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 |
---|---|---|---|---|---|---|---|---|---|
2731 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ | 0.6018 | 0.7728 | 0.7788 | [X:[], M:[0.9477, 1.1568, 0.9477, 0.8432], q:[0.7369, 0.3153], qb:[0.4199, 0.4234], phi:[0.5261]] | [X:[], M:[[4], [-12], [4], [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_4$, $ M_1$, $ M_3$, $ M_2$, $ \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$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.21 + t^2.22 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^3.78 + t^3.79 + t^4.1 + t^4.11 + t^4.12 + t^4.41 + t^4.42 + t^4.43 + t^4.74 + t^4.75 + 2*t^5.05 + 3*t^5.06 + 2*t^5.37 + t^5.68 + 4*t^5.69 + t^5.7 + t^6.01 + t^6.3 + 3*t^6.31 + 3*t^6.32 + t^6.33 + t^6.62 + 2*t^6.63 + 2*t^6.64 + 2*t^6.65 + 3*t^6.94 + 2*t^6.95 + 3*t^6.96 + 2*t^7.25 + 2*t^7.26 + 3*t^7.28 + t^7.57 + t^7.58 + 4*t^7.59 + t^7.6 + 2*t^7.88 + 2*t^7.89 + 5*t^7.9 + 2*t^7.91 + t^8.2 - t^8.21 + 2*t^8.22 + 2*t^8.23 + t^8.24 + t^8.51 + 3*t^8.53 + 3*t^8.54 + t^8.55 + t^8.82 - 3*t^8.84 + 2*t^8.85 + 2*t^8.86 - t^4.58/y + (2*t^7.74)/y + t^7.75/y + (2*t^8.05)/y + (2*t^8.06)/y + (2*t^8.37)/y + (2*t^8.68)/y + (4*t^8.69)/y + t^8.7/y + t^8.99/y - t^4.58*y + 2*t^7.74*y + t^7.75*y + 2*t^8.05*y + 2*t^8.06*y + 2*t^8.37*y + 2*t^8.68*y + 4*t^8.69*y + t^8.7*y + t^8.99*y | t^2.21/g1^18 + g1^20*t^2.22 + g1^12*t^2.53 + 2*g1^4*t^2.84 + (2*t^3.47)/g1^12 + g1^26*t^3.48 + t^3.78/g1^20 + g1^18*t^3.79 + t^4.1/g1^28 + g1^10*t^4.11 + g1^48*t^4.12 + t^4.41/g1^36 + g1^2*t^4.42 + g1^40*t^4.43 + t^4.74/g1^6 + g1^32*t^4.75 + (2*t^5.05)/g1^14 + 3*g1^24*t^5.06 + 2*g1^16*t^5.37 + t^5.68/g1^30 + 4*g1^8*t^5.69 + g1^46*t^5.7 + g1^38*t^6.01 + t^6.3/g1^46 + (3*t^6.31)/g1^8 + 3*g1^30*t^6.32 + g1^68*t^6.33 + t^6.62/g1^54 + (2*t^6.63)/g1^16 + 2*g1^22*t^6.64 + 2*g1^60*t^6.65 + (3*t^6.94)/g1^24 + 2*g1^14*t^6.95 + 3*g1^52*t^6.96 + (2*t^7.25)/g1^32 + 2*g1^6*t^7.26 + 3*g1^44*t^7.28 + t^7.57/g1^40 + t^7.58/g1^2 + 4*g1^36*t^7.59 + g1^74*t^7.6 + (2*t^7.88)/g1^48 + (2*t^7.89)/g1^10 + 5*g1^28*t^7.9 + 2*g1^66*t^7.91 + t^8.2/g1^56 - t^8.21/g1^18 + 2*g1^20*t^8.22 + 2*g1^58*t^8.23 + g1^96*t^8.24 + t^8.51/g1^64 + 3*g1^12*t^8.53 + 3*g1^50*t^8.54 + g1^88*t^8.55 + t^8.82/g1^72 - 3*g1^4*t^8.84 + 2*g1^42*t^8.85 + 2*g1^80*t^8.86 - t^4.58/(g1^2*y) + (2*t^7.74)/(g1^6*y) + (g1^32*t^7.75)/y + (2*t^8.05)/(g1^14*y) + (2*g1^24*t^8.06)/y + (2*g1^16*t^8.37)/y + (2*t^8.68)/(g1^30*y) + (4*g1^8*t^8.69)/y + (g1^46*t^8.7)/y + t^8.99/(g1^38*y) - (t^4.58*y)/g1^2 + (2*t^7.74*y)/g1^6 + g1^32*t^7.75*y + (2*t^8.05*y)/g1^14 + 2*g1^24*t^8.06*y + 2*g1^16*t^8.37*y + (2*t^8.68*y)/g1^30 + 4*g1^8*t^8.69*y + g1^46*t^8.7*y + (t^8.99*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 |
---|---|---|---|---|---|---|---|---|
3243 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_4M_5$ | 0.5885 | 0.7494 | 0.7852 | [X:[], M:[0.95, 1.1501, 0.95, 0.8499, 1.1501], q:[0.7375, 0.3125], qb:[0.4126, 0.4373], phi:[0.525]] | t^2.18 + t^2.25 + 2*t^2.85 + 3*t^3.45 + t^3.52 + t^3.75 + t^3.82 + t^4.05 + t^4.12 + t^4.2 + t^4.35 + t^4.42 + t^4.5 + 2*t^5.03 + 2*t^5.1 + 2*t^5.63 + 5*t^5.7 + t^5.77 - 2*t^6. - t^4.58/y - t^4.58*y | detail | |
3242 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_2^2$ | 0.598 | 0.7665 | 0.7802 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 2*t^4.7 + 3*t^4.96 + 3*t^5.22 + 3*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 58209/97336, c: 9326/12167, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, 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 |
---|---|---|---|---|---|---|---|---|---|
1734 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.6083 | 0.7807 | 0.7792 | [X:[], M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]] | t^2.19 + t^2.28 + t^2.32 + 2*t^2.93 + 2*t^3.2 + t^3.59 + t^3.72 + t^3.81 + t^4.25 + t^4.34 + t^4.38 + t^4.42 + t^4.47 + t^4.51 + t^4.55 + t^4.6 + t^4.65 + 2*t^5.13 + 2*t^5.21 + 2*t^5.26 + t^5.39 + t^5.47 + 2*t^5.52 + t^5.78 + 3*t^5.87 + t^5.92 - 2*t^6. - t^4.53/y - t^4.53*y | detail |