Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
1914	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6522	0.8612	0.7573	[M:[0.964, 1.108, 0.892, 0.728, 0.754, 0.8], q:[0.741, 0.295], qb:[0.459, 0.433], phi:[0.518]]	[M:[[4, 4], [-12, -12], [12, 12], [-5, 7], [7, -5], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}q_{2}^{2}$	-2	2*t^2.184 + 2*t^2.262 + t^2.4 + t^2.676 + t^2.892 + t^3.108 + t^3.324 + t^3.522 + t^4.152 + t^4.23 + t^4.308 + 3*t^4.368 + 4*t^4.446 + 3*t^4.524 + 2*t^4.584 + 2*t^4.662 + t^4.8 + 2*t^4.86 + 2*t^4.938 + 3*t^5.076 + 2*t^5.154 + 3*t^5.292 + t^5.352 + 2*t^5.37 + 2*t^5.508 + t^5.568 + t^5.586 + 2*t^5.706 + t^5.724 + 3*t^5.784 - 2*t^6. - t^6.078 + t^6.198 + 2*t^6.336 + 3*t^6.414 + t^6.432 + 2*t^6.492 + 5*t^6.552 + 2*t^6.57 + 6*t^6.63 + t^6.648 + 5*t^6.708 + 3*t^6.768 + 4*t^6.786 + t^6.828 + 3*t^6.846 + t^6.906 + t^6.924 + 3*t^6.984 + 4*t^7.044 + t^7.062 + 4*t^7.122 - t^7.14 + 4*t^7.2 + 5*t^7.26 + 4*t^7.338 + 3*t^7.416 + 5*t^7.476 + 2*t^7.536 + 3*t^7.554 + 2*t^7.614 + 2*t^7.632 + t^7.674 + 4*t^7.692 + 3*t^7.752 + 2*t^7.77 + 2*t^7.83 + t^7.848 + 3*t^7.89 + 2*t^7.908 + 4*t^7.968 + t^7.986 + t^8.028 + 2*t^8.046 + t^8.124 - 4*t^8.184 + t^8.244 - 7*t^8.262 + t^8.304 - 2*t^8.34 + 3*t^8.382 - 3*t^8.4 + 4*t^8.46 - 2*t^8.478 + 3*t^8.52 + t^8.538 + 5*t^8.598 + 2*t^8.616 + 2*t^8.676 + t^8.694 + 7*t^8.736 + 2*t^8.754 + 8*t^8.814 + 5*t^8.832 + t^8.874 + 2*t^8.892 + t^8.91 + 5*t^8.952 + 5*t^8.97 - t^4.554/y - t^6.738/y - t^6.816/y - t^6.954/y + t^7.368/y + (4*t^7.446)/y + t^7.524/y + (2*t^7.584)/y + (2*t^7.662)/y + (2*t^7.86)/y + (2*t^7.938)/y + (3*t^8.076)/y + (3*t^8.154)/y + (4*t^8.292)/y + (3*t^8.37)/y + (3*t^8.508)/y + t^8.568/y + (2*t^8.586)/y + (2*t^8.706)/y + t^8.724/y + (3*t^8.784)/y - t^4.554*y - t^6.738*y - t^6.816*y - t^6.954*y + t^7.368*y + 4*t^7.446*y + t^7.524*y + 2*t^7.584*y + 2*t^7.662*y + 2*t^7.86*y + 2*t^7.938*y + 3*t^8.076*y + 3*t^8.154*y + 4*t^8.292*y + 3*t^8.37*y + 3*t^8.508*y + t^8.568*y + 2*t^8.586*y + 2*t^8.706*y + t^8.724*y + 3*t^8.784*y	(2*g2^7*t^2.184)/g1^5 + (2*g1^7*t^2.262)/g2^5 + t^2.4/(g1^13*g2) + g1^12*g2^12*t^2.676 + g1^4*g2^4*t^2.892 + t^3.108/(g1^4*g2^4) + t^3.324/(g1^12*g2^12) + g1*g2^13*t^3.522 + (g2^22*t^4.152)/g1^2 + g1^10*g2^10*t^4.23 + (g1^22*t^4.308)/g2^2 + (3*g2^14*t^4.368)/g1^10 + 4*g1^2*g2^2*t^4.446 + (3*g1^14*t^4.524)/g2^10 + (2*g2^6*t^4.584)/g1^18 + (2*t^4.662)/(g1^6*g2^6) + t^4.8/(g1^26*g2^2) + 2*g1^7*g2^19*t^4.86 + 2*g1^19*g2^7*t^4.938 + (3*g2^11*t^5.076)/g1 + (2*g1^11*t^5.154)/g2 + (3*g2^3*t^5.292)/g1^9 + g1^24*g2^24*t^5.352 + (2*g1^3*t^5.37)/g2^9 + (2*t^5.508)/(g1^17*g2^5) + g1^16*g2^16*t^5.568 + t^5.586/(g1^5*g2^17) + (2*g2^20*t^5.706)/g1^4 + t^5.724/(g1^25*g2^13) + 3*g1^8*g2^8*t^5.784 - 2*t^6. - (g1^12*t^6.078)/g2^12 + g1^13*g2^25*t^6.198 + (2*g2^29*t^6.336)/g1^7 + 3*g1^5*g2^17*t^6.414 + t^6.432/(g1^16*g2^16) + 2*g1^17*g2^5*t^6.492 + (5*g2^21*t^6.552)/g1^15 + (2*g1^29*t^6.57)/g2^7 + (6*g2^9*t^6.63)/g1^3 + t^6.648/(g1^24*g2^24) + (5*g1^9*t^6.708)/g2^3 + (3*g2^13*t^6.768)/g1^23 + (4*g1^21*t^6.786)/g2^15 + g1^10*g2^34*t^6.828 + (3*g2*t^6.846)/g1^11 + g1^22*g2^22*t^6.906 + (g1*t^6.924)/g2^11 + (2*g2^5*t^6.984)/g1^31 + g1^34*g2^10*t^6.984 + 4*g1^2*g2^26*t^7.044 + t^7.062/(g1^19*g2^7) + 4*g1^14*g2^14*t^7.122 - t^7.14/(g1^7*g2^19) + t^7.2/(g1^39*g2^3) + 3*g1^26*g2^2*t^7.2 + (5*g2^18*t^7.26)/g1^6 + 4*g1^6*g2^6*t^7.338 + (3*g1^18*t^7.416)/g2^6 + (5*g2^10*t^7.476)/g1^14 + 2*g1^19*g2^31*t^7.536 + (3*t^7.554)/(g1^2*g2^2) + 2*g1^31*g2^19*t^7.614 + (2*g1^10*t^7.632)/g2^14 + (g2^35*t^7.674)/g1 + (4*g2^2*t^7.692)/g1^22 + 3*g1^11*g2^23*t^7.752 + (2*t^7.77)/(g1^10*g2^10) + 2*g1^23*g2^11*t^7.83 + (g1^2*t^7.848)/g2^22 + (3*g2^27*t^7.89)/g1^9 + (2*t^7.908)/(g1^30*g2^6) + 4*g1^3*g2^15*t^7.968 + t^7.986/(g1^18*g2^18) + g1^36*g2^36*t^8.028 + 2*g1^15*g2^3*t^8.046 + t^8.124/(g1^38*g2^14) - (4*g2^7*t^8.184)/g1^5 + g1^28*g2^28*t^8.244 - (7*g1^7*t^8.262)/g2^5 + (g2^44*t^8.304)/g1^4 - (2*g1^19*t^8.34)/g2^17 + 3*g1^8*g2^32*t^8.382 - (3*t^8.4)/(g1^13*g2) + 4*g1^20*g2^20*t^8.46 - (2*t^8.478)/(g1*g2^13) + (3*g2^36*t^8.52)/g1^12 + g1^32*g2^8*t^8.538 + 5*g2^24*t^8.598 + t^8.616/(g1^21*g2^9) + (g1^44*t^8.616)/g2^4 + 2*g1^12*g2^12*t^8.676 + t^8.694/(g1^9*g2^21) + (7*g2^28*t^8.736)/g1^20 + 2*g1^24*t^8.754 + (8*g2^16*t^8.814)/g1^8 + (2*t^8.832)/(g1^29*g2^17) + (3*g1^36*t^8.832)/g2^12 + g1^25*g2^37*t^8.874 + 2*g1^4*g2^4*t^8.892 + t^8.91/(g1^17*g2^29) + (5*g2^20*t^8.952)/g1^28 + (5*g1^16*t^8.97)/g2^8 - t^4.554/(g1^2*g2^2*y) - (g2^5*t^6.738)/(g1^7*y) - (g1^5*t^6.816)/(g2^7*y) - t^6.954/(g1^15*g2^3*y) + (g2^14*t^7.368)/(g1^10*y) + (4*g1^2*g2^2*t^7.446)/y + (g1^14*t^7.524)/(g2^10*y) + (2*g2^6*t^7.584)/(g1^18*y) + (2*t^7.662)/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.86)/y + (2*g1^19*g2^7*t^7.938)/y + (3*g2^11*t^8.076)/(g1*y) + (3*g1^11*t^8.154)/(g2*y) + (4*g2^3*t^8.292)/(g1^9*y) + (3*g1^3*t^8.37)/(g2^9*y) + (3*t^8.508)/(g1^17*g2^5*y) + (g1^16*g2^16*t^8.568)/y + (2*t^8.586)/(g1^5*g2^17*y) + (2*g2^20*t^8.706)/(g1^4*y) + t^8.724/(g1^25*g2^13*y) + (3*g1^8*g2^8*t^8.784)/y - (t^4.554*y)/(g1^2*g2^2) - (g2^5*t^6.738*y)/g1^7 - (g1^5*t^6.816*y)/g2^7 - (t^6.954*y)/(g1^15*g2^3) + (g2^14*t^7.368*y)/g1^10 + 4*g1^2*g2^2*t^7.446*y + (g1^14*t^7.524*y)/g2^10 + (2*g2^6*t^7.584*y)/g1^18 + (2*t^7.662*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.86*y + 2*g1^19*g2^7*t^7.938*y + (3*g2^11*t^8.076*y)/g1 + (3*g1^11*t^8.154*y)/g2 + (4*g2^3*t^8.292*y)/g1^9 + (3*g1^3*t^8.37*y)/g2^9 + (3*t^8.508*y)/(g1^17*g2^5) + g1^16*g2^16*t^8.568*y + (2*t^8.586*y)/(g1^5*g2^17) + (2*g2^20*t^8.706*y)/g1^4 + (t^8.724*y)/(g1^25*g2^13) + 3*g1^8*g2^8*t^8.784*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
2946	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6498	0.8607	0.755	[M:[0.9465, 1.1605, 0.8395, 0.7325, 0.7407, 0.8395], q:[0.7366, 0.3169], qb:[0.4239, 0.4157], phi:[0.5267]]	2*t^2.198 + 2*t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^4.074 + t^4.099 + t^4.123 + 3*t^4.395 + 4*t^4.42 + 3*t^4.444 + 4*t^4.716 + 4*t^4.741 + 5*t^5.037 + 2*t^5.062 + 4*t^5.358 + 2*t^5.383 + 2*t^5.654 + 5*t^5.679 + t^5.704 + t^5.975 - t^6. - t^4.58/y - t^4.58*y	detail
2947	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6679	0.8876	0.7526	[M:[0.972, 1.084, 0.916, 0.743, 0.743, 0.799, 0.799], q:[0.743, 0.285], qb:[0.458, 0.458], phi:[0.514]]	4*t^2.229 + 2*t^2.397 + t^2.748 + t^2.916 + t^3.084 + t^3.252 + 3*t^4.29 + 10*t^4.458 + 8*t^4.626 + 3*t^4.794 + 4*t^4.977 + 6*t^5.145 + 6*t^5.313 + 4*t^5.481 + t^5.496 + 2*t^5.649 + t^5.664 + t^5.832 - 4*t^6. - t^4.542/y - t^4.542*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

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

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
559	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6365	0.835	0.7622	[M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]]	4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y	detail