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 |
---|---|---|---|---|---|---|---|---|---|
55679 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2\tilde{q}_2\tilde{q}_3$ | 0.8762 | 1.0664 | 0.8217 | [X:[], M:[0.7818, 0.7818], q:[0.6091, 0.6091, 0.7394], qb:[0.7394, 0.6091, 0.6091], phi:[0.5212]] | [X:[], M:[[0, -3, -3, 1, 1], [0, 0, 0, -1, -1]], q:[[-1, 3, 3, -1, -1], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0]], qb:[[0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 1]], phi:[[0, -1, -1, 0, 0]]] | 5 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_3$, $ q_2q_3$, $ q_3\tilde{q}_2$, $ q_3\tilde{q}_1$, $ M_1M_2$, $ M_2^2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_2\phi_1^2$, $ M_1\phi_1^2$ | . | -9 | 2*t^2.35 + t^3.13 + 4*t^3.65 + 8*t^4.05 + t^4.44 + 3*t^4.69 + 10*t^5.22 + 2*t^5.47 - 9*t^6. + t^6.25 + 8*t^6.39 + 6*t^6.78 + 4*t^7.04 + 9*t^7.31 + 5*t^7.56 + 24*t^7.7 + 3*t^7.82 + 24*t^8.09 - 2*t^8.35 + 2*t^8.6 + 8*t^8.74 + 23*t^8.87 - t^4.56/y - (2*t^6.91)/y + t^7.44/y + (2*t^8.22)/y + (2*t^8.47)/y - t^4.56*y - 2*t^6.91*y + t^7.44*y + 2*t^8.22*y + 2*t^8.47*y | t^2.35/(g4*g5) + (g4*g5*t^2.35)/(g2^3*g3^3) + t^3.13/(g2^2*g3^2) + (g2^3*g3^3*t^3.65)/(g1*g4) + g1*g4*t^3.65 + (g2^3*g3^3*t^3.65)/(g1*g5) + g1*g5*t^3.65 + g1*g2*t^4.05 + g1*g3*t^4.05 + g2*g4*t^4.05 + g3*g4*t^4.05 + (g2^4*g3^3*t^4.05)/(g1*g4*g5) + (g2^3*g3^4*t^4.05)/(g1*g4*g5) + g2*g5*t^4.05 + g3*g5*t^4.05 + g2*g3*t^4.44 + t^4.69/(g2^3*g3^3) + t^4.69/(g4^2*g5^2) + (g4^2*g5^2*t^4.69)/(g2^6*g3^6) + (g1^2*t^5.22)/(g2*g3) + (g2^2*g3^2*t^5.22)/(g1*g4) + (g1*g4*t^5.22)/(g2*g3) + (g4^2*t^5.22)/(g2*g3) + (g2^5*g3^5*t^5.22)/(g1^2*g4^2*g5^2) + (g2^2*g3^2*t^5.22)/(g1*g5) + (g2^2*g3^2*t^5.22)/(g4*g5) + (g1*g5*t^5.22)/(g2*g3) + (g4*g5*t^5.22)/(g2*g3) + (g5^2*t^5.22)/(g2*g3) + t^5.47/(g2^2*g3^2*g4*g5) + (g4*g5*t^5.47)/(g2^5*g3^5) - 5*t^6. - (g2^3*g3^3*t^6.)/(g1^2*g4*g5) - (g4*t^6.)/g5 - (g5*t^6.)/g4 - (g1^2*g4*g5*t^6.)/(g2^3*g3^3) + t^6.25/(g2^4*g3^4) + (g2^4*g3^3*t^6.39)/(g1*g4^2*g5^2) + (g2^3*g3^4*t^6.39)/(g1*g4^2*g5^2) + (g1*g2*t^6.39)/(g4*g5) + (g1*g3*t^6.39)/(g4*g5) + (g4^2*g5*t^6.39)/(g2^2*g3^3) + (g4^2*g5*t^6.39)/(g2^3*g3^2) + (g4*g5^2*t^6.39)/(g2^2*g3^3) + (g4*g5^2*t^6.39)/(g2^3*g3^2) + (g2*g3*t^6.78)/(g1*g4) + (g1*g4*t^6.78)/(g2^2*g3^2) + (g2*g3*t^6.78)/(g1*g5) + (g2*g3*t^6.78)/(g4*g5) + (g1*g5*t^6.78)/(g2^2*g3^2) + (g4*g5*t^6.78)/(g2^2*g3^2) + t^7.04/(g4^3*g5^3) + t^7.04/(g2^3*g3^3*g4*g5) + (g4*g5*t^7.04)/(g2^6*g3^6) + (g4^3*g5^3*t^7.04)/(g2^9*g3^9) + g2^3*g3^3*t^7.31 + (g2^6*g3^6*t^7.31)/(g1^2*g4^2) + g1^2*g4^2*t^7.31 + (g2^6*g3^6*t^7.31)/(g1^2*g5^2) + (g2^6*g3^6*t^7.31)/(g1^2*g4*g5) + (g2^3*g3^3*g4*t^7.31)/g5 + (g2^3*g3^3*g5*t^7.31)/g4 + g1^2*g4*g5*t^7.31 + g1^2*g5^2*t^7.31 - t^7.56/(g2*g3) + (g2^5*g3^5*t^7.56)/(g1^2*g4^3*g5^3) + (g2^2*g3^2*t^7.56)/(g4^2*g5^2) + (g1^2*t^7.56)/(g2*g3*g4*g5) + (g4^3*g5*t^7.56)/(g2^4*g3^4) + (g4^2*g5^2*t^7.56)/(g2^4*g3^4) + (g4*g5^3*t^7.56)/(g2^4*g3^4) + (g2^4*g3^3*t^7.7)/g1 + (g2^3*g3^4*t^7.7)/g1 + (g2^4*g3^3*t^7.7)/g4 + (g2^3*g3^4*t^7.7)/g4 + g1^2*g2*g4*t^7.7 + g1^2*g3*g4*t^7.7 + g1*g2*g4^2*t^7.7 + g1*g3*g4^2*t^7.7 + (g2^7*g3^6*t^7.7)/(g1^2*g4*g5^2) + (g2^6*g3^7*t^7.7)/(g1^2*g4*g5^2) + (g2^4*g3^3*t^7.7)/g5 + (g2^3*g3^4*t^7.7)/g5 + (g2^7*g3^6*t^7.7)/(g1^2*g4^2*g5) + (g2^6*g3^7*t^7.7)/(g1^2*g4^2*g5) + (g2^4*g3^3*g4*t^7.7)/(g1*g5) + (g2^3*g3^4*g4*t^7.7)/(g1*g5) + g1^2*g2*g5*t^7.7 + g1^2*g3*g5*t^7.7 + (g2^4*g3^3*g5*t^7.7)/(g1*g4) + (g2^3*g3^4*g5*t^7.7)/(g1*g4) + g1*g2*g4*g5*t^7.7 + g1*g3*g4*g5*t^7.7 + g1*g2*g5^2*t^7.7 + g1*g3*g5^2*t^7.7 + t^7.82/(g2^5*g3^5) + t^7.82/(g2^2*g3^2*g4^2*g5^2) + (g4^2*g5^2*t^7.82)/(g2^8*g3^8) + g1^2*g2^2*t^8.09 + g1^2*g3^2*t^8.09 + (g2^5*g3^3*t^8.09)/(g1*g4) + (g2^4*g3^4*t^8.09)/(g1*g4) + (g2^3*g3^5*t^8.09)/(g1*g4) + g1*g2^2*g4*t^8.09 + g1*g2*g3*g4*t^8.09 + g1*g3^2*g4*t^8.09 + g2^2*g4^2*t^8.09 + g3^2*g4^2*t^8.09 + (g2^8*g3^6*t^8.09)/(g1^2*g4^2*g5^2) + (g2^6*g3^8*t^8.09)/(g1^2*g4^2*g5^2) + (g2^5*g3^3*t^8.09)/(g1*g5) + (g2^4*g3^4*t^8.09)/(g1*g5) + (g2^3*g3^5*t^8.09)/(g1*g5) + (g2^5*g3^3*t^8.09)/(g4*g5) + (g2^3*g3^5*t^8.09)/(g4*g5) + g1*g2^2*g5*t^8.09 + g1*g2*g3*g5*t^8.09 + g1*g3^2*g5*t^8.09 + g2^2*g4*g5*t^8.09 + g3^2*g4*g5*t^8.09 + g2^2*g5^2*t^8.09 + g3^2*g5^2*t^8.09 + t^8.35/(g1*g4) + (g1*g4*t^8.35)/(g2^3*g3^3) + t^8.35/(g1*g5) - (3*t^8.35)/(g4*g5) + (g1*g5*t^8.35)/(g2^3*g3^3) - (3*g4*g5*t^8.35)/(g2^3*g3^3) + t^8.6/(g2^4*g3^4*g4*g5) + (g4*g5*t^8.6)/(g2^7*g3^7) + (g2^4*g3^3*t^8.74)/(g1*g4^3*g5^3) + (g2^3*g3^4*t^8.74)/(g1*g4^3*g5^3) + (g1*g2*t^8.74)/(g4^2*g5^2) + (g1*g3*t^8.74)/(g4^2*g5^2) + (g4^3*g5^2*t^8.74)/(g2^5*g3^6) + (g4^3*g5^2*t^8.74)/(g2^6*g3^5) + (g4^2*g5^3*t^8.74)/(g2^5*g3^6) + (g4^2*g5^3*t^8.74)/(g2^6*g3^5) - g2^3*g3*t^8.87 + g2^2*g3^2*t^8.87 - g2*g3^3*t^8.87 + (g2^5*g3^5*t^8.87)/(g1^2*g4^2) + (g1*g2^2*g3^2*t^8.87)/g4 + (g1^3*g4*t^8.87)/(g2*g3) + (g2^2*g3^2*g4*t^8.87)/g1 + (g1^2*g4^2*t^8.87)/(g2*g3) + (g1*g4^3*t^8.87)/(g2*g3) + (g2^8*g3^8*t^8.87)/(g1^3*g4^2*g5^3) + (g2^5*g3^5*t^8.87)/(g1^2*g5^2) + (g2^8*g3^8*t^8.87)/(g1^3*g4^3*g5^2) + (g2^5*g3^5*t^8.87)/(g1*g4*g5^2) + (g1*g2^2*g3^2*t^8.87)/g5 + (g2^5*g3^5*t^8.87)/(g1*g4^2*g5) + (g2^5*g3^5*t^8.87)/(g1^2*g4*g5) + (g2^2*g3^2*g4*t^8.87)/g5 + (g2^2*g3^2*g4^2*t^8.87)/(g1*g5) + (g1^3*g5*t^8.87)/(g2*g3) + (g2^2*g3^2*g5*t^8.87)/g1 + (g2^2*g3^2*g5*t^8.87)/g4 + (g1^2*g4*g5*t^8.87)/(g2*g3) + (g1*g4^2*g5*t^8.87)/(g2*g3) + (g1^2*g5^2*t^8.87)/(g2*g3) + (g2^2*g3^2*g5^2*t^8.87)/(g1*g4) + (g1*g4*g5^2*t^8.87)/(g2*g3) + (g1*g5^3*t^8.87)/(g2*g3) - t^4.56/(g2*g3*y) - t^6.91/(g2*g3*g4*g5*y) - (g4*g5*t^6.91)/(g2^4*g3^4*y) + (g2*g3*t^7.44)/y + (g2^2*g3^2*t^8.22)/(g4*g5*y) + (g4*g5*t^8.22)/(g2*g3*y) + t^8.47/(g2^2*g3^2*g4*g5*y) + (g4*g5*t^8.47)/(g2^5*g3^5*y) - (t^4.56*y)/(g2*g3) - (t^6.91*y)/(g2*g3*g4*g5) - (g4*g5*t^6.91*y)/(g2^4*g3^4) + g2*g3*t^7.44*y + (g2^2*g3^2*t^8.22*y)/(g4*g5) + (g4*g5*t^8.22*y)/(g2*g3) + (t^8.47*y)/(g2^2*g3^2*g4*g5) + (g4*g5*t^8.47*y)/(g2^5*g3^5) |
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 |
---|---|---|---|---|---|---|---|---|
55782 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2\tilde{q}_2\tilde{q}_3$ + $ M_1M_2$ | 0.8021 | 1.0104 | 0.7938 | [X:[], M:[1.0, 1.0], q:[0.5, 0.5, 0.6667], qb:[0.6667, 0.5, 0.5], phi:[0.6667]] | 6*t^3. + 8*t^3.5 + 2*t^4. + 10*t^5. + 3*t^6. - t^5./y - t^5.*y | detail | {a: 77/96, c: 97/96, M1: 1, M2: 1, q1: 1/2, q2: 1/2, q3: 2/3, qb1: 2/3, qb2: 1/2, qb3: 1/2, phi1: 2/3} |
55773 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2\tilde{q}_2\tilde{q}_3$ + $ M_1^2$ | 0.8475 | 1.0447 | 0.8112 | [X:[], M:[1.0, 0.7327], q:[0.5, 0.5, 0.7112], qb:[0.7112, 0.6337, 0.6337], phi:[0.5776]] | t^2.2 + t^3. + 4*t^3.4 + t^3.47 + 4*t^3.63 + 4*t^4.03 + t^4.27 + t^4.4 + 3*t^4.73 + 4*t^5.13 + t^5.2 + 3*t^5.53 + t^5.66 + 4*t^5.83 - 8*t^6. - t^4.73/y - t^4.73*y | detail | |
55809 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2\tilde{q}_2\tilde{q}_3$ + $ \phi_1\tilde{q}_2^2$ | 0.8607 | 1.0496 | 0.82 | [X:[], M:[0.8293, 0.7041], q:[0.5853, 0.5853, 0.7444], qb:[0.7444, 0.7444, 0.5515], phi:[0.5111]] | t^2.11 + t^2.49 + t^3.07 + 2*t^3.41 + 2*t^3.89 + 6*t^3.99 + t^4.22 + 3*t^4.47 + t^4.6 + t^4.84 + 2*t^4.94 + t^4.98 + 3*t^5.05 + t^5.18 + 2*t^5.52 + t^5.55 - 6*t^6. - t^4.53/y - t^4.53*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 |
---|---|---|---|---|---|---|---|---|---|
55451 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ | 0.8602 | 1.0422 | 0.8254 | [X:[], M:[0.7683], q:[0.6158, 0.6158, 0.732], qb:[0.732, 0.5801, 0.5801], phi:[0.536]] | t^2.3 + t^3.22 + t^3.48 + 4*t^3.59 + 4*t^3.94 + 4*t^4.04 + t^4.39 + t^4.61 + 3*t^5.09 + 4*t^5.2 + 3*t^5.3 + t^5.52 + t^5.79 - 9*t^6. - t^4.61/y - t^4.61*y | detail |