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 |
---|---|---|---|---|---|---|---|---|---|
3542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.716 | 0.9276 | 0.7718 | [M:[0.8326, 1.0558, 1.1674, 0.7211, 0.8326, 0.6953, 0.6694], q:[0.4034, 0.7639], qb:[0.4292, 0.515], phi:[0.4721]] | [M:[[-12], [4], [12], [-20], [-12], [14], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - t^6. + t^6.025 + t^6.077 + t^6.102 + 3*t^6.18 + 3*t^6.257 + 5*t^6.335 + 2*t^6.412 + t^6.49 + 3*t^6.515 + 4*t^6.592 + 6*t^6.669 + 3*t^6.747 + t^6.772 + 2*t^6.824 + 2*t^6.849 + 4*t^6.927 + 8*t^7.004 + 3*t^7.082 + 3*t^7.159 + t^7.184 + 4*t^7.261 + 6*t^7.339 + 3*t^7.416 + 5*t^7.494 + t^7.519 + 3*t^7.596 + 4*t^7.674 + 5*t^7.751 + 4*t^7.828 + t^7.853 + t^7.931 + 2*t^8.008 + t^8.033 + t^8.086 + t^8.111 + t^8.163 + 3*t^8.188 - t^8.241 + 4*t^8.266 + 8*t^8.343 + 4*t^8.42 + 3*t^8.523 + 2*t^8.575 + 4*t^8.6 + t^8.653 + 9*t^8.678 + 4*t^8.755 + t^8.78 + 4*t^8.833 + 2*t^8.858 + 2*t^8.91 + 4*t^8.935 + 2*t^8.988 - t^4.416/y - t^6.425/y - t^6.502/y - t^6.58/y - t^6.914/y + t^7.094/y + t^7.172/y + t^7.249/y + (2*t^7.506)/y + (2*t^7.584)/y + (2*t^7.661)/y + t^7.763/y + (2*t^7.841)/y + (3*t^7.918)/y + (2*t^7.996)/y + t^8.176/y + (4*t^8.253)/y + (4*t^8.331)/y + t^8.408/y - t^8.433/y - t^8.51/y + (2*t^8.665)/y + t^8.845/y + t^8.923/y - t^4.416*y - t^6.425*y - t^6.502*y - t^6.58*y - t^6.914*y + t^7.094*y + t^7.172*y + t^7.249*y + 2*t^7.506*y + 2*t^7.584*y + 2*t^7.661*y + t^7.763*y + 2*t^7.841*y + 3*t^7.918*y + 2*t^7.996*y + t^8.176*y + 4*t^8.253*y + 4*t^8.331*y + t^8.408*y - t^8.433*y - t^8.51*y + 2*t^8.665*y + t^8.845*y + t^8.923*y | g1^48*t^2.008 + g1^14*t^2.086 + t^2.163/g1^20 + (2*t^2.498)/g1^12 + g1^30*t^2.755 + t^2.833/g1^4 + g1^4*t^3.167 + t^3.58/g1^22 + g1^20*t^3.837 + g1^96*t^4.017 + g1^62*t^4.094 + 3*g1^28*t^4.172 + (2*t^4.249)/g1^6 + t^4.326/g1^40 + 3*g1^36*t^4.506 + 2*g1^2*t^4.584 + (2*t^4.661)/g1^32 + g1^78*t^4.763 + 2*g1^44*t^4.841 + 2*g1^10*t^4.918 + (4*t^4.996)/g1^24 + g1^52*t^5.176 + 3*g1^18*t^5.253 + (3*t^5.331)/g1^16 + g1^60*t^5.51 + 2*g1^26*t^5.588 + (3*t^5.665)/g1^8 + g1^68*t^5.845 + g1^34*t^5.923 - t^6. + g1^144*t^6.025 + t^6.077/g1^34 + g1^110*t^6.102 + 3*g1^76*t^6.18 + 3*g1^42*t^6.257 + 5*g1^8*t^6.335 + (2*t^6.412)/g1^26 + t^6.49/g1^60 + 3*g1^84*t^6.515 + 4*g1^50*t^6.592 + 6*g1^16*t^6.669 + (3*t^6.747)/g1^18 + g1^126*t^6.772 + (2*t^6.824)/g1^52 + 2*g1^92*t^6.849 + 4*g1^58*t^6.927 + 8*g1^24*t^7.004 + (3*t^7.082)/g1^10 + (3*t^7.159)/g1^44 + g1^100*t^7.184 + 4*g1^66*t^7.261 + 6*g1^32*t^7.339 + (3*t^7.416)/g1^2 + (5*t^7.494)/g1^36 + g1^108*t^7.519 + 3*g1^74*t^7.596 + 4*g1^40*t^7.674 + 5*g1^6*t^7.751 + (4*t^7.828)/g1^28 + g1^116*t^7.853 + g1^82*t^7.931 + 2*g1^48*t^8.008 + g1^192*t^8.033 + g1^14*t^8.086 + g1^158*t^8.111 + t^8.163/g1^20 + 3*g1^124*t^8.188 - t^8.241/g1^54 + 4*g1^90*t^8.266 + 8*g1^56*t^8.343 + 4*g1^22*t^8.42 + 3*g1^132*t^8.523 + (2*t^8.575)/g1^46 + 4*g1^98*t^8.6 + t^8.653/g1^80 + 9*g1^64*t^8.678 + 4*g1^30*t^8.755 + g1^174*t^8.78 + (4*t^8.833)/g1^4 + 2*g1^140*t^8.858 + (2*t^8.91)/g1^38 + 4*g1^106*t^8.935 + (2*t^8.988)/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.425)/y - (g1^12*t^6.502)/y - t^6.58/(g1^22*y) - t^6.914/(g1^14*y) + (g1^62*t^7.094)/y + (g1^28*t^7.172)/y + t^7.249/(g1^6*y) + (2*g1^36*t^7.506)/y + (2*g1^2*t^7.584)/y + (2*t^7.661)/(g1^32*y) + (g1^78*t^7.763)/y + (2*g1^44*t^7.841)/y + (3*g1^10*t^7.918)/y + (2*t^7.996)/(g1^24*y) + (g1^52*t^8.176)/y + (4*g1^18*t^8.253)/y + (4*t^8.331)/(g1^16*y) + t^8.408/(g1^50*y) - (g1^94*t^8.433)/y - (g1^60*t^8.51)/y + (2*t^8.665)/(g1^8*y) + (g1^68*t^8.845)/y + (g1^34*t^8.923)/y - (t^4.416*y)/g1^2 - g1^46*t^6.425*y - g1^12*t^6.502*y - (t^6.58*y)/g1^22 - (t^6.914*y)/g1^14 + g1^62*t^7.094*y + g1^28*t^7.172*y + (t^7.249*y)/g1^6 + 2*g1^36*t^7.506*y + 2*g1^2*t^7.584*y + (2*t^7.661*y)/g1^32 + g1^78*t^7.763*y + 2*g1^44*t^7.841*y + 3*g1^10*t^7.918*y + (2*t^7.996*y)/g1^24 + g1^52*t^8.176*y + 4*g1^18*t^8.253*y + (4*t^8.331*y)/g1^16 + (t^8.408*y)/g1^50 - g1^94*t^8.433*y - g1^60*t^8.51*y + (2*t^8.665*y)/g1^8 + g1^68*t^8.845*y + g1^34*t^8.923*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 |
---|---|---|---|---|---|---|---|---|
5218 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ | 0.5488 | 0.702 | 0.7817 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 2*t^4.839 + 3*t^5.032 + t^5.226 + 3*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 16350/29791, c: 83659/119164, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
2954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6952 | 0.8862 | 0.7845 | [M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.087 + t^2.161 + 2*t^2.497 + t^2.758 + t^2.832 + t^3.168 + t^3.577 + t^3.839 + t^3.987 + 2*t^4.174 + 2*t^4.248 + t^4.322 + t^4.51 + 2*t^4.584 + 2*t^4.658 + t^4.845 + 2*t^4.919 + 4*t^4.993 + 3*t^5.255 + 3*t^5.329 + t^5.516 + t^5.59 + 3*t^5.664 + t^5.926 - t^6. - t^4.416/y - t^4.416*y | detail |