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
56813	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}M_{8}$	0.7115	0.8828	0.806	[M:[0.96, 0.8397, 0.9759, 1.0962, 0.9038, 1.0321, 0.9679, 0.9038], q:[0.6162, 0.4238], qb:[0.5441, 0.48], phi:[0.484]]	[M:[[0, 8], [-10, 10], [-4, -4], [6, -6], [-6, 6], [2, -2], [-2, 2], [-6, 6]], q:[[6, -10], [-6, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$	${}$	-4	t^2.519 + 2*t^2.711 + t^2.88 + 2*t^2.904 + t^2.928 + t^3.995 + t^4.163 + t^4.332 + t^4.356 + t^4.524 + t^4.572 + t^4.717 + t^4.74 + t^4.933 + t^5.038 + t^5.149 + 2*t^5.231 + t^5.399 + 4*t^5.423 + t^5.447 + t^5.591 + 4*t^5.615 + t^5.639 + t^5.76 + t^5.784 + 3*t^5.808 + t^5.832 + t^5.855 - 4*t^6. - t^6.168 - 2*t^6.192 - t^6.216 - t^6.361 - t^6.409 + t^6.514 - t^6.577 + t^6.683 + 2*t^6.706 + t^6.851 + 3*t^6.875 + 2*t^6.899 + t^6.923 + 3*t^7.043 + 3*t^7.067 + t^7.212 + 4*t^7.236 + 2*t^7.26 + t^7.283 + t^7.404 + 2*t^7.428 + t^7.476 + t^7.5 + t^7.557 + t^7.596 + t^7.62 + t^7.644 + 2*t^7.75 - 2*t^7.813 + t^7.861 + t^7.918 + 4*t^7.942 + t^7.966 + t^7.99 - t^8.005 - t^8.029 + t^8.053 + t^8.077 + t^8.111 + 6*t^8.134 + 2*t^8.158 - t^8.221 - t^8.245 + t^8.279 + 2*t^8.303 + 8*t^8.327 + 2*t^8.351 + t^8.375 + t^8.471 + 2*t^8.495 + 2*t^8.519 + 2*t^8.567 + t^8.64 + 2*t^8.664 + t^8.688 - 5*t^8.711 + 2*t^8.735 + t^8.759 + t^8.783 + t^8.856 - 5*t^8.88 - 10*t^8.904 - 4*t^8.928 - t^4.452/y - t^6.971/y - t^7.163/y - t^7.332/y - t^7.356/y - t^7.38/y + t^7.524/y + t^7.548/y + t^7.572/y + t^7.74/y + t^7.933/y + (2*t^8.231)/y + t^8.399/y + (3*t^8.423)/y + t^8.447/y + (2*t^8.591)/y + (4*t^8.615)/y + (2*t^8.639)/y + (2*t^8.784)/y + (2*t^8.808)/y + (2*t^8.832)/y - t^4.452*y - t^6.971*y - t^7.163*y - t^7.332*y - t^7.356*y - t^7.38*y + t^7.524*y + t^7.548*y + t^7.572*y + t^7.74*y + t^7.933*y + 2*t^8.231*y + t^8.399*y + 3*t^8.423*y + t^8.447*y + 2*t^8.591*y + 4*t^8.615*y + 2*t^8.639*y + 2*t^8.784*y + 2*t^8.808*y + 2*t^8.832*y	(g2^10*t^2.519)/g1^10 + (2*g2^6*t^2.711)/g1^6 + g2^8*t^2.88 + (2*g2^2*t^2.904)/g1^2 + t^2.928/(g1^4*g2^4) + (g2^5*t^3.995)/g1^13 + (g2^7*t^4.163)/g1^7 + (g2^9*t^4.332)/g1 + (g2^3*t^4.356)/g1^3 + g1^3*g2^5*t^4.524 + t^4.572/(g1*g2^7) + g1^7*g2*t^4.717 + (g1^5*t^4.74)/g2^5 + (g1^9*t^4.933)/g2^9 + (g2^20*t^5.038)/g1^20 + (g1^11*t^5.149)/g2^19 + (2*g2^16*t^5.231)/g1^16 + (g2^18*t^5.399)/g1^10 + (4*g2^12*t^5.423)/g1^12 + (g2^6*t^5.447)/g1^14 + (g2^14*t^5.591)/g1^6 + (4*g2^8*t^5.615)/g1^8 + (g2^2*t^5.639)/g1^10 + g2^16*t^5.76 + (g2^10*t^5.784)/g1^2 + (3*g2^4*t^5.808)/g1^4 + t^5.832/(g1^6*g2^2) + t^5.855/(g1^8*g2^8) - 4*t^6. - g1^6*g2^2*t^6.168 - (2*g1^4*t^6.192)/g2^4 - (g1^2*t^6.216)/g2^10 - (g1^10*t^6.361)/g2^2 - (g1^6*t^6.409)/g2^14 + (g2^15*t^6.514)/g1^23 - (g1^12*t^6.577)/g2^12 + (g2^17*t^6.683)/g1^17 + (2*g2^11*t^6.706)/g1^19 + (g2^19*t^6.851)/g1^11 + (3*g2^13*t^6.875)/g1^13 + (2*g2^7*t^6.899)/g1^15 + (g2*t^6.923)/g1^17 + (3*g2^15*t^7.043)/g1^7 + (3*g2^9*t^7.067)/g1^9 + (g2^17*t^7.212)/g1 + (4*g2^11*t^7.236)/g1^3 + (2*g2^5*t^7.26)/g1^5 + t^7.283/(g1^7*g2) + g1^3*g2^13*t^7.404 + 2*g1*g2^7*t^7.428 + t^7.476/(g1^3*g2^5) + t^7.5/(g1^5*g2^11) + (g2^30*t^7.557)/g1^30 + g1^7*g2^9*t^7.596 + g1^5*g2^3*t^7.62 + (g1^3*t^7.644)/g2^3 + (2*g2^26*t^7.75)/g1^26 - (2*g1^9*t^7.813)/g2 + (g1^5*t^7.861)/g2^13 + (g2^28*t^7.918)/g1^20 + (4*g2^22*t^7.942)/g1^22 + (g2^16*t^7.966)/g1^24 + (g2^10*t^7.99)/g1^26 - (g1^13*t^8.005)/g2^5 - (g1^11*t^8.029)/g2^11 + (g1^9*t^8.053)/g2^17 + (g1^7*t^8.077)/g2^23 + (g2^24*t^8.111)/g1^16 + (6*g2^18*t^8.134)/g1^18 + (2*g2^12*t^8.158)/g1^20 - (g1^15*t^8.221)/g2^15 - (g1^13*t^8.245)/g2^21 + (g2^26*t^8.279)/g1^10 + (2*g2^20*t^8.303)/g1^12 + (8*g2^14*t^8.327)/g1^14 + (2*g2^8*t^8.351)/g1^16 + (g2^2*t^8.375)/g1^18 + (g2^22*t^8.471)/g1^6 + (2*g2^16*t^8.495)/g1^8 + (2*g2^10*t^8.519)/g1^10 + (2*t^8.567)/(g1^14*g2^2) + g2^24*t^8.64 + (2*g2^18*t^8.664)/g1^2 + (g2^12*t^8.688)/g1^4 - (5*g2^6*t^8.711)/g1^6 + (2*t^8.735)/g1^8 + t^8.759/(g1^10*g2^6) + t^8.783/(g1^12*g2^12) + g1^2*g2^14*t^8.856 - 5*g2^8*t^8.88 - (10*g2^2*t^8.904)/g1^2 - (4*t^8.928)/(g1^4*g2^4) - (g2*t^4.452)/(g1*y) - (g2^11*t^6.971)/(g1^11*y) - (g2^7*t^7.163)/(g1^7*y) - (g2^9*t^7.332)/(g1*y) - (g2^3*t^7.356)/(g1^3*y) - t^7.38/(g1^5*g2^3*y) + (g1^3*g2^5*t^7.524)/y + (g1*t^7.548)/(g2*y) + t^7.572/(g1*g2^7*y) + (g1^5*t^7.74)/(g2^5*y) + (g1^9*t^7.933)/(g2^9*y) + (2*g2^16*t^8.231)/(g1^16*y) + (g2^18*t^8.399)/(g1^10*y) + (3*g2^12*t^8.423)/(g1^12*y) + (g2^6*t^8.447)/(g1^14*y) + (2*g2^14*t^8.591)/(g1^6*y) + (4*g2^8*t^8.615)/(g1^8*y) + (2*g2^2*t^8.639)/(g1^10*y) + (2*g2^10*t^8.784)/(g1^2*y) + (2*g2^4*t^8.808)/(g1^4*y) + (2*t^8.832)/(g1^6*g2^2*y) - (g2*t^4.452*y)/g1 - (g2^11*t^6.971*y)/g1^11 - (g2^7*t^7.163*y)/g1^7 - (g2^9*t^7.332*y)/g1 - (g2^3*t^7.356*y)/g1^3 - (t^7.38*y)/(g1^5*g2^3) + g1^3*g2^5*t^7.524*y + (g1*t^7.548*y)/g2 + (t^7.572*y)/(g1*g2^7) + (g1^5*t^7.74*y)/g2^5 + (g1^9*t^7.933*y)/g2^9 + (2*g2^16*t^8.231*y)/g1^16 + (g2^18*t^8.399*y)/g1^10 + (3*g2^12*t^8.423*y)/g1^12 + (g2^6*t^8.447*y)/g1^14 + (2*g2^14*t^8.591*y)/g1^6 + (4*g2^8*t^8.615*y)/g1^8 + (2*g2^2*t^8.639*y)/g1^10 + (2*g2^10*t^8.784*y)/g1^2 + (2*g2^4*t^8.808*y)/g1^4 + (2*t^8.832*y)/(g1^6*g2^2)

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
58892	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }\phi_{1}q_{1}^{2}$	0.6892	0.8733	0.7892	[M:[0.8265, 0.7032, 1.0547, 1.1781, 0.8219, 1.0594, 0.9406, 0.8219], q:[0.7648, 0.4086], qb:[0.532, 0.4133], phi:[0.4703]]	t^2.109 + 2*t^2.466 + t^2.48 + 2*t^2.822 + t^3.164 + t^3.863 + t^3.877 + t^3.891 + t^4.219 + t^4.233 + t^4.247 + 2*t^4.575 + t^4.589 + t^4.603 + 5*t^4.931 + 2*t^4.945 + t^4.959 + t^5.274 + 4*t^5.288 + 2*t^5.301 + t^5.63 + 3*t^5.644 + t^5.972 + 2*t^5.986 - 2*t^6. - t^4.411/y - t^4.411*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
55145	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$	0.7036	0.867	0.8115	[M:[0.9696, 0.873, 0.9796, 1.0762, 0.9238, 1.0254, 0.9746], q:[0.5914, 0.439], qb:[0.5356, 0.4848], phi:[0.4873]]	t^2.619 + t^2.771 + t^2.909 + 2*t^2.924 + t^2.939 + t^3.229 + t^4.096 + t^4.233 + t^4.371 + t^4.386 + t^4.523 + t^4.553 + t^4.675 + t^4.691 + t^4.843 + t^5.011 + t^5.238 + t^5.39 + t^5.528 + 2*t^5.543 + t^5.558 + 2*t^5.695 + t^5.817 + t^5.832 + 4*t^5.848 + t^5.863 + t^5.878 - 3*t^6. - t^4.462/y - t^4.462*y	detail