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
989	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6851	0.8556	0.8007	[M:[0.9791, 0.7612, 0.9034, 0.8369, 1.1631, 0.8037], q:[0.6403, 0.3806], qb:[0.4563, 0.7825], phi:[0.4351]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [2, 6]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$	${}$	-2	t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. + t^6.1 + t^6.199 + t^6.327 + t^6.426 + t^6.454 + t^6.554 + t^6.652 + t^6.653 + t^6.679 + t^6.753 + t^6.851 + t^6.879 + 2*t^6.979 + t^6.98 + t^7.006 + t^7.078 + t^7.106 + t^7.178 + t^7.206 + t^7.233 + t^7.278 + 2*t^7.305 + t^7.333 + 2*t^7.405 + t^7.431 + t^7.433 + 2*t^7.505 + 3*t^7.532 + t^7.558 + t^7.604 + 3*t^7.632 + t^7.704 + 2*t^7.732 + t^7.758 + t^7.759 + 3*t^7.831 + t^7.859 + 2*t^7.931 + t^7.959 - t^7.985 + t^8.031 + t^8.058 + t^8.086 + t^8.13 + 2*t^8.158 - t^8.184 + t^8.258 - 3*t^8.284 + t^8.285 + t^8.311 + t^8.357 - 2*t^8.411 + t^8.485 - 2*t^8.511 + t^8.584 - t^8.61 + t^8.636 + t^8.638 - 2*t^8.71 + t^8.811 + t^8.837 + t^8.865 + t^8.91 + t^8.936 - 2*t^8.937 + t^8.965 - t^4.305/y - t^6.589/y - t^6.716/y - t^6.916/y - t^7.015/y - t^7.242/y + t^7.368/y + t^7.595/y + (2*t^7.695)/y + t^7.794/y + (2*t^7.894)/y + t^7.922/y + t^7.994/y + (2*t^8.021)/y + (2*t^8.121)/y + (2*t^8.221)/y + t^8.321/y + t^8.348/y + t^8.448/y + t^8.548/y + t^8.647/y + t^8.773/y - t^8.873/y + t^8.9/y - t^4.305*y - t^6.589*y - t^6.716*y - t^6.916*y - t^7.015*y - t^7.242*y + t^7.368*y + t^7.595*y + 2*t^7.695*y + t^7.794*y + 2*t^7.894*y + t^7.922*y + t^7.994*y + 2*t^8.021*y + 2*t^8.121*y + 2*t^8.221*y + t^8.321*y + t^8.348*y + t^8.448*y + t^8.548*y + t^8.647*y + t^8.773*y - t^8.873*y + t^8.9*y	t^2.284/(g1^2*g2^2) + g1^2*g2^6*t^2.411 + (g1*t^2.511)/g2 + t^2.61/g2^8 + t^2.71/(g1*g2^15) + (g1^2*t^2.937)/g2^14 + (g2*t^3.489)/g1 + (g1*t^3.816)/g2^5 + (g1^4*t^4.043)/g2^4 + (g2^17*t^4.268)/g1 + (g2^10*t^4.368)/g1^2 + t^4.567/(g1^4*g2^4) + g1*g2^11*t^4.595 + g2^4*t^4.695 + t^4.794/(g1*g2^3) + g1^4*g2^12*t^4.822 + t^4.894/(g1^2*g2^10) + g1^3*g2^5*t^4.922 + t^4.994/(g1^3*g2^17) + (2*g1^2*t^5.021)/g2^2 + (2*g1*t^5.121)/g2^9 + (g2^26*t^5.147)/g1^2 + (2*t^5.221)/g2^16 + t^5.321/(g1*g2^23) + (g1^4*t^5.348)/g2^8 + t^5.42/(g1^2*g2^30) + (g1^2*t^5.548)/g2^22 + (g1*t^5.647)/g2^29 + (g1^4*t^5.874)/g2^28 + g1*g2^7*t^5.9 - 2*t^6. + t^6.1/(g1*g2^7) + t^6.199/(g1^2*g2^14) + (g1^2*t^6.327)/g2^6 + (g1*t^6.426)/g2^13 + g1^6*g2^2*t^6.454 + (g1^5*t^6.554)/g2^5 + (g2^8*t^6.652)/g1^4 + (g1^4*t^6.653)/g2^12 + g1*g2^23*t^6.679 + (g1^3*t^6.753)/g2^19 + t^6.851/(g1^6*g2^6) + (g2^9*t^6.879)/g1 + (2*g2^2*t^6.979)/g1^2 + (g1^6*t^6.98)/g2^18 + g1^3*g2^17*t^7.006 + t^7.078/(g1^3*g2^5) + g1^2*g2^10*t^7.106 + t^7.178/(g1^4*g2^12) + g1*g2^3*t^7.206 + g1^6*g2^18*t^7.233 + t^7.278/(g1^5*g2^19) + (2*t^7.305)/g2^4 + g1^5*g2^11*t^7.333 + (2*t^7.405)/(g1*g2^11) + (g2^24*t^7.431)/g1^4 + g1^4*g2^4*t^7.433 + (2*t^7.505)/(g1^2*g2^18) + (3*g1^3*t^7.532)/g2^3 + g2^32*t^7.558 + t^7.604/(g1^3*g2^25) + (3*g1^2*t^7.632)/g2^10 + t^7.704/(g1^4*g2^32) + (2*g1*t^7.732)/g2^17 + (g2^18*t^7.758)/g1^2 + (g1^6*t^7.759)/g2^2 + (3*t^7.831)/g2^24 + (g1^5*t^7.859)/g2^9 + (2*t^7.931)/(g1*g2^31) + (g1^4*t^7.959)/g2^16 - g1*g2^19*t^7.985 + t^8.031/(g1^2*g2^38) + (g1^3*t^8.058)/g2^23 + (g1^8*t^8.086)/g2^8 + t^8.13/(g1^3*g2^45) + (2*g1^2*t^8.158)/g2^30 - (g2^5*t^8.184)/g1 + (g1*t^8.258)/g2^37 - (3*t^8.284)/(g1^2*g2^2) + (g1^6*t^8.285)/g2^22 + g1^3*g2^13*t^8.311 + t^8.357/g2^44 - 2*g1^2*g2^6*t^8.411 + (g1^4*t^8.485)/g2^36 - (2*g1*t^8.511)/g2 + (g1^3*t^8.584)/g2^43 - t^8.61/g2^8 + (g2^27*t^8.636)/g1^3 + g1^5*g2^7*t^8.638 - (2*t^8.71)/(g1*g2^15) + (g1^6*t^8.811)/g2^42 + (g1^3*t^8.837)/g2^7 + g1^8*g2^8*t^8.865 + t^8.91/(g1^3*g2^29) + (g2^6*t^8.936)/g1^6 - (2*g1^2*t^8.937)/g2^14 + g1^7*g2*t^8.965 - t^4.305/(g2^4*y) - t^6.589/(g1^2*g2^6*y) - (g1^2*g2^2*t^6.716)/y - t^6.916/(g2^12*y) - t^7.015/(g1*g2^19*y) - (g1^2*t^7.242)/(g2^18*y) + (g2^10*t^7.368)/(g1^2*y) + (g1*g2^11*t^7.595)/y + (2*g2^4*t^7.695)/y + t^7.794/(g1*g2^3*y) + (2*t^7.894)/(g1^2*g2^10*y) + (g1^3*g2^5*t^7.922)/y + t^7.994/(g1^3*g2^17*y) + (2*g1^2*t^8.021)/(g2^2*y) + (2*g1*t^8.121)/(g2^9*y) + (2*t^8.221)/(g2^16*y) + t^8.321/(g1*g2^23*y) + (g1^4*t^8.348)/(g2^8*y) + (g1^3*t^8.448)/(g2^15*y) + (g1^2*t^8.548)/(g2^22*y) + (g1*t^8.647)/(g2^29*y) + t^8.773/(g1^3*g2*y) - t^8.873/(g1^4*g2^8*y) + (g1*g2^7*t^8.9)/y - (t^4.305*y)/g2^4 - (t^6.589*y)/(g1^2*g2^6) - g1^2*g2^2*t^6.716*y - (t^6.916*y)/g2^12 - (t^7.015*y)/(g1*g2^19) - (g1^2*t^7.242*y)/g2^18 + (g2^10*t^7.368*y)/g1^2 + g1*g2^11*t^7.595*y + 2*g2^4*t^7.695*y + (t^7.794*y)/(g1*g2^3) + (2*t^7.894*y)/(g1^2*g2^10) + g1^3*g2^5*t^7.922*y + (t^7.994*y)/(g1^3*g2^17) + (2*g1^2*t^8.021*y)/g2^2 + (2*g1*t^8.121*y)/g2^9 + (2*t^8.221*y)/g2^16 + (t^8.321*y)/(g1*g2^23) + (g1^4*t^8.348*y)/g2^8 + (g1^3*t^8.448*y)/g2^15 + (g1^2*t^8.548*y)/g2^22 + (g1*t^8.647*y)/g2^29 + (t^8.773*y)/(g1^3*g2) - (t^8.873*y)/(g1^4*g2^8) + g1*g2^7*t^8.9*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
1563	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$	0.6212	0.7642	0.8129	[X:[1.4041], M:[1.0207, 0.5959, 0.7124, 0.9041, 1.0959, 1.0], q:[0.6814, 0.2979], qb:[0.6062, 0.7979], phi:[0.4041]]	t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*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
609	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6698	0.8297	0.8073	[M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]]	t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y	detail