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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57047 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_3M_7$ | 0.6805 | 0.8393 | 0.8109 | [X:[1.3333], M:[0.6667, 1.1111, 0.7619, 0.6984, 0.9841, 0.8889, 1.2381], q:[0.7778, 0.5556], qb:[0.4603, 0.4286], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-2], [1], [0], [-1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 2701/3969, c: 3331/3969, X1: 4/3, M1: 2/3, M2: 10/9, M3: 16/21, M4: 44/63, M5: 62/63, M6: 8/9, M7: 26/21, q1: 7/9, q2: 5/9, qb1: 29/63, qb2: 3/7, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_6$, $ \phi_1^2$, $ M_5$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_7$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -3 | t^2.1 + 2*t^2.67 + 2*t^2.95 + t^3.62 + t^3.71 + 2*t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.38 + t^4.67 + 2*t^4.76 + 2*t^5.05 + 3*t^5.33 + 3*t^5.62 + t^5.81 + 2*t^5.9 - 3*t^6. + t^6.1 + t^6.19 + t^6.29 + t^6.38 + t^6.48 + 2*t^6.57 + 3*t^6.67 + 3*t^6.76 + 2*t^6.86 + 3*t^6.95 + t^7.05 + 2*t^7.14 + t^7.24 + t^7.33 + 2*t^7.43 + t^7.62 + 3*t^7.71 + t^7.81 + t^7.9 + 7*t^8. - t^8.1 + 2*t^8.19 + 5*t^8.29 + 2*t^8.48 + 3*t^8.57 - 4*t^8.67 + 2*t^8.76 + 5*t^8.86 - 3*t^8.95 - t^4.33/y - t^6.43/y - t^7./y - t^7.29/y + t^7.38/y + t^7.67/y + (2*t^7.76)/y + (2*t^8.05)/y + t^8.24/y + t^8.33/y - t^8.52/y + (4*t^8.62)/y + t^8.71/y + t^8.81/y + t^8.9/y - t^4.33*y - t^6.43*y - t^7.*y - t^7.29*y + t^7.38*y + t^7.67*y + 2*t^7.76*y + 2*t^8.05*y + t^8.24*y + t^8.33*y - t^8.52*y + 4*t^8.62*y + t^8.71*y + t^8.81*y + t^8.9*y | t^2.1/g1^2 + 2*t^2.67 + 2*g1*t^2.95 + g1*t^3.62 + t^3.71/g1 + 2*t^4. + t^4.1/g1^2 + t^4.19/g1^4 + g1*t^4.29 + t^4.38/g1 + t^4.67 + (2*t^4.76)/g1^2 + (2*t^5.05)/g1 + 3*t^5.33 + 3*g1*t^5.62 + t^5.81/g1^3 + 2*g1^2*t^5.9 - 3*t^6. + t^6.1/g1^2 + t^6.19/g1^4 + t^6.29/g1^6 + t^6.38/g1 + t^6.48/g1^3 + 2*g1^2*t^6.57 + 3*t^6.67 + (3*t^6.76)/g1^2 + (2*t^6.86)/g1^4 + 3*g1*t^6.95 + t^7.05/g1 + (2*t^7.14)/g1^3 + g1^2*t^7.24 + t^7.33 + (2*t^7.43)/g1^2 + g1*t^7.62 + (3*t^7.71)/g1 + t^7.81/g1^3 + t^7.9/g1^5 + 7*t^8. - t^8.1/g1^2 + (2*t^8.19)/g1^4 + t^8.29/g1^6 + 4*g1*t^8.29 + t^8.38/g1^8 - t^8.38/g1 + (2*t^8.48)/g1^3 + t^8.57/g1^5 + 2*g1^2*t^8.57 - 4*t^8.67 + (2*t^8.76)/g1^2 + (3*t^8.86)/g1^4 + 2*g1^3*t^8.86 + (2*t^8.95)/g1^6 - 5*g1*t^8.95 - t^4.33/y - t^6.43/(g1^2*y) - t^7./y - (g1*t^7.29)/y + t^7.38/(g1*y) + t^7.67/y + (2*t^7.76)/(g1^2*y) + (2*t^8.05)/(g1*y) + (g1^2*t^8.24)/y + t^8.33/y - t^8.52/(g1^4*y) + (4*g1*t^8.62)/y + t^8.71/(g1*y) + t^8.81/(g1^3*y) + (g1^2*t^8.9)/y - t^4.33*y - (t^6.43*y)/g1^2 - t^7.*y - g1*t^7.29*y + (t^7.38*y)/g1 + t^7.67*y + (2*t^7.76*y)/g1^2 + (2*t^8.05*y)/g1 + g1^2*t^8.24*y + t^8.33*y - (t^8.52*y)/g1^4 + 4*g1*t^8.62*y + (t^8.71*y)/g1 + (t^8.81*y)/g1^3 + g1^2*t^8.9*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55486 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ | 0.6992 | 0.8728 | 0.8011 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767, 0.8889], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | t^2.14 + t^2.26 + 2*t^2.67 + 2*t^2.93 + t^3.6 + 2*t^4. + t^4.14 + t^4.26 + t^4.28 + 2*t^4.4 + t^4.53 + t^4.67 + 2*t^4.81 + 2*t^4.93 + 2*t^5.07 + 2*t^5.19 + 3*t^5.33 + 3*t^5.6 + 3*t^5.86 - 3*t^6. - t^4.33/y - t^4.33*y | detail |