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
5020	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.6131	0.7864	0.7797	[X:[1.5772], M:[0.4228, 1.2684, 0.7316, 0.9596, 1.0404, 0.7316, 0.8456, 0.7649], q:[0.943, 0.6342], qb:[0.3254, 0.4062], phi:[0.4228]]	[X:[[2]], M:[[-2], [-6], [6], [-14], [14], [6], [-4], [-32]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$	${}$	-2	2*t^2.195 + t^2.295 + 2*t^2.537 + t^2.879 + t^3.121 + t^3.221 + t^4.047 + 3*t^4.39 + 2*t^4.489 + t^4.589 + 5*t^4.732 + 2*t^4.831 + 5*t^5.074 + t^5.174 + 2*t^5.316 + 4*t^5.416 + t^5.516 + t^5.658 + 2*t^5.758 - 2*t^6. + t^6.1 + 2*t^6.242 + t^6.442 + 4*t^6.584 + t^6.684 + 2*t^6.784 + t^6.884 + 5*t^6.926 + 4*t^7.026 + 2*t^7.126 + 9*t^7.268 + 5*t^7.368 + t^7.468 + t^7.511 + 10*t^7.61 + 4*t^7.71 + t^7.81 + t^7.853 + 6*t^7.953 + 2*t^8.052 + t^8.095 - 5*t^8.195 + 2*t^8.295 + t^8.395 + 2*t^8.437 - 6*t^8.537 + 3*t^8.637 + t^8.737 + 4*t^8.779 - 4*t^8.879 + 3*t^8.979 - t^4.268/y - t^6.463/y - t^6.563/y - (2*t^6.805)/y + t^7.39/y + (2*t^7.489)/y + (6*t^7.732)/y + (2*t^7.831)/y + t^7.974/y + (4*t^8.074)/y + t^8.174/y + (2*t^8.316)/y + (5*t^8.416)/y + t^8.516/y + t^8.658/y + t^8.758/y - t^8.858/y - t^4.268*y - t^6.463*y - t^6.563*y - 2*t^6.805*y + t^7.39*y + 2*t^7.489*y + 6*t^7.732*y + 2*t^7.831*y + t^7.974*y + 4*t^8.074*y + t^8.174*y + 2*t^8.316*y + 5*t^8.416*y + t^8.516*y + t^8.658*y + t^8.758*y - t^8.858*y	2*g1^6*t^2.195 + t^2.295/g1^32 + (2*t^2.537)/g1^4 + t^2.879/g1^14 + g1^14*t^3.121 + t^3.221/g1^24 + g1^22*t^4.047 + 3*g1^12*t^4.39 + (2*t^4.489)/g1^26 + t^4.589/g1^64 + 5*g1^2*t^4.732 + (2*t^4.831)/g1^36 + (5*t^5.074)/g1^8 + t^5.174/g1^46 + 2*g1^20*t^5.316 + (4*t^5.416)/g1^18 + t^5.516/g1^56 + g1^10*t^5.658 + (2*t^5.758)/g1^28 - 2*t^6. + t^6.1/g1^38 + 2*g1^28*t^6.242 + t^6.442/g1^48 + 4*g1^18*t^6.584 + t^6.684/g1^20 + (2*t^6.784)/g1^58 + t^6.884/g1^96 + 5*g1^8*t^6.926 + (4*t^7.026)/g1^30 + (2*t^7.126)/g1^68 + (9*t^7.268)/g1^2 + (5*t^7.368)/g1^40 + t^7.468/g1^78 + g1^26*t^7.511 + (10*t^7.61)/g1^12 + (4*t^7.71)/g1^50 + t^7.81/g1^88 + g1^16*t^7.853 + (6*t^7.953)/g1^22 + (2*t^8.052)/g1^60 + g1^44*t^8.095 - 5*g1^6*t^8.195 + (2*t^8.295)/g1^32 + t^8.395/g1^70 + 2*g1^34*t^8.437 - (6*t^8.537)/g1^4 + (3*t^8.637)/g1^42 + t^8.737/g1^80 + 4*g1^24*t^8.779 - (4*t^8.879)/g1^14 + (3*t^8.979)/g1^52 - t^4.268/(g1^2*y) - (g1^4*t^6.463)/y - t^6.563/(g1^34*y) - (2*t^6.805)/(g1^6*y) + (g1^12*t^7.39)/y + (2*t^7.489)/(g1^26*y) + (6*g1^2*t^7.732)/y + (2*t^7.831)/(g1^36*y) + (g1^30*t^7.974)/y + (4*t^8.074)/(g1^8*y) + t^8.174/(g1^46*y) + (2*g1^20*t^8.316)/y + (5*t^8.416)/(g1^18*y) + t^8.516/(g1^56*y) + (g1^10*t^8.658)/y + t^8.758/(g1^28*y) - t^8.858/(g1^66*y) - (t^4.268*y)/g1^2 - g1^4*t^6.463*y - (t^6.563*y)/g1^34 - (2*t^6.805*y)/g1^6 + g1^12*t^7.39*y + (2*t^7.489*y)/g1^26 + 6*g1^2*t^7.732*y + (2*t^7.831*y)/g1^36 + g1^30*t^7.974*y + (4*t^8.074*y)/g1^8 + (t^8.174*y)/g1^46 + 2*g1^20*t^8.316*y + (5*t^8.416*y)/g1^18 + (t^8.516*y)/g1^56 + g1^10*t^8.658*y + (t^8.758*y)/g1^28 - (t^8.858*y)/g1^66

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
6590	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$	0.5912	0.757	0.781	[X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.6957, 0.8696, 0.9565], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]]	2*t^2.087 + 2*t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + 3*t^4.174 + 5*t^4.696 + 4*t^4.957 + 5*t^5.217 + 3*t^5.478 + 7*t^5.739 - t^6. - t^4.304/y - t^4.304*y	detail	{a: 115089/194672, c: 73679/97336, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 16/23, M7: 20/23, M8: 22/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23}
6589	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}^{2}$	0.5806	0.7447	0.7797	[X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 0.6875, 0.875, 1.0], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]]	2*t^2.063 + 2*t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.563 + t^3.75 + 3*t^4.125 + 5*t^4.688 + 2*t^4.875 + 2*t^5.063 + 5*t^5.25 + t^5.438 + 4*t^5.625 + 4*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 9513/16384, c: 12201/16384, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 11/16, M7: 7/8, M8: 1, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16}

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
3163	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.596	0.7558	0.7886	[X:[1.5739], M:[0.4261, 1.2783, 0.7217, 0.9827, 1.0173, 0.7217, 0.8522], q:[0.9347, 0.6392], qb:[0.3436, 0.3781], phi:[0.4261]]	2*t^2.165 + 2*t^2.557 + t^2.948 + t^3.052 + t^3.34 + t^3.547 + t^3.938 + 3*t^4.33 + 5*t^4.722 + 5*t^5.113 + 2*t^5.217 + 3*t^5.505 + t^5.608 + 2*t^5.712 + 2*t^5.896 - 2*t^6. - t^4.278/y - t^4.278*y	detail