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
1788	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6325	0.8243	0.7672	[M:[0.9649, 1.1054, 0.8946, 0.7471, 0.8056], q:[0.7412, 0.2939], qb:[0.4414, 0.4532], phi:[0.5176]]	[M:[[4, 4], [-12, -12], [12, 12], [-5, 7], [-1, -13]], 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
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$	${}M_{3}\phi_{1}q_{2}^{2}$	-1	t^2.206 + 2*t^2.241 + t^2.417 + t^2.684 + t^2.895 + t^3.105 + t^3.316 + t^3.548 + t^3.794 + t^4.201 + t^4.236 + t^4.272 + t^4.412 + 2*t^4.447 + 3*t^4.483 + t^4.623 + 2*t^4.658 + t^4.833 + t^4.89 + 2*t^4.925 + 2*t^5.1 + 2*t^5.136 + 2*t^5.311 + 2*t^5.347 + t^5.367 + t^5.522 + t^5.558 + t^5.578 + t^5.733 + t^5.754 + 3*t^5.789 - t^6. + t^6.035 + t^6.211 + t^6.232 + t^6.407 + t^6.422 + 2*t^6.442 + 2*t^6.478 + 2*t^6.513 + 2*t^6.618 + t^6.633 + 2*t^6.653 + 3*t^6.689 + 4*t^6.724 + t^6.829 + t^6.864 + t^6.885 + 2*t^6.9 + t^6.92 + t^6.956 + t^7.039 + t^7.075 + 2*t^7.096 + 2*t^7.131 + 3*t^7.167 + t^7.25 + 2*t^7.306 + 3*t^7.342 + 3*t^7.377 + 2*t^7.517 + t^7.553 + t^7.573 + 3*t^7.588 + 2*t^7.609 + 2*t^7.728 + t^7.749 + t^7.764 + 2*t^7.784 + t^7.799 + 2*t^7.82 + t^7.939 + t^7.96 + t^7.974 + 2*t^7.995 + 3*t^8.031 + t^8.051 + t^8.066 + t^8.15 - t^8.206 - 4*t^8.241 + t^8.262 + t^8.277 + t^8.402 - 2*t^8.417 + 2*t^8.437 + 4*t^8.473 + t^8.508 + t^8.544 + t^8.613 + t^8.628 + 2*t^8.648 + t^8.663 + t^8.684 + 2*t^8.719 + 3*t^8.755 + 2*t^8.824 + t^8.838 + 2*t^8.859 + t^8.874 - t^8.895 + t^8.915 + 3*t^8.93 + 5*t^8.966 - t^4.553/y - t^6.794/y - t^6.969/y + (2*t^7.447)/y + t^7.483/y + t^7.623/y + (2*t^7.658)/y + t^7.89/y + (2*t^7.925)/y + (2*t^8.1)/y + (3*t^8.136)/y + (3*t^8.311)/y + (2*t^8.347)/y + (2*t^8.522)/y + (2*t^8.558)/y + t^8.578/y + t^8.733/y + t^8.754/y + (3*t^8.789)/y + t^8.965/y - t^4.553*y - t^6.794*y - t^6.969*y + 2*t^7.447*y + t^7.483*y + t^7.623*y + 2*t^7.658*y + t^7.89*y + 2*t^7.925*y + 2*t^8.1*y + 3*t^8.136*y + 3*t^8.311*y + 2*t^8.347*y + 2*t^8.522*y + 2*t^8.558*y + t^8.578*y + t^8.733*y + t^8.754*y + 3*t^8.789*y + t^8.965*y	(g1^7*t^2.206)/g2^5 + (2*g2^7*t^2.241)/g1^5 + t^2.417/(g1*g2^13) + g1^12*g2^12*t^2.684 + g1^4*g2^4*t^2.895 + t^3.105/(g1^4*g2^4) + t^3.316/(g1^12*g2^12) + g1^13*g2*t^3.548 + (g2^5*t^3.794)/g1^7 + (g1^22*t^4.201)/g2^2 + g1^10*g2^10*t^4.236 + (g2^22*t^4.272)/g1^2 + (g1^14*t^4.412)/g2^10 + 2*g1^2*g2^2*t^4.447 + (3*g2^14*t^4.483)/g1^10 + (g1^6*t^4.623)/g2^18 + (2*t^4.658)/(g1^6*g2^6) + t^4.833/(g1^2*g2^26) + g1^19*g2^7*t^4.89 + 2*g1^7*g2^19*t^4.925 + (2*g1^11*t^5.1)/g2 + (2*g2^11*t^5.136)/g1 + (2*g1^3*t^5.311)/g2^9 + (2*g2^3*t^5.347)/g1^9 + g1^24*g2^24*t^5.367 + t^5.522/(g1^5*g2^17) + t^5.558/(g1^17*g2^5) + g1^16*g2^16*t^5.578 + t^5.733/(g1^13*g2^25) + (g1^20*t^5.754)/g2^4 + 3*g1^8*g2^8*t^5.789 - t^6. + (g2^12*t^6.035)/g1^12 + t^6.211/(g1^8*g2^8) + g1^25*g2^13*t^6.232 + (g1^29*t^6.407)/g2^7 + t^6.422/(g1^16*g2^16) + 2*g1^17*g2^5*t^6.442 + 2*g1^5*g2^17*t^6.478 + (2*g2^29*t^6.513)/g1^7 + (2*g1^21*t^6.618)/g2^15 + t^6.633/(g1^24*g2^24) + (2*g1^9*t^6.653)/g2^3 + (3*g2^9*t^6.689)/g1^3 + (4*g2^21*t^6.724)/g1^15 + (g1^13*t^6.829)/g2^23 + (g1*t^6.864)/g2^11 + g1^34*g2^10*t^6.885 + (2*g2*t^6.9)/g1^11 + g1^22*g2^22*t^6.92 + g1^10*g2^34*t^6.956 + (g1^5*t^7.039)/g2^31 + t^7.075/(g1^7*g2^19) + 2*g1^26*g2^2*t^7.096 + 2*g1^14*g2^14*t^7.131 + 3*g1^2*g2^26*t^7.167 + t^7.25/(g1^3*g2^39) + (2*g1^18*t^7.306)/g2^6 + 3*g1^6*g2^6*t^7.342 + (3*g2^18*t^7.377)/g1^6 + (2*g1^10*t^7.517)/g2^14 + t^7.553/(g1^2*g2^2) + g1^31*g2^19*t^7.573 + (3*g2^10*t^7.588)/g1^14 + 2*g1^19*g2^31*t^7.609 + (2*g1^2*t^7.728)/g2^22 + (g1^35*t^7.749)/g2 + t^7.764/(g1^10*g2^10) + 2*g1^23*g2^11*t^7.784 + (g2^2*t^7.799)/g1^22 + 2*g1^11*g2^23*t^7.82 + t^7.939/(g1^6*g2^30) + (g1^27*t^7.96)/g2^9 + t^7.974/(g1^18*g2^18) + 2*g1^15*g2^3*t^7.995 + 3*g1^3*g2^15*t^8.031 + g1^36*g2^36*t^8.051 + (g2^27*t^8.066)/g1^9 + t^8.15/(g1^14*g2^38) - (g1^7*t^8.206)/g2^5 - (4*g2^7*t^8.241)/g1^5 + g1^28*g2^28*t^8.262 + (g2^19*t^8.277)/g1^17 + (g1^44*t^8.402)/g2^4 - (2*t^8.417)/(g1*g2^13) + 2*g1^32*g2^8*t^8.437 + 4*g1^20*g2^20*t^8.473 + g1^8*g2^32*t^8.508 + (g2^44*t^8.544)/g1^4 + (g1^36*t^8.613)/g2^12 + t^8.628/(g1^9*g2^21) + 2*g1^24*t^8.648 + t^8.663/(g1^21*g2^9) + g1^12*g2^12*t^8.684 + 2*g2^24*t^8.719 + (3*g2^36*t^8.755)/g1^12 + (2*g1^28*t^8.824)/g2^20 + t^8.838/(g1^17*g2^29) + (2*g1^16*t^8.859)/g2^8 + t^8.874/(g1^29*g2^17) - g1^4*g2^4*t^8.895 + g1^37*g2^25*t^8.915 + (3*g2^16*t^8.93)/g1^8 + (5*g2^28*t^8.966)/g1^20 - t^4.553/(g1^2*g2^2*y) - (g2^5*t^6.794)/(g1^7*y) - t^6.969/(g1^3*g2^15*y) + (2*g1^2*g2^2*t^7.447)/y + (g2^14*t^7.483)/(g1^10*y) + (g1^6*t^7.623)/(g2^18*y) + (2*t^7.658)/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.89)/y + (2*g1^7*g2^19*t^7.925)/y + (2*g1^11*t^8.1)/(g2*y) + (3*g2^11*t^8.136)/(g1*y) + (3*g1^3*t^8.311)/(g2^9*y) + (2*g2^3*t^8.347)/(g1^9*y) + (2*t^8.522)/(g1^5*g2^17*y) + (2*t^8.558)/(g1^17*g2^5*y) + (g1^16*g2^16*t^8.578)/y + t^8.733/(g1^13*g2^25*y) + (g1^20*t^8.754)/(g2^4*y) + (3*g1^8*g2^8*t^8.789)/y + (g1^12*t^8.965)/(g2^12*y) - (t^4.553*y)/(g1^2*g2^2) - (g2^5*t^6.794*y)/g1^7 - (t^6.969*y)/(g1^3*g2^15) + 2*g1^2*g2^2*t^7.447*y + (g2^14*t^7.483*y)/g1^10 + (g1^6*t^7.623*y)/g2^18 + (2*t^7.658*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.89*y + 2*g1^7*g2^19*t^7.925*y + (2*g1^11*t^8.1*y)/g2 + (3*g2^11*t^8.136*y)/g1 + (3*g1^3*t^8.311*y)/g2^9 + (2*g2^3*t^8.347*y)/g1^9 + (2*t^8.522*y)/(g1^5*g2^17) + (2*t^8.558*y)/(g1^17*g2^5) + g1^16*g2^16*t^8.578*y + (t^8.733*y)/(g1^13*g2^25) + (g1^20*t^8.754*y)/g2^4 + 3*g1^8*g2^8*t^8.789*y + (g1^12*t^8.965*y)/g2^12

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
2798	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.573	0.7544	0.7595	[M:[1.0487, 0.854, 1.146, 0.6704, 0.7566], q:[0.7622, 0.1892], qb:[0.6648, 0.4812], phi:[0.4757]]	2*t^2.011 + t^2.27 + 2*t^2.562 + t^2.854 + t^3.146 + 2*t^3.438 + 3*t^4.022 + 3*t^4.281 + t^4.314 + t^4.54 + 3*t^4.573 + 2*t^4.832 + 3*t^4.865 + 3*t^5.124 + 2*t^5.157 + 4*t^5.416 + 3*t^5.449 + 3*t^5.708 - t^4.427/y - t^4.427*y	detail
2799	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6302	0.8242	0.7646	[M:[0.948, 1.156, 0.844, 0.7341, 0.844], q:[0.737, 0.315], qb:[0.4249, 0.419], phi:[0.526]]	2*t^2.202 + t^2.22 + 2*t^2.532 + t^2.844 + t^3.156 + t^3.468 + t^3.486 + t^3.78 + t^4.092 + t^4.11 + t^4.128 + 3*t^4.404 + 2*t^4.422 + t^4.44 + 4*t^4.734 + 2*t^4.752 + 2*t^5.046 + 4*t^5.064 + 2*t^5.358 + 3*t^5.376 + t^5.67 + 4*t^5.688 + t^5.706 + t^5.982 - t^4.578/y - t^4.578*y	detail
2800	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6488	0.8528	0.7607	[M:[0.9727, 1.0819, 0.9181, 0.7352, 0.8057, 0.7898], q:[0.7432, 0.2841], qb:[0.4671, 0.4511], phi:[0.5136]]	2*t^2.206 + t^2.253 + t^2.369 + t^2.417 + t^2.754 + t^2.918 + t^3.082 + t^3.246 + t^3.747 + t^4.247 + t^4.295 + t^4.343 + 3*t^4.411 + 2*t^4.459 + t^4.507 + 2*t^4.575 + 3*t^4.623 + t^4.671 + t^4.739 + t^4.786 + t^4.834 + 2*t^4.96 + t^5.008 + 3*t^5.124 + 2*t^5.172 + 3*t^5.287 + 2*t^5.335 + 2*t^5.451 + t^5.499 + t^5.509 + t^5.615 + t^5.663 + t^5.673 + t^5.836 + t^5.952 - t^6. - t^4.541/y - t^4.541*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
351	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6172	0.7998	0.7717	[M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]]	2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y	detail