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 |
---|---|---|---|---|---|---|---|---|---|
5393 | 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_4M_8$ | 0.6084 | 0.7583 | 0.8023 | [X:[1.3667], M:[0.6333, 1.1222, 0.7963, 1.0407, 0.9593, 1.2037, 0.7148, 0.9593], q:[0.7806, 0.5862], qb:[0.6176, 0.2602], phi:[0.4389]] | [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_5$, $ 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$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_7$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ M_2M_7$, $ M_5\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_6M_7$, $ M_5M_8$, $ M_8^2$ | . | -2 | t^2.14 + t^2.54 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.61 + t^3.95 + t^4.1 + t^4.19 + t^4.29 + t^4.68 + t^4.78 + t^4.83 + 2*t^5.02 + t^5.08 + t^5.17 + t^5.27 + 2*t^5.42 + 3*t^5.51 + 3*t^5.76 - 2*t^6. + t^6.15 + 2*t^6.24 + t^6.43 + t^6.49 + t^6.64 + t^6.73 + 3*t^6.83 + t^6.92 + 2*t^6.98 + 2*t^7.17 - t^7.32 + t^7.37 + t^7.47 + 2*t^7.56 + t^7.62 + 3*t^7.66 + 3*t^7.71 + 4*t^7.9 + t^7.96 + t^8.05 + t^8.2 + 3*t^8.29 + 4*t^8.39 + t^8.44 + t^8.48 - 3*t^8.54 + t^8.58 + t^8.69 - t^8.73 - 5*t^8.88 + t^8.93 + t^8.97 - t^4.32/y - t^6.46/y - t^7.19/y + t^7.44/y + t^7.68/y + t^7.78/y + (2*t^8.02)/y + (2*t^8.17)/y + (2*t^8.42)/y + (3*t^8.51)/y - t^8.61/y + (2*t^8.76)/y + t^8.91/y - t^4.32*y - t^6.46*y - t^7.19*y + t^7.44*y + t^7.68*y + t^7.78*y + 2*t^8.02*y + 2*t^8.17*y + 2*t^8.42*y + 3*t^8.51*y - t^8.61*y + 2*t^8.76*y + t^8.91*y | t^2.14/g1^28 + g1^34*t^2.54 + t^2.63/g1^12 + (2*t^2.88)/g1^4 + g1^12*t^3.37 + g1^20*t^3.61 + t^3.95/g1^18 + g1^36*t^4.1 + t^4.19/g1^10 + t^4.29/g1^56 + g1^6*t^4.68 + t^4.78/g1^40 + g1^60*t^4.83 + (2*t^5.02)/g1^32 + g1^68*t^5.08 + g1^22*t^5.17 + t^5.27/g1^24 + 2*g1^30*t^5.42 + (3*t^5.51)/g1^16 + (3*t^5.76)/g1^8 - 2*t^6. + g1^54*t^6.15 + 2*g1^8*t^6.24 + t^6.43/g1^84 + g1^16*t^6.49 + g1^70*t^6.64 + g1^24*t^6.73 + (3*t^6.83)/g1^22 + t^6.92/g1^68 + 2*g1^32*t^6.98 + (2*t^7.17)/g1^60 - t^7.32/g1^6 + g1^94*t^7.37 + g1^48*t^7.47 + 2*g1^2*t^7.56 + g1^102*t^7.62 + (3*t^7.66)/g1^44 + 3*g1^56*t^7.71 + (4*t^7.9)/g1^36 + g1^64*t^7.96 + g1^18*t^8.05 + g1^72*t^8.2 + 3*g1^26*t^8.29 + (4*t^8.39)/g1^20 + g1^80*t^8.44 + t^8.48/g1^66 - 3*g1^34*t^8.54 + t^8.58/g1^112 + g1^88*t^8.69 - t^8.73/g1^58 - (5*t^8.88)/g1^4 + g1^96*t^8.93 + t^8.97/g1^50 - t^4.32/(g1^6*y) - t^6.46/(g1^34*y) - t^7.19/(g1^10*y) + t^7.44/(g1^2*y) + (g1^6*t^7.68)/y + t^7.78/(g1^40*y) + (2*t^8.02)/(g1^32*y) + (2*g1^22*t^8.17)/y + (2*g1^30*t^8.42)/y + (3*t^8.51)/(g1^16*y) - t^8.61/(g1^62*y) + (2*t^8.76)/(g1^8*y) + (g1^46*t^8.91)/y - (t^4.32*y)/g1^6 - (t^6.46*y)/g1^34 - (t^7.19*y)/g1^10 + (t^7.44*y)/g1^2 + g1^6*t^7.68*y + (t^7.78*y)/g1^40 + (2*t^8.02*y)/g1^32 + 2*g1^22*t^8.17*y + 2*g1^30*t^8.42*y + (3*t^8.51*y)/g1^16 - (t^8.61*y)/g1^62 + (2*t^8.76*y)/g1^8 + g1^46*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
6880 | $M_1q_1q_2$ + $ 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_4M_8$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6292 | 0.799 | 0.7875 | [X:[1.3642], M:[0.6358, 1.1214, 0.7976, 1.0405, 0.9595, 1.2024, 0.7167, 0.9595, 0.6821], q:[0.7804, 0.5839], qb:[0.6185, 0.2601], phi:[0.4393]] | t^2.05 + t^2.15 + t^2.53 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.61 + 2*t^4.09 + 2*t^4.2 + t^4.3 + t^4.58 + 2*t^4.68 + t^4.79 + t^4.82 + 2*t^4.92 + 2*t^5.03 + t^5.06 + t^5.17 + t^5.27 + 3*t^5.41 + 3*t^5.51 + t^5.65 + 3*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 |