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 |
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47087 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6123 | 0.7902 | 0.7749 | [X:[1.384], M:[0.616, 0.6908, 1.0, 0.6933, 1.0773], q:[0.7693, 0.6147], qb:[0.5399, 0.2307], phi:[0.4613]] | [X:[[6]], M:[[-6], [16], [0], [-10], [-4]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.072 + t^2.08 + t^2.312 + t^2.536 + t^2.768 + t^3. + t^3.232 + t^3.464 + t^3.696 + t^4.145 + 2*t^4.152 + t^4.16 + t^4.384 + t^4.392 + t^4.608 + t^4.616 + 2*t^4.623 + t^4.84 + 2*t^4.848 + 2*t^5.072 + 2*t^5.08 + 2*t^5.304 + 2*t^5.312 + 3*t^5.536 + 2*t^5.544 + 2*t^5.768 + t^5.776 - t^6. + t^6.008 + t^6.217 + t^6.224 + 3*t^6.232 + t^6.239 + 3*t^6.464 + t^6.471 + t^6.681 + t^6.688 + 3*t^6.696 + 2*t^6.703 + t^6.913 + t^6.92 + 2*t^6.928 + 2*t^6.935 + 2*t^7.145 + 2*t^7.152 + 3*t^7.16 + 2*t^7.377 + 2*t^7.384 + 4*t^7.392 + 3*t^7.608 + 3*t^7.616 + 3*t^7.623 + 2*t^7.84 + 3*t^7.848 + 2*t^7.855 + 2*t^8.087 + t^8.289 + t^8.297 + 4*t^8.304 + t^8.312 + 3*t^8.319 + 2*t^8.544 + t^8.551 + t^8.753 + t^8.761 + 5*t^8.776 + 2*t^8.783 + t^8.985 - t^4.384/y - t^6.456/y - t^6.464/y + t^7.152/y + t^7.384/y + t^7.392/y + t^7.608/y + t^7.616/y + t^7.84/y + (2*t^7.848)/y + t^8.072/y + (2*t^8.08)/y + (3*t^8.304)/y + (3*t^8.312)/y - t^8.529/y + t^8.536/y + t^8.544/y + (3*t^8.768)/y + (2*t^8.776)/y - t^4.384*y - t^6.456*y - t^6.464*y + t^7.152*y + t^7.384*y + t^7.392*y + t^7.608*y + t^7.616*y + t^7.84*y + 2*t^7.848*y + t^8.072*y + 2*t^8.08*y + 3*t^8.304*y + 3*t^8.312*y - t^8.529*y + t^8.536*y + t^8.544*y + 3*t^8.768*y + 2*t^8.776*y | g1^16*t^2.072 + t^2.08/g1^10 + t^2.312/g1^14 + g1^8*t^2.536 + g1^4*t^2.768 + t^3. + t^3.232/g1^4 + t^3.464/g1^8 + t^3.696/g1^12 + g1^32*t^4.145 + 2*g1^6*t^4.152 + t^4.16/g1^20 + g1^2*t^4.384 + t^4.392/g1^24 + g1^24*t^4.608 + t^4.616/g1^2 + (2*t^4.623)/g1^28 + g1^20*t^4.84 + (2*t^4.848)/g1^6 + 2*g1^16*t^5.072 + (2*t^5.08)/g1^10 + 2*g1^12*t^5.304 + (2*t^5.312)/g1^14 + 3*g1^8*t^5.536 + (2*t^5.544)/g1^18 + 2*g1^4*t^5.768 + t^5.776/g1^22 - t^6. + t^6.008/g1^26 + g1^48*t^6.217 + g1^22*t^6.224 + (3*t^6.232)/g1^4 + t^6.239/g1^30 + (3*t^6.464)/g1^8 + t^6.471/g1^34 + g1^40*t^6.681 + g1^14*t^6.688 + (3*t^6.696)/g1^12 + (2*t^6.703)/g1^38 + g1^36*t^6.913 + g1^10*t^6.92 + (2*t^6.928)/g1^16 + (2*t^6.935)/g1^42 + 2*g1^32*t^7.145 + 2*g1^6*t^7.152 + (3*t^7.16)/g1^20 + 2*g1^28*t^7.377 + 2*g1^2*t^7.384 + (4*t^7.392)/g1^24 + 3*g1^24*t^7.608 + (3*t^7.616)/g1^2 + (3*t^7.623)/g1^28 + 2*g1^20*t^7.84 + (3*t^7.848)/g1^6 + (2*t^7.855)/g1^32 + (2*t^8.087)/g1^36 + g1^64*t^8.289 + g1^38*t^8.297 + 4*g1^12*t^8.304 + t^8.312/g1^14 + (3*t^8.319)/g1^40 + (2*t^8.544)/g1^18 + t^8.551/g1^44 + g1^56*t^8.753 + g1^30*t^8.761 + (5*t^8.776)/g1^22 + (2*t^8.783)/g1^48 + g1^52*t^8.985 - (g1^2*t^4.384)/y - (g1^18*t^6.456)/y - t^6.464/(g1^8*y) + (g1^6*t^7.152)/y + (g1^2*t^7.384)/y + t^7.392/(g1^24*y) + (g1^24*t^7.608)/y + t^7.616/(g1^2*y) + (g1^20*t^7.84)/y + (2*t^7.848)/(g1^6*y) + (g1^16*t^8.072)/y + (2*t^8.08)/(g1^10*y) + (3*g1^12*t^8.304)/y + (3*t^8.312)/(g1^14*y) - (g1^34*t^8.529)/y + (g1^8*t^8.536)/y + t^8.544/(g1^18*y) + (3*g1^4*t^8.768)/y + (2*t^8.776)/(g1^22*y) - g1^2*t^4.384*y - g1^18*t^6.456*y - (t^6.464*y)/g1^8 + g1^6*t^7.152*y + g1^2*t^7.384*y + (t^7.392*y)/g1^24 + g1^24*t^7.608*y + (t^7.616*y)/g1^2 + g1^20*t^7.84*y + (2*t^7.848*y)/g1^6 + g1^16*t^8.072*y + (2*t^8.08*y)/g1^10 + 3*g1^12*t^8.304*y + (3*t^8.312*y)/g1^14 - g1^34*t^8.529*y + g1^8*t^8.536*y + (t^8.544*y)/g1^18 + 3*g1^4*t^8.768*y + (2*t^8.776*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
55604 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6261 | 0.8136 | 0.7695 | [X:[1.3784], M:[0.6216, 0.6757, 1.0, 0.7027, 1.0811, 0.8379], q:[0.7703, 0.6081], qb:[0.554, 0.2297], phi:[0.4595]] | t^2.027 + t^2.108 + t^2.351 + 2*t^2.514 + t^2.757 + t^3. + t^3.243 + t^3.73 + t^4.054 + 2*t^4.135 + t^4.216 + t^4.378 + t^4.459 + 2*t^4.541 + 2*t^4.622 + 2*t^4.703 + t^4.784 + 3*t^4.865 + 4*t^5.027 + 2*t^5.108 + 3*t^5.27 + 2*t^5.351 + 3*t^5.514 + t^5.594 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*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 |
---|---|---|---|---|---|---|---|---|---|
46578 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6442 | 0.847 | 0.7605 | [M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | t^2.157 + t^2.208 + t^2.211 + t^2.265 + t^2.316 + t^2.946 + t^3. + t^3.054 + t^3.108 + t^3.738 + t^4.314 + t^4.365 + t^4.368 + t^4.415 + t^4.419 + 2*t^4.422 + 2*t^4.473 + t^4.476 + t^4.524 + t^4.527 + 2*t^4.53 + 2*t^4.581 + 2*t^4.632 + t^5.103 + t^5.154 + t^5.157 + 3*t^5.211 + 2*t^5.262 + 3*t^5.265 + 2*t^5.316 + 2*t^5.319 + t^5.37 + t^5.373 + t^5.424 + t^5.892 + t^5.895 + t^5.946 - 2*t^6. - t^4.473/y - t^4.473*y | detail |