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 |
---|---|---|---|---|---|---|---|---|---|
3241 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ | 0.5793 | 0.7341 | 0.7892 | [X:[], M:[0.9519, 1.1444, 1.0481, 0.8556, 1.1444], q:[0.738, 0.3102], qb:[0.4064, 0.4492], phi:[0.5241]] | [X:[], M:[[4], [-12], [-4], [12], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.15 + t^2.28 + 2*t^3.14 + 3*t^3.43 + t^3.56 + t^3.72 + t^3.85 + t^4.01 + t^4.14 + t^4.27 + t^4.3 + t^4.43 + t^4.56 + 2*t^5.29 + 2*t^5.42 + 2*t^5.58 + 2*t^5.71 + t^5.84 - 2*t^6. + t^6.16 + t^6.29 + t^6.45 + t^6.55 + 5*t^6.58 + t^6.71 + t^6.83 + 5*t^6.87 + 2*t^6.99 + 3*t^7.16 + 2*t^7.28 + 2*t^7.41 + 4*t^7.44 + 2*t^7.57 + 4*t^7.7 + 3*t^7.73 + t^7.83 + t^7.99 + t^8.02 + 2*t^8.12 - 2*t^8.15 - 2*t^8.28 + t^8.31 + t^8.41 + t^8.44 + t^8.53 + t^8.6 + 3*t^8.73 + t^8.82 + 2*t^8.86 + t^8.98 - t^4.57/y + t^7.14/y + (2*t^7.43)/y - t^7.72/y - t^8.01/y + (2*t^8.29)/y + (2*t^8.42)/y + (3*t^8.58)/y + (4*t^8.71)/y + t^8.84/y + t^8.87/y - t^4.57*y + t^7.14*y + 2*t^7.43*y - t^7.72*y - t^8.01*y + 2*t^8.29*y + 2*t^8.42*y + 3*t^8.58*y + 4*t^8.71*y + t^8.84*y + t^8.87*y | t^2.15/g1^18 + g1^20*t^2.28 + (2*t^3.14)/g1^4 + (3*t^3.43)/g1^12 + g1^26*t^3.56 + t^3.72/g1^20 + g1^18*t^3.85 + t^4.01/g1^28 + g1^10*t^4.14 + g1^48*t^4.27 + t^4.3/g1^36 + g1^2*t^4.43 + g1^40*t^4.56 + (2*t^5.29)/g1^22 + 2*g1^16*t^5.42 + (2*t^5.58)/g1^30 + 2*g1^8*t^5.71 + g1^46*t^5.84 - 2*t^6. + t^6.16/g1^46 + t^6.29/g1^8 + t^6.45/g1^54 + g1^68*t^6.55 + (5*t^6.58)/g1^16 + g1^22*t^6.71 + g1^60*t^6.83 + (5*t^6.87)/g1^24 + 2*g1^14*t^6.99 + (3*t^7.16)/g1^32 + 2*g1^6*t^7.28 + 2*g1^44*t^7.41 + (4*t^7.44)/g1^40 + (2*t^7.57)/g1^2 + 4*g1^36*t^7.7 + (3*t^7.73)/g1^48 + g1^74*t^7.83 + g1^28*t^7.99 + t^8.02/g1^56 + 2*g1^66*t^8.12 - (2*t^8.15)/g1^18 - 2*g1^20*t^8.28 + t^8.31/g1^64 + g1^58*t^8.41 + t^8.44/g1^26 + g1^96*t^8.53 + t^8.6/g1^72 + (3*t^8.73)/g1^34 + g1^88*t^8.82 + 2*g1^4*t^8.86 + g1^42*t^8.98 - t^4.57/(g1^2*y) + (g1^10*t^7.14)/y + (2*g1^2*t^7.43)/y - t^7.72/(g1^6*y) - t^8.01/(g1^14*y) + (2*t^8.29)/(g1^22*y) + (2*g1^16*t^8.42)/y + (3*t^8.58)/(g1^30*y) + (4*g1^8*t^8.71)/y + (g1^46*t^8.84)/y + t^8.87/(g1^38*y) - (t^4.57*y)/g1^2 + g1^10*t^7.14*y + 2*g1^2*t^7.43*y - (t^7.72*y)/g1^6 - (t^8.01*y)/g1^14 + (2*t^8.29*y)/g1^22 + 2*g1^16*t^8.42*y + (3*t^8.58*y)/g1^30 + 4*g1^8*t^8.71*y + g1^46*t^8.84*y + (t^8.87*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3663 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.5958 | 0.764 | 0.7799 | [X:[], M:[0.9557, 1.1329, 1.0443, 0.8671, 1.1329, 0.7879], q:[0.7389, 0.3054], qb:[0.394, 0.4732], phi:[0.5221]] | t^2.1 + t^2.34 + t^2.36 + 2*t^3.13 + 3*t^3.4 + t^3.66 + t^3.9 + t^3.93 + t^4.17 + t^4.2 + t^4.41 + t^4.43 + t^4.46 + t^4.67 + t^4.7 + t^4.73 + 2*t^5.23 + 2*t^5.47 + 4*t^5.5 + t^5.73 + 3*t^5.76 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
3661 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ q_1q_2\tilde{q}_2^2$ | 0.5783 | 0.7332 | 0.7887 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + t^2.35 + 2*t^3.13 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 2*t^5.22 + 4*t^5.48 + 2*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 112581/194672, c: 71367/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2730 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.5923 | 0.7564 | 0.783 | [X:[], M:[0.9496, 1.1513, 1.0504, 0.8487], q:[0.7374, 0.313], qb:[0.4139, 0.4348], phi:[0.5252]] | t^2.18 + t^2.24 + t^2.55 + 2*t^3.15 + 2*t^3.45 + t^3.52 + t^3.76 + t^3.82 + t^4.06 + t^4.12 + t^4.18 + t^4.36 + t^4.42 + t^4.49 + t^4.73 + t^4.79 + t^5.09 + 2*t^5.33 + 2*t^5.39 + t^5.63 + 3*t^5.7 + t^5.76 - t^4.58/y - t^4.58*y | detail |