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 |
---|---|---|---|---|---|---|---|---|---|
5391 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_5M_8$ | 0.601 | 0.7461 | 0.8054 | [X:[1.3547], M:[0.6453, 1.1182, 0.8029, 1.0394, 0.9606, 1.1971, 0.7241, 1.0394], q:[0.7796, 0.5751], qb:[0.6219, 0.2599], phi:[0.4409]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [-28], [4]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_8$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_7^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_7\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1^4$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_8\phi_1^2$ | . | -2 | t^2.17 + t^2.5 + t^2.65 + 2*t^3.12 + t^3.35 + t^3.59 + t^3.97 + t^4.06 + t^4.2 + t^4.34 + t^4.68 + t^4.77 + t^4.82 + t^5.01 + t^5.15 + 3*t^5.29 + t^5.53 + 2*t^5.62 + 2*t^5.76 - 2*t^6. + t^6.1 + 3*t^6.24 + t^6.47 + t^6.52 + t^6.57 + 3*t^6.71 + t^6.85 + t^6.99 + 2*t^7.18 + t^7.28 + t^7.32 + t^7.42 + 2*t^7.46 + t^7.51 + t^7.66 + t^7.7 + 2*t^7.8 + t^7.89 + 3*t^7.94 - t^8.03 + 3*t^8.13 - 2*t^8.17 + 2*t^8.27 + t^8.36 + 4*t^8.41 - 3*t^8.5 + t^8.55 + t^8.6 - 2*t^8.65 + t^8.69 + 3*t^8.74 - t^8.79 + t^8.84 + 2*t^8.88 - t^4.32/y - t^6.5/y + t^7.2/y - t^7.44/y + t^7.68/y + t^7.82/y + (2*t^8.15)/y + (2*t^8.29)/y + t^8.53/y + (2*t^8.62)/y - t^8.67/y + (3*t^8.76)/y + t^8.86/y - t^4.32*y - t^6.5*y + t^7.2*y - t^7.44*y + t^7.68*y + t^7.82*y + 2*t^8.15*y + 2*t^8.29*y + t^8.53*y + 2*t^8.62*y - t^8.67*y + 3*t^8.76*y + t^8.86*y | t^2.17/g1^28 + g1^34*t^2.5 + t^2.65/g1^12 + 2*g1^4*t^3.12 + g1^12*t^3.35 + g1^20*t^3.59 + t^3.97/g1^18 + g1^36*t^4.06 + t^4.2/g1^10 + t^4.34/g1^56 + g1^6*t^4.68 + g1^60*t^4.77 + t^4.82/g1^40 + g1^68*t^5.01 + g1^22*t^5.15 + (3*t^5.29)/g1^24 + t^5.53/g1^16 + 2*g1^38*t^5.62 + (2*t^5.76)/g1^8 - 2*t^6. + g1^54*t^6.1 + 3*g1^8*t^6.24 + g1^16*t^6.47 + t^6.52/g1^84 + g1^70*t^6.57 + 3*g1^24*t^6.71 + t^6.85/g1^22 + t^6.99/g1^68 + 2*g1^40*t^7.18 + g1^94*t^7.28 + t^7.32/g1^6 + g1^48*t^7.42 + (2*t^7.46)/g1^52 + g1^102*t^7.51 + g1^56*t^7.66 + t^7.7/g1^44 + 2*g1^10*t^7.8 + g1^64*t^7.89 + (3*t^7.94)/g1^36 - g1^18*t^8.03 + 3*g1^72*t^8.13 - (2*t^8.17)/g1^28 + 2*g1^26*t^8.27 + g1^80*t^8.36 + (4*t^8.41)/g1^20 - 3*g1^34*t^8.5 + t^8.55/g1^66 + g1^88*t^8.6 - (2*t^8.65)/g1^12 + t^8.69/g1^112 + 3*g1^42*t^8.74 - t^8.79/g1^58 + g1^96*t^8.84 + (2*t^8.88)/g1^4 - t^4.32/(g1^6*y) - t^6.5/(g1^34*y) + t^7.2/(g1^10*y) - t^7.44/(g1^2*y) + (g1^6*t^7.68)/y + t^7.82/(g1^40*y) + (2*g1^22*t^8.15)/y + (2*t^8.29)/(g1^24*y) + t^8.53/(g1^16*y) + (2*g1^38*t^8.62)/y - t^8.67/(g1^62*y) + (3*t^8.76)/(g1^8*y) + (g1^46*t^8.86)/y - (t^4.32*y)/g1^6 - (t^6.5*y)/g1^34 + (t^7.2*y)/g1^10 - (t^7.44*y)/g1^2 + g1^6*t^7.68*y + (t^7.82*y)/g1^40 + 2*g1^22*t^8.15*y + (2*t^8.29*y)/g1^24 + (t^8.53*y)/g1^16 + 2*g1^38*t^8.62*y - (t^8.67*y)/g1^62 + (3*t^8.76*y)/g1^8 + g1^46*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
6887 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_5M_8$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6218 | 0.7872 | 0.7898 | [X:[1.3531], M:[0.6469, 1.1177, 0.8038, 1.0392, 0.9608, 1.1962, 0.7254, 1.0392, 0.6766], q:[0.7794, 0.5737], qb:[0.6225, 0.2598], phi:[0.4411]] | t^2.03 + t^2.18 + t^2.5 + t^2.65 + 2*t^3.12 + t^3.35 + t^3.59 + 2*t^4.06 + 2*t^4.21 + t^4.35 + t^4.53 + 2*t^4.68 + t^4.77 + t^4.82 + t^5. + 3*t^5.15 + 3*t^5.29 + t^5.38 + t^5.53 + 3*t^5.62 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
3814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6047 | 0.7522 | 0.8039 | [X:[1.3607], M:[0.6393, 1.1202, 0.7996, 1.0401, 0.9599, 1.2004, 0.7195], q:[0.7801, 0.5806], qb:[0.6197, 0.26], phi:[0.4399]] | t^2.16 + t^2.52 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.96 + t^4.08 + t^4.2 + t^4.32 + t^4.68 + 2*t^4.8 + 2*t^5.04 + t^5.16 + 2*t^5.28 + t^5.4 + 2*t^5.52 + t^5.64 + 2*t^5.76 - t^6. - t^4.32/y - t^4.32*y | detail |