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
480	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$	0.5873	0.7232	0.8121	[X:[1.4354], M:[1.0024, 0.5646, 0.9976, 0.7764, 1.0024], q:[0.6917, 0.9177], qb:[0.3059, 0.5224], phi:[0.3906]]	[X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5], [-20, 12], [8, -5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. + 2*t^6.014 + t^6.127 + t^6.142 - t^6.508 - t^6.522 + t^6.635 + 2*t^6.649 + t^6.664 + t^6.791 + t^6.805 + t^6.988 + t^7.002 + t^7.016 + t^7.03 + t^7.143 + t^7.157 - t^7.186 + t^7.285 + t^7.299 + 2*t^7.313 + t^7.327 + t^7.455 + t^7.665 + t^7.694 - t^7.821 + t^7.835 + t^7.948 + t^7.963 + 2*t^7.977 + t^8.301 + t^8.315 - 2*t^8.329 - t^8.343 + t^8.456 + t^8.471 - 3*t^8.485 + t^8.499 + 2*t^8.612 + 2*t^8.626 + t^8.641 - t^8.837 - t^8.851 + t^8.964 + t^8.979 - t^8.993 - t^4.172/y - t^6.501/y - t^6.515/y + t^7.165/y - t^7.179/y + t^7.673/y + t^7.814/y + (2*t^7.828)/y + t^7.843/y + (2*t^8.336)/y + (2*t^8.351)/y + (2*t^8.492)/y - t^8.83/y - t^8.844/y - t^8.858/y + t^8.972/y + (2*t^8.986)/y - t^4.172*y - t^6.501*y - t^6.515*y + t^7.165*y - t^7.179*y + t^7.673*y + t^7.814*y + 2*t^7.828*y + t^7.843*y + 2*t^8.336*y + 2*t^8.351*y + 2*t^8.492*y - t^8.83*y - t^8.844*y - t^8.858*y + t^8.972*y + 2*t^8.986*y	(g2^12*t^2.329)/g1^20 + (g2^2*t^2.343)/g1^4 + (g1^6*t^2.485)/g2^3 + (2*g1^8*t^3.007)/g2^5 + (g2^8*t^3.642)/g1^12 + (g1^4*t^3.657)/g2^2 + g2*t^4.306 + (g1^16*t^4.32)/g2^9 + (g2^24*t^4.658)/g1^40 + (g2^14*t^4.673)/g1^24 + (g2^4*t^4.687)/g1^8 + (g2^9*t^4.814)/g1^14 + (2*g1^2*t^4.828)/g2 + (g1^12*t^4.97)/g2^6 + (g2^7*t^5.336)/g1^12 + (g1^4*t^5.351)/g2^3 + (2*g1^14*t^5.492)/g2^8 + (g2^20*t^5.972)/g1^32 + (g2^10*t^5.986)/g1^16 - 2*t^6. + (2*g1^16*t^6.014)/g2^10 + (g2^5*t^6.127)/g1^6 + (g1^10*t^6.142)/g2^5 - (g2^8*t^6.508)/g1^14 - (g1^2*t^6.522)/g2^2 + (g2^13*t^6.635)/g1^20 + (2*g2^3*t^6.649)/g1^4 + (g1^12*t^6.664)/g2^7 + (g1^6*t^6.791)/g2^2 + (g1^22*t^6.805)/g2^12 + (g2^36*t^6.988)/g1^60 + (g2^26*t^7.002)/g1^44 + (g2^16*t^7.016)/g1^28 + (g2^6*t^7.03)/g1^12 + (g2^21*t^7.143)/g1^34 + (g2^11*t^7.157)/g1^18 - (g1^14*t^7.186)/g2^9 + (g2^16*t^7.285)/g1^24 + (g2^6*t^7.299)/g1^8 + (2*g1^8*t^7.313)/g2^4 + (g1^24*t^7.327)/g2^14 + (g1^18*t^7.455)/g2^9 + (g2^19*t^7.665)/g1^32 + t^7.694/g2 - (g2^4*t^7.821)/g1^6 + (g1^10*t^7.835)/g2^6 + (g2^9*t^7.948)/g1^12 + (g1^4*t^7.963)/g2 + (2*g1^20*t^7.977)/g2^11 + (g2^32*t^8.301)/g1^52 + (g2^22*t^8.315)/g1^36 - (2*g2^12*t^8.329)/g1^20 - (g2^2*t^8.343)/g1^4 + (g2^17*t^8.456)/g1^26 + (g2^7*t^8.471)/g1^10 - (3*g1^6*t^8.485)/g2^3 + (g1^22*t^8.499)/g2^13 + 2*g2^2*t^8.612 + (2*g1^16*t^8.626)/g2^8 + (g1^32*t^8.641)/g2^18 - (g2^20*t^8.837)/g1^34 - (g2^10*t^8.851)/g1^18 + (g2^25*t^8.964)/g1^40 + (g2^15*t^8.979)/g1^24 - (g2^5*t^8.993)/g1^8 - (g2*t^4.172)/(g1^2*y) - (g2^13*t^6.501)/(g1^22*y) - (g2^3*t^6.515)/(g1^6*y) + (g2^6*t^7.165)/(g1^10*y) - (g1^6*t^7.179)/(g2^4*y) + (g2^14*t^7.673)/(g1^24*y) + (g2^9*t^7.814)/(g1^14*y) + (2*g1^2*t^7.828)/(g2*y) + (g1^18*t^7.843)/(g2^11*y) + (2*g2^7*t^8.336)/(g1^12*y) + (2*g1^4*t^8.351)/(g2^3*y) + (2*g1^14*t^8.492)/(g2^8*y) - (g2^25*t^8.83)/(g1^42*y) - (g2^15*t^8.844)/(g1^26*y) - (g2^5*t^8.858)/(g1^10*y) + (g2^20*t^8.972)/(g1^32*y) + (2*g2^10*t^8.986)/(g1^16*y) - (g2*t^4.172*y)/g1^2 - (g2^13*t^6.501*y)/g1^22 - (g2^3*t^6.515*y)/g1^6 + (g2^6*t^7.165*y)/g1^10 - (g1^6*t^7.179*y)/g2^4 + (g2^14*t^7.673*y)/g1^24 + (g2^9*t^7.814*y)/g1^14 + (2*g1^2*t^7.828*y)/g2 + (g1^18*t^7.843*y)/g2^11 + (2*g2^7*t^8.336*y)/g1^12 + (2*g1^4*t^8.351*y)/g2^3 + (2*g1^14*t^8.492*y)/g2^8 - (g2^25*t^8.83*y)/g1^42 - (g2^15*t^8.844*y)/g1^26 - (g2^5*t^8.858*y)/g1^10 + (g2^20*t^8.972*y)/g1^32 + (2*g2^10*t^8.986*y)/g1^16

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
766	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$	0.5604	0.6948	0.8065	[X:[1.4355], M:[0.9129, 0.5645, 1.0871, 1.0, 0.9129], q:[0.8371, 0.75], qb:[0.25, 0.5113], phi:[0.4129]]	t^2.284 + t^2.477 + 2*t^2.739 + t^3. + t^3.523 + t^3.784 + t^4.045 + t^4.306 + t^4.568 + 2*t^4.761 + t^4.955 + 2*t^5.023 + t^5.216 + t^5.284 + 3*t^5.477 + t^5.739 + t^5.806 - t^6. - t^4.239/y - t^4.239*y	detail
1855	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6058	0.7557	0.8017	[X:[1.4759], M:[0.9867, 0.5241, 1.0133, 0.7954, 0.9867, 0.742], q:[0.7122, 0.9035], qb:[0.3012, 0.5458], phi:[0.3844]]	t^2.226 + t^2.306 + t^2.386 + t^2.541 + 2*t^2.96 + t^3.694 + t^4.348 + t^4.428 + t^4.452 + t^4.532 + 2*t^4.612 + t^4.692 + t^4.767 + t^4.772 + 2*t^4.847 + t^4.927 + t^5.082 + 2*t^5.186 + t^5.266 + t^5.346 + 2*t^5.501 + 3*t^5.92 - 2*t^6. - t^4.153/y - t^4.153*y	detail
769	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$	0.5425	0.6456	0.8403	[X:[1.6836, 1.3333], M:[0.983, 0.3164, 1.017, 0.7006, 0.983], q:[0.6921, 0.9745], qb:[0.3248, 0.6752], phi:[0.3333]]	t^2.102 + 2*t^2.949 + t^3. + 2*t^4. + t^4.102 + t^4.204 + t^5. + 2*t^5.051 + t^5.102 + 2*t^5.898 + t^5.949 - 2*t^6. - t^4./y - t^4.*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
305	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.5883	0.7268	0.8095	[X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]]	t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y	detail	{a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51}