2^15*t^4.78)/g1 + (g1^16*t^5.87)/g2^16 + t^5.88/(g1^4*g2^4) + (g2^8*t^5.88)/g1^24 + t^5.94/(g1^2*g2^2) - 2*t^6. + (g1^10*t^6.)/g2^6 + (g2^6*t^6.)/g1^10 + g1^2*g2^2*t^6.06 + g1^4*g2^4*t^6.12 + g1^6*g2^6*t^6.19 + g1^8*g2^8*t^6.25 + g1^10*g2^10*t^6.31 + g1^12*g2^12*t^6.37 + g1^16*g2^16*t^6.5 + t^7.16/(g1^21*g2^5) + t^7.22/(g1^9*g2^9) + (g2^3*t^7.23)/g1^29 + (g1^3*t^7.28)/g2^13 + t^7.29/(g1^17*g2) + (g1^15*t^7.34)/g2^17 + t^7.34/(g1^5*g2^5) + (g1^7*t^7.4)/g2^9 + (g2^3*t^7.41)/g1^13 + (g1^19*t^7.46)/g2^13 + t^7.47/(g1*g2) + (g2^11*t^7.48)/g1^21 + (2*g1^11*t^7.53)/g2^5 + (g2^7*t^7.53)/g1^9 + (g1^23*t^7.59)/g2^9 + g1^3*g2^3*t^7.59 + (2*g1^15*t^7.65)/g2 + (g2^11*t^7.66)/g1^5 + 2*g1^7*g2^7*t^7.72 + (g2^19*t^7.73)/g1^13 + g1^19*g2^3*t^7.78 + (g2^15*t^7.78)/g1 + g1^11*g2^11*t^7.84 + g1^23*g2^7*t^7.9 + g1^3*g2^19*t^7.91 + g1^15*g2^15*t^7.97 + g1^7*g2^23*t^8.03 + t^8.57/(g1^34*g2^2) + t^8.63/(g1^22*g2^6) + t^8.69/(g1^10*g2^10) - t^8.69/(g1^20*g2^4) + (g1^2*t^8.75)/g2^14 - t^8.75/(g1^8*g2^8) + t^8.76/(g1^18*g2^2) + (g1^24*t^8.8)/g2^24 + (g1^14*t^8.81)/g2^18 + t^8.81/(g1^6*g2^6) + (g2^6*t^8.82)/g1^26 + (g2^12*t^8.82)/g1^36 + (g1^6*t^8.87)/g2^10 - (3*t^8.88)/(g1^4*g2^4) + (g2^2*t^8.88)/g1^14 + (2*g1^18*t^8.93)/g2^14 - (4*g1^8*t^8.93)/g2^8 + (3*t^8.94)/(g1^2*g2^2) - (3*g2^4*t^8.94)/g1^12 + (g2^10*t^8.95)/g1^22 - t^4.47/(g1*g2*y) - (g1^7*t^7.4)/(g2^9*y) - (g2^3*t^7.41)/(g1^13*y) + (g1^11*t^7.53)/(g2^5*y) + (g2^7*t^7.53)/(g1^9*y) + (g1^4*t^8.81)/(g2^12*y) + t^8.82/(g1^16*y) + (2*t^8.88)/(g1^4*g2^4*y) + (g1^8*t^8.93)/(g2^8*y) + t^8.94/(g1^2*g2^2*y) + (g2^4*t^8.94)/(g1^12*y) - (t^4.47*y)/(g1*g2) - (g1^7*t^7.4*y)/g2^9 - (g2^3*t^7.41*y)/g1^13 + (g1^11*t^7.53*y)/g2^5 + (g2^7*t^7.53*y)/g1^9 + (g1^4*t^8.81*y)/g2^12 + (t^8.82*y)/g1^16 + (2*t^8.88*y)/(g1^4*g2^4) + (g1^8*t^8.93*y)/g2^8 + (t^8.94*y)/(g1^2*g2^2) + (g2^4*t^8.94*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
55627 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_6^2$ + $ M_1M_7$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[1.0617, 0.9719, 0.9383, 1.0309, 0.9664, 1.0, 0.9383], q:[0.4832, 0.4551], qb:[0.5449, 0.5785], phi:[0.4846]] | 2*t^2.81 + t^2.9 + t^2.92 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.35 + t^4.45 + t^4.54 + t^4.55 + t^4.64 + t^4.72 + t^4.82 + t^4.92 + 2*t^5.63 + t^5.71 + t^5.73 + t^5.8 + 2*t^5.81 + t^5.83 + 2*t^5.91 + t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
55488 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_6^2$ + $ M_2M_7$ | 0.6963 | 0.8535 | 0.8158 | [X:[], M:[1.032, 1.0387, 0.968, 1.016, 0.9293, 1.0, 0.9613], q:[0.4647, 0.5034], qb:[0.4966, 0.5673], phi:[0.492]] | t^2.79 + t^2.88 + t^2.9 + t^3. + t^3.05 + t^3.1 + t^3.19 + t^4.26 + t^4.36 + t^4.38 + t^4.46 + t^4.48 + t^4.5 + t^4.57 + t^4.67 + t^4.69 + t^4.88 + t^5.58 + t^5.67 + t^5.77 + t^5.79 + t^5.84 + t^5.88 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
55449 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_6^2$ + $ M_5M_7$ | 0.6962 | 0.8534 | 0.8158 | [X:[], M:[1.0301, 0.9316, 0.9699, 1.0151, 1.0383, 1.0, 0.9617], q:[0.5191, 0.4507], qb:[0.5493, 0.511], phi:[0.4925]] | t^2.79 + t^2.89 + t^2.91 + t^3. + t^3.05 + t^3.09 + t^3.18 + t^4.18 + t^4.36 + t^4.39 + t^4.48 + t^4.54 + t^4.57 + t^4.59 + t^4.66 + t^4.68 + t^4.77 + t^5.59 + t^5.68 + t^5.77 + t^5.79 + t^5.84 + t^5.89 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
46410 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], 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 |