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
207	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]]	[M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	-4	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - 4*t^6.091 + t^6.726 + 4*t^6.817 + 10*t^6.908 + 3*t^6.984 + 20*t^6.999 + 12*t^7.075 + t^7.152 + 12*t^7.167 + t^7.243 + 8*t^7.258 + t^8.06 + t^8.151 - 7*t^8.242 + 3*t^8.318 - 22*t^8.333 - 13*t^8.424 - 4*t^8.5 - 4*t^8.592 + t^8.968 - t^4.167/y - t^6.408/y - (4*t^6.5)/y + (4*t^7.575)/y + (6*t^7.666)/y + (4*t^7.833)/y + t^7.925/y - t^8.65/y - (4*t^8.742)/y + t^8.818/y - (10*t^8.833)/y + (5*t^8.909)/y - t^4.167*y - t^6.408*y - 4*t^6.5*y + 4*t^7.575*y + 6*t^7.666*y + 4*t^7.833*y + t^7.925*y - t^8.65*y - 4*t^8.742*y + t^8.818*y - 10*t^8.833*y + 5*t^8.909*y	t^2.242/(g1*g2^2) + t^2.333/(g1*g3^2) + (g1*t^2.333)/(g2^4*g3^2) + (2*t^2.333)/(g2^2*g3^2) + (g2^2*g3^4*t^3.576)/g1 + g2^2*g3^2*t^3.667 + t^4.484/(g1^2*g2^4) + t^4.575/(g2^6*g3^2) + (2*t^4.575)/(g1*g2^4*g3^2) + t^4.575/(g1^2*g2^2*g3^2) + t^4.666/(g1^2*g3^4) + (g1^2*t^4.666)/(g2^8*g3^4) + (2*g1*t^4.666)/(g2^6*g3^4) + (4*t^4.666)/(g2^4*g3^4) + (2*t^4.666)/(g1*g2^2*g3^4) + (g3^3*t^4.742)/g2 + (g2*g3^3*t^4.742)/g1 + (g2^3*g3^3*t^4.742)/g1^2 + (g1*g3*t^4.833)/g2 + 2*g2*g3*t^4.833 + (g2^3*g3*t^4.833)/g1 + (g1^2*t^4.925)/(g2*g3) + (g1*g2*t^4.925)/g3 + (g2^3*t^4.925)/g3 + (g3^4*t^5.818)/g1^2 + (g3^2*t^5.909)/g1 - 2*t^6. - (g1*t^6.)/g2^2 - (g2^2*t^6.)/g1 - (2*g1*t^6.091)/g3^2 - (g1^2*t^6.091)/(g2^2*g3^2) - (g2^2*t^6.091)/g3^2 + t^6.726/(g1^3*g2^6) + t^6.817/(g1*g2^8*g3^2) + (2*t^6.817)/(g1^2*g2^6*g3^2) + t^6.817/(g1^3*g2^4*g3^2) + (g1*t^6.908)/(g2^10*g3^4) + (2*t^6.908)/(g2^8*g3^4) + (4*t^6.908)/(g1*g2^6*g3^4) + (2*t^6.908)/(g1^2*g2^4*g3^4) + t^6.908/(g1^3*g2^2*g3^4) + (g3^3*t^6.984)/(g1*g2^3) + (g3^3*t^6.984)/(g1^2*g2) + (g2*g3^3*t^6.984)/g1^3 + t^6.999/(g1^3*g3^6) + (g1^3*t^6.999)/(g2^12*g3^6) + (2*g1^2*t^6.999)/(g2^10*g3^6) + (4*g1*t^6.999)/(g2^8*g3^6) + (6*t^6.999)/(g2^6*g3^6) + (4*t^6.999)/(g1*g2^4*g3^6) + (2*t^6.999)/(g1^2*g2^2*g3^6) + (g1*g3*t^7.075)/g2^5 + (3*g3*t^7.075)/g2^3 + (4*g3*t^7.075)/(g1*g2) + (3*g2*g3*t^7.075)/g1^2 + (g2^3*g3*t^7.075)/g1^3 + (g2^4*g3^8*t^7.152)/g1^2 + (g1^2*t^7.167)/(g2^5*g3) + (3*g1*t^7.167)/(g2^3*g3) + (4*t^7.167)/(g2*g3) + (3*g2*t^7.167)/(g1*g3) + (g2^3*t^7.167)/(g1^2*g3) + (g2^4*g3^6*t^7.243)/g1 + (g1^3*t^7.258)/(g2^5*g3^3) + (2*g1^2*t^7.258)/(g2^3*g3^3) + (2*g1*t^7.258)/(g2*g3^3) + (2*g2*t^7.258)/g3^3 + (g2^3*t^7.258)/(g1*g3^3) + (g3^4*t^8.06)/(g1^3*g2^2) + (g3^2*t^8.151)/(g1^2*g2^2) - (2*t^8.242)/g1^2 - (2*t^8.242)/g2^4 - (3*t^8.242)/(g1*g2^2) + (g2*g3^7*t^8.318)/g1 + (g2^3*g3^7*t^8.318)/g1^2 + (g2^5*g3^7*t^8.318)/g1^3 - (6*t^8.333)/(g1*g3^2) - (g1^2*t^8.333)/(g2^6*g3^2) - (6*g1*t^8.333)/(g2^4*g3^2) - (8*t^8.333)/(g2^2*g3^2) - (g2^2*t^8.333)/(g1^2*g3^2) - (3*t^8.424)/g3^4 - (g1^3*t^8.424)/(g2^6*g3^4) - (3*g1^2*t^8.424)/(g2^4*g3^4) - (5*g1*t^8.424)/(g2^2*g3^4) - (g2^2*t^8.424)/(g1*g3^4) - g1*g2*g3^3*t^8.5 - 2*g2^3*g3^3*t^8.5 - (g2^5*g3^3*t^8.5)/g1 - g1^2*g2*g3*t^8.592 - 2*g1*g2^3*g3*t^8.592 - g2^5*g3*t^8.592 + t^8.968/(g1^4*g2^8) - t^4.167/(g2*g3*y) - t^6.408/(g1*g2^3*g3*y) - (g1*t^6.5)/(g2^5*g3^3*y) - (2*t^6.5)/(g2^3*g3^3*y) - t^6.5/(g1*g2*g3^3*y) + t^7.575/(g2^6*g3^2*y) + (2*t^7.575)/(g1*g2^4*g3^2*y) + t^7.575/(g1^2*g2^2*g3^2*y) + (2*g1*t^7.666)/(g2^6*g3^4*y) + (2*t^7.666)/(g2^4*g3^4*y) + (2*t^7.666)/(g1*g2^2*g3^4*y) + (g1*g3*t^7.833)/(g2*y) + (2*g2*g3*t^7.833)/y + (g2^3*g3*t^7.833)/(g1*y) + (g1*g2*t^7.925)/(g3*y) - t^8.65/(g1^2*g2^5*g3*y) - t^8.742/(g2^7*g3^3*y) - (2*t^8.742)/(g1*g2^5*g3^3*y) - t^8.742/(g1^2*g2^3*g3^3*y) + (g3^4*t^8.818)/(g1^2*y) - (g1^2*t^8.833)/(g2^9*g3^5*y) - (2*g1*t^8.833)/(g2^7*g3^5*y) - (4*t^8.833)/(g2^5*g3^5*y) - (2*t^8.833)/(g1*g2^3*g3^5*y) - t^8.833/(g1^2*g2*g3^5*y) + (3*g3^2*t^8.909)/(g1*y) + (g3^2*t^8.909)/(g2^2*y) + (g2^2*g3^2*t^8.909)/(g1^2*y) - (t^4.167*y)/(g2*g3) - (t^6.408*y)/(g1*g2^3*g3) - (g1*t^6.5*y)/(g2^5*g3^3) - (2*t^6.5*y)/(g2^3*g3^3) - (t^6.5*y)/(g1*g2*g3^3) + (t^7.575*y)/(g2^6*g3^2) + (2*t^7.575*y)/(g1*g2^4*g3^2) + (t^7.575*y)/(g1^2*g2^2*g3^2) + (2*g1*t^7.666*y)/(g2^6*g3^4) + (2*t^7.666*y)/(g2^4*g3^4) + (2*t^7.666*y)/(g1*g2^2*g3^4) + (g1*g3*t^7.833*y)/g2 + 2*g2*g3*t^7.833*y + (g2^3*g3*t^7.833*y)/g1 + (g1*g2*t^7.925*y)/g3 - (t^8.65*y)/(g1^2*g2^5*g3) - (t^8.742*y)/(g2^7*g3^3) - (2*t^8.742*y)/(g1*g2^5*g3^3) - (t^8.742*y)/(g1^2*g2^3*g3^3) + (g3^4*t^8.818*y)/g1^2 - (g1^2*t^8.833*y)/(g2^9*g3^5) - (2*g1*t^8.833*y)/(g2^7*g3^5) - (4*t^8.833*y)/(g2^5*g3^5) - (2*t^8.833*y)/(g1*g2^3*g3^5) - (t^8.833*y)/(g1^2*g2*g3^5) + (3*g3^2*t^8.909*y)/g1 + (g3^2*t^8.909*y)/g2^2 + (g2^2*g3^2*t^8.909*y)/g1^2

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
330	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$	0.7046	0.8591	0.8202	[M:[0.9439, 0.9439, 0.9439, 1.0561], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]]	4*t^2.832 + 2*t^3.168 + t^3.505 + 3*t^4.248 + 4*t^4.584 + 3*t^4.921 + 6*t^5.664 - t^4.416/y - t^4.416*y	detail
329	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.7203	0.8807	0.8179	[M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]]	t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y	detail
332	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$	0.7566	0.9235	0.8193	[M:[0.7979, 0.8325, 0.7634, 0.7634, 1.1675], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]]	2*t^2.29 + 2*t^2.394 + 2*t^3.503 + t^3.606 + 3*t^4.58 + t^4.596 + 4*t^4.684 + 2*t^4.699 + 3*t^4.788 + 4*t^4.803 + 2*t^4.907 + t^5.01 + 3*t^5.793 + 2*t^5.896 - 4*t^6. - t^4.197/y - t^4.197*y	detail
328	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$	0.7331	0.8939	0.8201	[M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]]	4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. - t^4.281/y - t^4.281*y	detail
336	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7904	0.9838	0.8034	[M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]]	6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y	detail	{a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21}

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
126	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.7546	0.9174	0.8226	[M:[0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]]	4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*y	detail