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
855	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6214	0.8083	0.7688	[M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]]	[M:[[4], [-12], [4], [12], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-2	3*t^2.212 + t^2.546 + 2*t^2.849 + t^3.454 + 2*t^3.485 + t^3.788 + 3*t^4.121 + 6*t^4.424 + 3*t^4.758 + 6*t^5.061 + t^5.091 + 2*t^5.394 + t^5.666 + 8*t^5.697 - 2*t^6. + 2*t^6.031 + 10*t^6.334 + 8*t^6.636 + 3*t^6.667 + t^6.909 - 2*t^6.939 + 12*t^6.97 - t^7.242 + 9*t^7.273 + 3*t^7.304 - 4*t^7.576 + 10*t^7.606 + t^7.637 + 15*t^7.909 + 2*t^7.94 - 11*t^8.212 + 13*t^8.243 - 4*t^8.515 + 18*t^8.546 + 2*t^8.576 - 2*t^8.849 + 10*t^8.879 - t^4.576/y - t^6.788/y + (2*t^7.424)/y + t^7.727/y + (3*t^7.758)/y + (6*t^8.061)/y + t^8.364/y + (2*t^8.394)/y + (3*t^8.666)/y + (7*t^8.697)/y - t^4.576*y - t^6.788*y + 2*t^7.424*y + t^7.727*y + 3*t^7.758*y + 6*t^8.061*y + t^8.364*y + 2*t^8.394*y + 3*t^8.666*y + 7*t^8.697*y	3*g1*t^2.212 + g1^12*t^2.546 + 2*g1^4*t^2.849 + t^3.454/g1^12 + 2*g1^7*t^3.485 + t^3.788/g1 + 3*g1^10*t^4.121 + 6*g1^2*t^4.424 + 3*g1^13*t^4.758 + 6*g1^5*t^5.061 + g1^24*t^5.091 + 2*g1^16*t^5.394 + t^5.666/g1^11 + 8*g1^8*t^5.697 - 2*t^6. + 2*g1^19*t^6.031 + 10*g1^11*t^6.334 + 8*g1^3*t^6.636 + 3*g1^22*t^6.667 + t^6.909/g1^24 - (2*t^6.939)/g1^5 + 12*g1^14*t^6.97 - t^7.242/g1^13 + 9*g1^6*t^7.273 + 3*g1^25*t^7.304 - (4*t^7.576)/g1^2 + 10*g1^17*t^7.606 + g1^36*t^7.637 + 15*g1^9*t^7.909 + 2*g1^28*t^7.94 - 11*g1*t^8.212 + 13*g1^20*t^8.243 - (4*t^8.515)/g1^7 + 18*g1^12*t^8.546 + 2*g1^31*t^8.576 - 2*g1^4*t^8.849 + 10*g1^23*t^8.879 - t^4.576/(g1^2*y) - t^6.788/(g1*y) + (2*g1^2*t^7.424)/y + t^7.727/(g1^6*y) + (3*g1^13*t^7.758)/y + (6*g1^5*t^8.061)/y + t^8.364/(g1^3*y) + (2*g1^16*t^8.394)/y + (3*t^8.666)/(g1^11*y) + (7*g1^8*t^8.697)/y - (t^4.576*y)/g1^2 - (t^6.788*y)/g1 + 2*g1^2*t^7.424*y + (t^7.727*y)/g1^6 + 3*g1^13*t^7.758*y + 6*g1^5*t^8.061*y + (t^8.364*y)/g1^3 + 2*g1^16*t^8.394*y + (3*t^8.666*y)/g1^11 + 7*g1^8*t^8.697*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
1348	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$	0.5207	0.6697	0.7775	[M:[1.0769, 0.7692, 1.0769, 1.2308, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]]	4*t^2.308 + 2*t^3.231 + 2*t^3.692 + 2*t^4.154 + 8*t^4.615 + 3*t^5.077 + 6*t^5.538 - t^4.385/y - t^4.385*y	detail	{a: 18303/35152, c: 11771/17576, M1: 14/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13}
1350	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$	0.6019	0.7721	0.7795	[M:[0.9502, 1.1494, 0.9502, 0.8506, 0.7376, 1.2624], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]]	2*t^2.213 + t^2.552 + 2*t^2.851 + t^3.448 + 2*t^3.489 + 2*t^3.787 + 3*t^4.127 + 3*t^4.425 + 2*t^4.764 + 4*t^5.063 + t^5.104 + 2*t^5.402 + 6*t^5.701 - t^6. - t^4.575/y - t^4.575*y	detail
1349	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6104	0.8093	0.7543	[M:[0.9091, 1.2727, 0.9091, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]]	4*t^2.182 + 2*t^2.727 + 2*t^3.273 + 5*t^3.818 + 10*t^4.364 + 8*t^4.909 + 10*t^5.455 + 12*t^6. - t^4.636/y - t^4.636*y	detail	{a: 12999/21296, c: 8617/10648, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, M5: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11}
1351	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6409	0.8444	0.759	[M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]]	4*t^2.212 + t^2.54 + 2*t^2.847 + t^3.46 + 2*t^3.481 + 3*t^4.116 + 10*t^4.423 + 4*t^4.751 + 8*t^5.058 + t^5.079 + 2*t^5.386 + 2*t^5.672 + 10*t^5.693 - 5*t^6. - t^4.577/y - t^4.577*y	detail
2018	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6359	0.8312	0.7651	[M:[0.9585, 1.1246, 0.9585, 0.8754, 0.7396, 0.8227], q:[0.7396, 0.3019], qb:[0.4377, 0.4377], phi:[0.5208]]	3*t^2.219 + t^2.468 + t^2.626 + 2*t^2.875 + t^3.374 + t^3.532 + t^3.781 + 3*t^4.189 + 6*t^4.438 + 3*t^4.687 + 3*t^4.845 + t^4.936 + 7*t^5.094 + t^5.253 + 2*t^5.343 + 2*t^5.502 + t^5.593 + 5*t^5.751 + t^5.842 - t^6. - t^4.562/y - t^4.562*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
545	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6216	0.8089	0.7684	[M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]]	2*t^2.188 + t^2.237 + t^2.547 + 2*t^2.849 + t^3.453 + t^3.461 + t^3.51 + t^3.763 + t^4.073 + t^4.122 + t^4.171 + 3*t^4.375 + 2*t^4.424 + t^4.474 + 2*t^4.734 + t^4.783 + 4*t^5.036 + 2*t^5.086 + t^5.093 + 2*t^5.395 + t^5.641 + 2*t^5.649 + 5*t^5.698 + t^5.747 + t^5.951 - 2*t^6. - t^4.576/y - t^4.576*y	detail