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 |
---|---|---|---|---|---|---|---|---|---|
352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ | 0.6804 | 0.8399 | 0.81 | [X:[], M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | [X:[], M:[[-12], [4], [-4]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1M_3$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | $M_1\phi_1\tilde{q}_2^2$ | -1 | t^2.05 + 2*t^2.68 + t^2.92 + t^3. + t^3.63 + t^3.71 + t^3.95 + t^4.03 + 2*t^4.1 + t^4.27 + t^4.34 + t^4.58 + 2*t^4.73 + t^4.97 + t^5.05 + 3*t^5.37 + 2*t^5.61 + 2*t^5.68 + t^5.85 - t^6. + 2*t^6.15 - t^6.24 + t^6.32 + 2*t^6.39 + t^6.56 + 3*t^6.63 + 2*t^6.71 + 4*t^6.78 + t^6.87 + 2*t^6.95 + 2*t^7.03 + t^7.1 + t^7.19 + 2*t^7.27 - t^7.34 + 2*t^7.42 + t^7.51 + t^7.66 + 3*t^7.73 + t^7.81 + t^7.9 + t^7.97 + 4*t^8.05 + t^8.13 + 3*t^8.2 + t^8.22 + 2*t^8.29 + 2*t^8.37 + t^8.44 + 3*t^8.53 - 2*t^8.68 + t^8.77 + 4*t^8.84 + t^8.85 - 3*t^8.92 - t^4.34/y - t^6.39/y - t^7.03/y + t^7.66/y + (2*t^7.73)/y + t^7.97/y + t^8.05/y + t^8.29/y + t^8.37/y - t^8.44/y + (2*t^8.61)/y + (3*t^8.68)/y + t^8.76/y + t^8.92/y - t^4.34*y - t^6.39*y - t^7.03*y + t^7.66*y + 2*t^7.73*y + t^7.97*y + t^8.05*y + t^8.29*y + t^8.37*y - t^8.44*y + 2*t^8.61*y + 3*t^8.68*y + t^8.76*y + t^8.92*y | t^2.05/g1^12 + (2*t^2.68)/g1^4 + g1^18*t^2.92 + t^3. + g1^8*t^3.63 + t^3.71/g1^10 + g1^12*t^3.95 + t^4.03/g1^6 + (2*t^4.1)/g1^24 + g1^16*t^4.27 + t^4.34/g1^2 + g1^20*t^4.58 + (2*t^4.73)/g1^16 + g1^6*t^4.97 + t^5.05/g1^12 + (3*t^5.37)/g1^8 + 2*g1^14*t^5.61 + (2*t^5.68)/g1^4 + g1^36*t^5.85 - t^6. + (2*t^6.15)/g1^36 - g1^22*t^6.24 + g1^4*t^6.32 + (2*t^6.39)/g1^14 + g1^26*t^6.56 + 3*g1^8*t^6.63 + (2*t^6.71)/g1^10 + (4*t^6.78)/g1^28 + g1^30*t^6.87 + 2*g1^12*t^6.95 + (2*t^7.03)/g1^6 + t^7.1/g1^24 + g1^34*t^7.19 + 2*g1^16*t^7.27 - t^7.34/g1^2 + (2*t^7.42)/g1^20 + g1^38*t^7.51 + g1^2*t^7.66 + (3*t^7.73)/g1^16 + t^7.81/g1^34 + g1^24*t^7.9 + g1^6*t^7.97 + (4*t^8.05)/g1^12 + t^8.13/g1^30 + (3*t^8.2)/g1^48 + g1^28*t^8.22 + 2*g1^10*t^8.29 + (2*t^8.37)/g1^8 + t^8.44/g1^26 + 3*g1^32*t^8.53 - (2*t^8.68)/g1^4 + g1^54*t^8.77 + (4*t^8.84)/g1^40 + g1^36*t^8.85 - 3*g1^18*t^8.92 - t^4.34/(g1^2*y) - t^6.39/(g1^14*y) - t^7.03/(g1^6*y) + (g1^2*t^7.66)/y + (2*t^7.73)/(g1^16*y) + (g1^6*t^7.97)/y + t^8.05/(g1^12*y) + (g1^10*t^8.29)/y + t^8.37/(g1^8*y) - t^8.44/(g1^26*y) + (2*g1^14*t^8.61)/y + (3*t^8.68)/(g1^4*y) + t^8.76/(g1^22*y) + (g1^18*t^8.92)/y - (t^4.34*y)/g1^2 - (t^6.39*y)/g1^14 - (t^7.03*y)/g1^6 + g1^2*t^7.66*y + (2*t^7.73*y)/g1^16 + g1^6*t^7.97*y + (t^8.05*y)/g1^12 + g1^10*t^8.29*y + (t^8.37*y)/g1^8 - (t^8.44*y)/g1^26 + 2*g1^14*t^8.61*y + (3*t^8.68*y)/g1^4 + (t^8.76*y)/g1^22 + g1^18*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
560 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.7011 | 0.8806 | 0.7962 | [X:[], M:[0.6816, 1.1061, 0.8939, 0.6816], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | 2*t^2.04 + 2*t^2.68 + t^2.93 + t^3. + t^3.64 + t^3.7 + t^4.02 + 4*t^4.09 + t^4.27 + t^4.34 + t^4.59 + 4*t^4.73 + 2*t^4.98 + 2*t^5.04 + 3*t^5.36 + 2*t^5.61 + 3*t^5.68 + t^5.75 + t^5.87 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
1796 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ | 0.6977 | 0.8709 | 0.8011 | [X:[], M:[0.6748, 1.1084, 0.8916, 0.7832], q:[0.7771, 0.5481], qb:[0.4519, 0.4397], phi:[0.4458]] | t^2.02 + t^2.35 + 2*t^2.67 + t^2.96 + t^3. + t^3.69 + t^3.98 + t^4.01 + 2*t^4.05 + t^4.3 + t^4.34 + t^4.37 + t^4.63 + 3*t^4.7 + t^4.99 + 3*t^5.02 + t^5.31 + 4*t^5.35 + 2*t^5.64 + t^5.67 + t^5.93 - t^6. - t^4.34/y - t^4.34*y | detail | |
558 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ q_2^2\tilde{q}_2^2$ + $ M_1X_1$ | 0.659 | 0.7978 | 0.8259 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.67 + 2*t^3. + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + 3*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 427/648, c: 517/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
220 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.6709 | 0.8239 | 0.8143 | [X:[], M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.07 + t^2.69 + t^2.89 + t^3. + t^3.31 + t^3.62 + t^3.73 + t^3.93 + t^4.04 + 2*t^4.14 + t^4.24 + t^4.35 + t^4.55 + t^4.76 + t^4.96 + t^5.07 + 2*t^5.38 + t^5.58 + t^5.69 + t^5.79 - t^4.35/y - t^4.35*y | detail |