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 |
---|---|---|---|---|---|---|---|---|---|
1039 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6529 | 0.7983 | 0.8178 | [M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | [M:[[-3], [4], [-11], [0], [3], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$ | ${}$ | -2 | 2*t^2.51 + t^2.797 + t^3. + t^3.347 + t^3.633 + t^3.693 + t^3.837 + t^4.04 + t^4.183 + t^4.327 + t^4.53 + 4*t^5.02 + t^5.307 + t^5.51 + t^5.594 + 2*t^5.857 - 2*t^6. + 2*t^6.143 + t^6.203 + 2*t^6.347 + t^6.43 - t^6.49 + 2*t^6.55 + t^6.633 + 2*t^6.693 + t^6.837 + 3*t^7.04 + t^7.267 + t^7.386 + t^7.47 + 6*t^7.53 + t^7.673 + t^7.733 + t^7.817 + 2*t^7.877 + t^7.96 + t^8.02 + t^8.08 + t^8.104 + t^8.223 - t^8.307 + 4*t^8.367 + t^8.39 - 5*t^8.51 + t^8.57 + 3*t^8.653 + 2*t^8.713 - 2*t^8.797 + 2*t^8.857 + t^8.94 - t^4.327/y - t^6.837/y - t^7.123/y + t^7.53/y + t^7.817/y + t^8.02/y + (2*t^8.307)/y + (2*t^8.51)/y + t^8.797/y + (2*t^8.857)/y - t^4.327*y - t^6.837*y - t^7.123*y + t^7.53*y + t^7.817*y + t^8.02*y + 2*t^8.307*y + 2*t^8.51*y + t^8.797*y + 2*t^8.857*y | 2*g1^3*t^2.51 + t^2.797/g1^11 + t^3. + g1^4*t^3.347 + t^3.633/g1^10 + g1^8*t^3.693 + g1*t^3.837 + g1^12*t^4.04 + g1^5*t^4.183 + t^4.327/g1^2 + g1^9*t^4.53 + 4*g1^6*t^5.02 + t^5.307/g1^8 + g1^3*t^5.51 + t^5.594/g1^22 + 2*g1^7*t^5.857 - 2*t^6. + (2*t^6.143)/g1^7 + g1^11*t^6.203 + 2*g1^4*t^6.347 + t^6.43/g1^21 - t^6.49/g1^3 + 2*g1^15*t^6.55 + t^6.633/g1^10 + 2*g1^8*t^6.693 + g1*t^6.837 + 3*g1^12*t^7.04 + t^7.267/g1^20 + g1^16*t^7.386 + t^7.47/g1^9 + 6*g1^9*t^7.53 + g1^2*t^7.673 + g1^20*t^7.733 + t^7.817/g1^5 + 2*g1^13*t^7.877 + t^7.96/g1^12 + g1^6*t^8.02 + g1^24*t^8.08 + t^8.104/g1^19 + g1^17*t^8.223 - t^8.307/g1^8 + 4*g1^10*t^8.367 + t^8.39/g1^33 - 5*g1^3*t^8.51 + g1^21*t^8.57 + (3*t^8.653)/g1^4 + 2*g1^14*t^8.713 - (2*t^8.797)/g1^11 + 2*g1^7*t^8.857 + t^8.94/g1^18 - t^4.327/(g1^2*y) - (g1*t^6.837)/y - t^7.123/(g1^13*y) + (g1^9*t^7.53)/y + t^7.817/(g1^5*y) + (g1^6*t^8.02)/y + (2*t^8.307)/(g1^8*y) + (2*g1^3*t^8.51)/y + t^8.797/(g1^11*y) + (2*g1^7*t^8.857)/y - (t^4.327*y)/g1^2 - g1*t^6.837*y - (t^7.123*y)/g1^13 + g1^9*t^7.53*y + (t^7.817*y)/g1^5 + g1^6*t^8.02*y + (2*t^8.307*y)/g1^8 + 2*g1^3*t^8.51*y + (t^8.797*y)/g1^11 + 2*g1^7*t^8.857*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 |
---|---|---|---|---|---|---|---|---|
1622 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6708 | 0.8321 | 0.8061 | [M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | t^2.285 + 2*t^2.485 + t^2.887 + t^3. + t^3.314 + t^3.628 + t^3.828 + t^3.942 + t^4.142 + t^4.343 + t^4.456 + t^4.57 + 2*t^4.77 + 4*t^4.971 + t^5.172 + t^5.285 + t^5.372 + t^5.485 + t^5.599 + t^5.773 + 2*t^5.799 + t^5.913 - 2*t^6. - t^4.343/y - t^4.343*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 |
---|---|---|---|---|---|---|---|---|---|
651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. - t^4.319/y - t^4.319*y | detail |