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 |
---|---|---|---|---|---|---|---|---|---|
4408 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ + $ M_4M_8$ | 0.5705 | 0.7151 | 0.7978 | [X:[1.5698], M:[1.2907, 1.1395, 0.4302, 1.0116, 0.7093, 0.9884, 0.7093, 0.9884], q:[0.3431, 0.3662], qb:[0.6453, 0.9244], phi:[0.4302]] | [X:[[2]], M:[[-6], [4], [-2], [-14], [6], [14], [6], [14]], q:[[17], [-11]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_6$, $ M_8$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_5M_6$, $ M_6M_7$, $ M_5M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_2M_5$, $ M_2M_7$, $ M_5\phi_1q_1q_2$, $ M_7\phi_1q_1q_2$, $ M_5\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_6^2$, $ M_6M_8$, $ M_8^2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | . | -3 | 2*t^2.13 + 2*t^2.97 + t^3.35 + 2*t^3.42 + t^3.49 + t^3.8 + 3*t^4.26 + t^4.71 + 4*t^5.09 + 2*t^5.48 + 3*t^5.55 + t^5.62 + 4*t^5.93 - 3*t^6. - t^6.07 + 2*t^6.31 + 6*t^6.38 + t^6.7 + 3*t^6.77 + 2*t^6.84 + t^6.98 + t^7.15 + 6*t^7.22 - 2*t^7.29 - t^7.36 + 4*t^7.61 + 4*t^7.67 - t^7.74 + 7*t^8.06 - 6*t^8.13 - 2*t^8.2 + 4*t^8.44 + 7*t^8.51 - 2*t^8.58 + 2*t^8.83 + 7*t^8.9 - 4*t^8.97 - t^4.29/y - t^6.42/y + t^7.33/y + (4*t^8.09)/y + t^8.16/y + (2*t^8.48)/y + (3*t^8.55)/y + (2*t^8.62)/y + (3*t^8.93)/y - t^4.29*y - t^6.42*y + t^7.33*y + 4*t^8.09*y + t^8.16*y + 2*t^8.48*y + 3*t^8.55*y + 2*t^8.62*y + 3*t^8.93*y | 2*g1^6*t^2.13 + 2*g1^14*t^2.97 + g1^32*t^3.35 + 2*g1^4*t^3.42 + t^3.49/g1^24 + g1^22*t^3.8 + 3*g1^12*t^4.26 + g1^2*t^4.71 + 4*g1^20*t^5.09 + 2*g1^38*t^5.48 + 3*g1^10*t^5.55 + t^5.62/g1^18 + 4*g1^28*t^5.93 - 3*t^6. - t^6.07/g1^28 + 2*g1^46*t^6.31 + 6*g1^18*t^6.38 + g1^64*t^6.7 + 3*g1^36*t^6.77 + 2*g1^8*t^6.84 + t^6.98/g1^48 + g1^54*t^7.15 + 6*g1^26*t^7.22 - (2*t^7.29)/g1^2 - t^7.36/g1^30 + 4*g1^44*t^7.61 + 4*g1^16*t^7.67 - t^7.74/g1^12 + 7*g1^34*t^8.06 - 6*g1^6*t^8.13 - (2*t^8.2)/g1^22 + 4*g1^52*t^8.44 + 7*g1^24*t^8.51 - (2*t^8.58)/g1^4 + 2*g1^70*t^8.83 + 7*g1^42*t^8.9 - 4*g1^14*t^8.97 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y + t^7.33/(g1^16*y) + (4*g1^20*t^8.09)/y + t^8.16/(g1^8*y) + (2*g1^38*t^8.48)/y + (3*g1^10*t^8.55)/y + (2*t^8.62)/(g1^18*y) + (3*g1^28*t^8.93)/y - (t^4.29*y)/g1^2 - g1^4*t^6.42*y + (t^7.33*y)/g1^16 + 4*g1^20*t^8.09*y + (t^8.16*y)/g1^8 + 2*g1^38*t^8.48*y + 3*g1^10*t^8.55*y + (2*t^8.62*y)/g1^18 + 3*g1^28*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
5900 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ + $ M_4M_8$ + $ M_9\phi_1q_1^2$ | 0.5839 | 0.7355 | 0.7939 | [X:[1.5742], M:[1.2774, 1.1484, 0.4258, 0.9806, 0.7226, 1.0194, 0.7226, 1.0194, 0.8127], q:[0.3807, 0.3419], qb:[0.6387, 0.9355], phi:[0.4258]] | 2*t^2.17 + t^2.44 + 2*t^3.06 + t^3.33 + 2*t^3.45 + t^3.95 + 3*t^4.34 + 2*t^4.61 + t^4.72 + t^4.88 + 4*t^5.23 + 3*t^5.5 + 3*t^5.61 + t^5.77 + t^5.88 - 3*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
2388 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5703 | 0.7124 | 0.8005 | [X:[1.5726], M:[1.2822, 1.1452, 0.4274, 0.9919, 0.7178, 1.0081, 0.7178], q:[0.367, 0.3508], qb:[0.6411, 0.9315], phi:[0.4274]] | 2*t^2.15 + t^2.98 + t^3.02 + t^3.39 + 2*t^3.44 + t^3.48 + t^3.9 + 3*t^4.31 + t^4.72 + 2*t^5.13 + 2*t^5.18 + t^5.54 + 3*t^5.59 + 2*t^5.64 - 2*t^6. - t^4.28/y - t^4.28*y | detail |